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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids

As of 11 August 2026, this Paper Citation Record lists 79 of 79 outbound references and 0 inbound Pith citation observations for arXiv:2607.15362.

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2607.15362 v1

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measured 79 of 79 reference resolution

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Outbound references

Observation 26fba426-70e4-429f-9c05-98b2e703d985 · outbound

This paper cites Use of the Boltzmann equation to simulate lattice-gas automata.Physical review letters, 61(20):2332, 1988.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Use of the Boltzmann equation to simulate lattice-gas automata.Physical review letters, 61(20):2332, 1988

Reference 1

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Observation a2fe9226-e2ef-40f2-a2ca-81bd4e1ca053 · outbound

This paper cites Boltzmann approach to lattice gas simulations.EPL (Euro- physics Letters), 9(7):663, 1989.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Boltzmann approach to lattice gas simulations.EPL (Euro- physics Letters), 9(7):663, 1989

Reference 2

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Observation 10ae9beb-76ca-4426-b4f0-346f72db81ff · outbound

This paper cites Lattice BGK models for navier- stokes equation.EPL (Europhysics Letters), 17(6):479, 1992.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice BGK models for navier- stokes equation.EPL (Europhysics Letters), 17(6):479, 1992

Reference 3

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Observation ba91f864-da5b-421c-8e50-30e53c275aee · outbound

This paper cites The lattice Boltzmann equation: theory and applications.Physics Reports, 222(3):145–197, 1992.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids The lattice Boltzmann equation: theory and applications.Physics Reports, 222(3):145–197, 1992

Reference 4

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Observation 81028225-de5d-44b3-a283-9fc7f8925998 · outbound

This paper cites Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation.Physical Review E, 56(6):6811, 1997.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation.Physical Review E, 56(6):6811, 1997

Reference 5

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Observation d17b4dd6-9442-4a9e-8bca-0c403cd1ec3a · outbound

This paper cites Lattice Boltzmann method for fluid flows.Annual review of fluid mechanics, 30(1):329–364, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltzmann method for fluid flows.Annual review of fluid mechanics, 30(1):329–364, 1998

Reference 6

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Observation 0b4ae63d-bde1-441c-b17a-c21841017425 · outbound

This paper cites The lattice Boltzmann method for nearly incompressible flows.Journal of Computational Physics, 431:109713, 2021.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids The lattice Boltzmann method for nearly incompressible flows.Journal of Computational Physics, 431:109713, 2021

Reference 7

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Observation 6c3f0b04-6388-4973-858b-ae754233a258 · outbound

This paper cites Multiple–relaxation–time lattice Boltzmann models in three dimen- sions.Philosophical Transactions of the Royal Society of London.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Multiple–relaxation–time lattice Boltzmann models in three dimen- sions.Philosophical Transactions of the Royal Society of London

Reference 8

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Observation 3342ac2b-1e97-41ed-bd54-c53f0cec41e4 · outbound

This paper cites Cascaded digital lattice Boltzmann au- tomata for high Reynolds number flow.Physical Review E, 73(6):066705, 2006.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Cascaded digital lattice Boltzmann au- tomata for high Reynolds number flow.Physical Review E, 73(6):066705, 2006

Reference 9

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Observation 5a49e551-0ddb-4b66-8aef-bab092ac4a82 · outbound

This paper cites The cumulant lattice Boltzmann equation in three dimensions: Theory and validation.Computers & Mathematics with Applications, 70(4):507–547, 2015.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids The cumulant lattice Boltzmann equation in three dimensions: Theory and validation.Computers & Mathematics with Applications, 70(4):507–547, 2015

Reference 10

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Observation 4eaae63b-591e-423f-a7aa-d1c476eee3c5 · outbound

This paper cites Entropic lattice Boltzmann methods: A review.Computers & Fluids, 259:105884, 2023.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Entropic lattice Boltzmann methods: A review.Computers & Fluids, 259:105884, 2023

Reference 11

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Observation 957e0e94-0654-463c-a766-68f409bf1331 · outbound

This paper cites Fokker-Planck central moment lattice Boltzmann method for effective simulations of fluid dynamics.Fluids, 9(11):255, 2024.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Fokker-Planck central moment lattice Boltzmann method for effective simulations of fluid dynamics.Fluids, 9(11):255, 2024

Reference 12

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Observation ecd86261-69f1-4d71-b4bc-441e33256abd · outbound

This paper cites Physical symmetry and lattice symmetry in the lattice Boltzmann method.Physical review E, 55(1):R21, 1997.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Physical symmetry and lattice symmetry in the lattice Boltzmann method.Physical review E, 55(1):R21, 1997

Reference 13

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Observation f554c478-10d9-4c73-a138-218445bb8533 · outbound

This paper cites Some progress in lattice Boltzmann method.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Some progress in lattice Boltzmann method

Reference 14

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Observation bb6df81b-98a2-4b3a-a312-7a51e6632d65 · outbound

This paper cites Large eddy simulations of a stirred tank using the lattice Boltzmann method on a nonuniform grid.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Large eddy simulations of a stirred tank using the lattice Boltzmann method on a nonuniform grid

Reference 15

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Observation 066adabd-1033-42be-a0ef-283634c5c5bd · outbound

This paper cites Accuracy of discrete-velocity BGK models for the simu- lation of the incompressible Navier-Stokes equations.Computers & fluids, 24(4):459–467, 1995.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Accuracy of discrete-velocity BGK models for the simu- lation of the incompressible Navier-Stokes equations.Computers & fluids, 24(4):459–467, 1995

Reference 16

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Observation de40966f-6d86-4240-8a06-fb3fe92e2717 · outbound

This paper cites Lattice Boltzmann method on irregular meshes.Physical Review E, 58(4):R4124, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltzmann method on irregular meshes.Physical Review E, 58(4):R4124, 1998

Reference 17

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Observation 36f417f6-427e-4cbd-b092-1589e48e3b68 · outbound

This paper cites Least-squares finite-element lattice Boltzmann method.Physical Review E, 69(6):065701, 2004.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Least-squares finite-element lattice Boltzmann method.Physical Review E, 69(6):065701, 2004

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Observation 02ff3db9-2322-4ef4-8303-a538a1ac55a0 · outbound

This paper cites Theory of the lattice Boltzmann method: Dispersion, dissi- pation, isotropy, galilean invariance, and stability.Physical Review E, 61(6):6546, 2000.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Theory of the lattice Boltzmann method: Dispersion, dissi- pation, isotropy, galilean invariance, and stability.Physical Review E, 61(6):6546, 2000

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Observation bed181da-b2bc-4a27-85e9-f4e2f15fce52 · outbound

This paper cites Grid refinement for lattice-BGK models.Journal of Compu- tational physics, 147(1):219–228, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Grid refinement for lattice-BGK models.Journal of Compu- tational physics, 147(1):219–228, 1998

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Observation ac51e496-bc8e-47d5-9626-a1159c425dd1 · outbound

This paper cites A multi-block lattice Boltzmann method for viscous fluid flows.International journal for numerical methods in fluids, 39(2):99–120, 2002.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids A multi-block lattice Boltzmann method for viscous fluid flows.International journal for numerical methods in fluids, 39(2):99–120, 2002

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Observation 432035f3-fe2c-4ae2-8820-936bffe6d970 · outbound

This paper cites A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes.International journal for numerical methods in fluids, 51(4):439–468, 2006.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids A generic, mass conservative local grid refinement technique for lattice-Boltzmann schemes.International journal for numerical methods in fluids, 51(4):439–468, 2006

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Observation 8b3ca84a-bea0-4bf1-bae0-8e3236553814 · outbound

This paper cites Rectangular lattice-Boltzmann schemes with BGK-collision operator.Journal of Scientific Computing, 56(2):230–242, 2013.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Rectangular lattice-Boltzmann schemes with BGK-collision operator.Journal of Scientific Computing, 56(2):230–242, 2013

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Observation 83a8af00-ae01-4745-b515-f762ca55638f · outbound

This paper cites Lattice Boltz- mann equation on a two-dimensional rectangular grid.Journal of Computational Physics, 172(2):704–717, 2001.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltz- mann equation on a two-dimensional rectangular grid.Journal of Computational Physics, 172(2):704–717, 2001

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Observation d2af4fca-79d4-4407-a2c3-d6e6f490d34f · outbound

This paper cites MRT rectangular lattice Boltzmann method.International Journal of Modern Physics C, 23(05):1250040, 2012.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids MRT rectangular lattice Boltzmann method.International Journal of Modern Physics C, 23(05):1250040, 2012

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Observation 5ca5bd74-6ecf-4716-90ce-8e28b7422171 · outbound

This paper cites Designingcorrectfluidhydrodynam- ics on a rectangular grid using MRT lattice Boltzmann approach.Computers & Mathematics with Applications, 72(2):288–310, 2016.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Designingcorrectfluidhydrodynam- ics on a rectangular grid using MRT lattice Boltzmann approach.Computers & Mathematics with Applications, 72(2):288–310, 2016

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Observation 27aa6e91-08d5-441d-9ce7-09fe0e6a3ac7 · outbound

This paper cites A hydrodynamically-consistent MRT lattice Boltzmann model on a 2d rectangular grid.Journal of Computational Physics, 326:893–912, 2016.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids A hydrodynamically-consistent MRT lattice Boltzmann model on a 2d rectangular grid.Journal of Computational Physics, 326:893–912, 2016

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Observation d0b84cc0-df5b-4dd2-a81f-1e320427f5cc · outbound

This paper cites Central moment lattice Boltzmann method on a rect- angular lattice.Physics of Fluids, 33(5):057110, 2021.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Central moment lattice Boltzmann method on a rect- angular lattice.Physics of Fluids, 33(5):057110, 2021

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Observation f248f582-d3f6-4273-aead-8e16f872fa93 · outbound

This paper cites Three-dimensional central moment lattice Boltzmann method on a cuboid lattice for anisotropic and inhomogeneous flows.Fluids, 6(9):326, 2021.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Three-dimensional central moment lattice Boltzmann method on a cuboid lattice for anisotropic and inhomogeneous flows.Fluids, 6(9):326, 2021

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Observation 82b4638d-2718-4331-b037-f924430ace07 · outbound

This paper cites Preconditioned central moment lattice Boltzmann method on a rectangular lattice grid for accelerated computations of inhomogeneous flows.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Preconditioned central moment lattice Boltzmann method on a rectangular lattice grid for accelerated computations of inhomogeneous flows

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Observation 35511122-8899-4809-bcc7-bce78b35ea29 · outbound

This paper cites On the finite difference-based lattice Boltzmann method in curvi- linear coordinates.Journal of Computational Physics, 143(2):426–448, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids On the finite difference-based lattice Boltzmann method in curvi- linear coordinates.Journal of Computational Physics, 143(2):426–448, 1998

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Observation 70b3406d-2934-4f4c-b79c-6bd4bbad7e6a · outbound

This paper cites Explicit finite-difference lattice Boltzmann method for curvi- linear coordinates.Physical review E, 67(6):066709, 2003.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Explicit finite-difference lattice Boltzmann method for curvi- linear coordinates.Physical review E, 67(6):066709, 2003

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Observation 146166d2-6bed-4ec1-8ce7-6fcc97a30128 · outbound

This paper cites MRT lattice Boltzmann method for 2D flows in curvilinear coordinates.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids MRT lattice Boltzmann method for 2D flows in curvilinear coordinates

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Observation 93f110cc-481c-4734-957a-5d53a9797d2d · outbound

This paper cites Implementation of a high-order compact finite- difference lattice Boltzmann method in generalized curvilinear coordinates.Journal of Compu- tational Physics, 267:28–49, 2014.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Implementation of a high-order compact finite- difference lattice Boltzmann method in generalized curvilinear coordinates.Journal of Compu- tational Physics, 267:28–49, 2014

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Observation 8d3590d8-c47f-448b-9013-4e4cfdd370cb · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice kinetic scheme for generalized coordinates and curved spaces.International Journal of Modern Physics C, 25(12):1441001, 2014

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Observation ddd2fb26-3aae-4382-8ba5-e5d0e9b6b9ef · outbound

This paper cites Towards a generalised lattice Boltzmann method for aerodynamic simulations.Journal of Computational Science, 45:101182, 2020.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Towards a generalised lattice Boltzmann method for aerodynamic simulations.Journal of Computational Science, 45:101182, 2020

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Observation 74131da3-9bc5-4f5c-ab78-ee1725cd50fa · outbound

This paper cites Volumetric lattice Boltzmann models in general curvilinear coordinates: theo- retical formulation.Frontiers in Applied Mathematics and Statistics, 7:691582, 2021.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Volumetric lattice Boltzmann models in general curvilinear coordinates: theo- retical formulation.Frontiers in Applied Mathematics and Statistics, 7:691582, 2021

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Observation f127bb69-0ec0-45d2-b2b5-366c734f4fa9 · outbound

This paper cites Lattice Boltzmann model in general curvilinear coordinates applied to exactly solvable 2d flow problems.Frontiers in Applied Mathematics and Statistics, 8:1066522, 2023.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltzmann model in general curvilinear coordinates applied to exactly solvable 2d flow problems.Frontiers in Applied Mathematics and Statistics, 8:1066522, 2023

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Observation a8e05648-3a7e-4640-9e76-752bf9b80f45 · outbound

This paper cites Lattice Boltzmann method for the convection–diffusion equation in curvilinear coordinate systems.Journal of Computational Physics, 257:884–900, 2014.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltzmann method for the convection–diffusion equation in curvilinear coordinate systems.Journal of Computational Physics, 257:884–900, 2014

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Observation d48cc5da-6bff-4181-82d2-031a83c2ca28 · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Technology Press, 1946

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Observation 8107e326-a07b-4b4e-9ca3-e035ae1a8bad · outbound

This paper cites Courier Corporation, 2012.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Courier Corporation, 2012

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Observation 6aeec272-9729-44d8-a39f-e5f6d4282a12 · outbound

This paper cites Prentice-Hall, Inc., 1969.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Prentice-Hall, Inc., 1969

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Observation 3476599b-4cca-4861-ab99-43f9a58bc269 · outbound

This paper cites IoP publishing, 2017.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids IoP publishing, 2017

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Observation 6b945708-540c-4da0-9df5-626ef1ed89b1 · outbound

This paper cites Boundary layer formulations in orthogonal curvilinear coordinates for flow over wind-generated surface waves.Journal of Fluid Mechanics, 888:A11, 2020.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Boundary layer formulations in orthogonal curvilinear coordinates for flow over wind-generated surface waves.Journal of Fluid Mechanics, 888:A11, 2020

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Observation 0279c07b-119b-424b-be99-858f963370e3 · outbound

This paper cites Onone-dimensionalstretchingfunctionsforfinite-differencecalculations.Jour- nal of Computational Physics, 50(2):215–234, 1983.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Onone-dimensionalstretchingfunctionsforfinite-differencecalculations.Jour- nal of Computational Physics, 50(2):215–234, 1983

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Observation 83ba4acc-f5bf-4036-b366-872f94fb2ea5 · outbound

This paper cites CRC press, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids CRC press, 1998

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Observation e1d7bcba-2f47-40a5-b9e1-d63d858941fd · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Springer, 1999

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Observation cd7a018f-7cd1-4a9c-8f5d-35cd3d47fc31 · outbound

This paper cites CRC press, 2020.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids CRC press, 2020

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Observation 99d528eb-494c-481f-ac91-2b6ac04889e2 · outbound

This paper cites Conservation equations of gasdynamics in curvilinear coordinate systems.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Conservation equations of gasdynamics in curvilinear coordinate systems

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Observation e58bac02-131a-4796-87d8-f00c53f680fa · outbound

This paper cites Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices.Journal of Computational Physics, 259:270–283, 2014.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice Boltzmann algorithms without cubic defects in Galilean invariance on standard lattices.Journal of Computational Physics, 259:270–283, 2014

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Observation a61c41cc-db39-4750-aedf-4ea269ce09c9 · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Unresolved cited work

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Observation 23cc4ac7-2f65-4a11-9929-0989e1164135 · outbound

This paper cites Lattice kinetic schemes for magnetohydrodynamics.Journal of Computational Physics, 179(1):95–126, 2002.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Lattice kinetic schemes for magnetohydrodynamics.Journal of Computational Physics, 179(1):95–126, 2002

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Observation f60d211f-e292-4bfa-9566-9ee0ac36322b · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Mallet- Bachelier, 1859

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Observation 9e694ac3-e9cb-4745-8176-d4a47f3d09b3 · outbound

This paper cites Conservation equations of a viscous, heat-conducting fluid in curvilinear orthogonal coordinates.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Conservation equations of a viscous, heat-conducting fluid in curvilinear orthogonal coordinates

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source=pdf_text observed=2026-08-01T23:40:45.812013Z digest=sha256:494825c03a9bd3f9af6fd804229a7846c890a0f9fb4195e8aed2dcee1b814df2

Observation 27307768-4b02-4d3f-81fc-90b911b74612 · outbound

This paper cites An implicit finite-difference method for solving the Navier-Stokes equation using orthogonal curvilinear coordinates.Journal of Computational Physics, 23(4):343–363, 1977.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids An implicit finite-difference method for solving the Navier-Stokes equation using orthogonal curvilinear coordinates.Journal of Computational Physics, 23(4):343–363, 1977

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Observation ae88a3a1-0edb-4638-bbdc-d31ebda67354 · outbound

This paper cites Prediction of heat and fluid flow in complex ge- ometries using general orthogonal coordinates.Numerical Heat Transfer, Part A: Applications, 9(2):125–142, 1986.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Prediction of heat and fluid flow in complex ge- ometries using general orthogonal coordinates.Numerical Heat Transfer, Part A: Applications, 9(2):125–142, 1986

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Observation 32bd6b93-3db3-4e9f-934b-60086ac8bb54 · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Finite-difference method for incompressible Navier–Stokes equations in arbi- trary orthogonal curvilinear coordinates.Journal of Computational Physics, 217(2):759–781, 2006

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Observation c547daf2-a9d3-423a-9f70-990111ad24d6 · outbound

This paper cites A novel thermal model for the lattice Boltzmann method in incompressible limit.Journal of computational physics, 146(1):282–300, 1998.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids A novel thermal model for the lattice Boltzmann method in incompressible limit.Journal of computational physics, 146(1):282–300, 1998

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Observation f11645c3-8e33-498f-898e-b8dab07e1936 · outbound

This paper cites On the partial difference equations of math- ematical physics.IBM Journal of Research and Development, 11(2):215–234, 1967.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids On the partial difference equations of math- ematical physics.IBM Journal of Research and Development, 11(2):215–234, 1967

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Observation 69e721d0-817e-4f9e-b058-3ff04dadc577 · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Cambridge university press, 1990

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Observation b86792c5-b1c9-4ff5-b5cd-2796f4ef0f55 · outbound

This paper cites Computational meshes for boundary layer problems.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Computational meshes for boundary layer problems

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Observation 86f89835-1bee-4372-a4af-0d4cfd8514c0 · outbound

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Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Unresolved cited work

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Observation b8cb9f79-6c8a-48eb-8dbb-c5357522192c · outbound

This paper cites The calculation of turbulent recirculating flows in general orthogonal coordinates.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids The calculation of turbulent recirculating flows in general orthogonal coordinates

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source=pdf_text observed=2026-08-01T23:40:46.500510Z digest=sha256:ef80df6a79c90020bd4dca3502fb73933f0ef086ada91017015b414270c84067

Observation 64080284-6015-4ed3-b3c0-6e9eb4bcce34 · outbound

This paper cites On the numerical generation of boundary-fitted or- thogonal curvilinear coordinate systems.Journal of Computational Physics, 34(1):124–135, 1980.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids On the numerical generation of boundary-fitted or- thogonal curvilinear coordinate systems.Journal of Computational Physics, 34(1):124–135, 1980

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Observation 368db957-0160-4770-b1c7-0c2c6253665e · outbound

This paper cites Orthogonal mapping.Journal of Computational Physics, 50(1):71–100, 1983.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Orthogonal mapping.Journal of Computational Physics, 50(1):71–100, 1983

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Observation 23fd8b43-a178-4ca1-8032-c614b6241170 · outbound

This paper cites Orthogonal mapping in two dimensions.Journal of Computational Physics, 98(2):254–268, 1992.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Orthogonal mapping in two dimensions.Journal of Computational Physics, 98(2):254–268, 1992

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Observation ef69e1fe-bae2-486b-bfc2-e705fb9e39fc · outbound

This paper cites 2d orthogonal grid generation with boundary point distribution control.Journal of Computational Physics, 125(2):440–453, 1996.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids 2d orthogonal grid generation with boundary point distribution control.Journal of Computational Physics, 125(2):440–453, 1996

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Observation 4a2240b2-bcf8-47e2-a7d9-47fb507cc028 · outbound

This paper cites Nearly orthogonal two-dimensional grid generation with aspect ratio control.Journal of Computational Physics, 171(2):805–821, 2001.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Nearly orthogonal two-dimensional grid generation with aspect ratio control.Journal of Computational Physics, 171(2):805–821, 2001

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Observation df54d4f3-d9ab-4fb4-abae-cf8ae647ee8c · outbound

This paper cites Numerical study of the properties of the central moment lattice Boltzmann method.International Journal for Numerical Methods in Fluids, 82(2):59–90, 2016.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Numerical study of the properties of the central moment lattice Boltzmann method.International Journal for Numerical Methods in Fluids, 82(2):59–90, 2016

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Observation 1eb02968-0487-4e4f-a0e6-829394b4fff5 · outbound

This paper cites High-Re solutions for incompressible flow using the navier-stokes equations and a multigrid method.Journal of computational physics, 48(3):387– 411, 1982.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids High-Re solutions for incompressible flow using the navier-stokes equations and a multigrid method.Journal of computational physics, 48(3):387– 411, 1982

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Observation 4cff45b9-2228-4d97-90f8-5b8fc7a7f761 · outbound

This paper cites Numerical solutions of 2-d steady in- compressible driven cavity flow at high reynolds numbers.International journal for Numerical Methods in fluids, 48(7):747–774, 2005.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Numerical solutions of 2-d steady in- compressible driven cavity flow at high reynolds numbers.International journal for Numerical Methods in fluids, 48(7):747–774, 2005

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Observation 3ee88feb-4d3a-4edb-b880-7cd1c6401d6e · outbound

This paper cites Duct flow in magnetohydrodynamics.Zeitschrift für angewandte Mathematik und Physik ZAMP, 12(2):100–114, 1961.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Duct flow in magnetohydrodynamics.Zeitschrift für angewandte Mathematik und Physik ZAMP, 12(2):100–114, 1961

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Observation bbb5a8ce-ce99-4d95-893b-c1ef9409084d · outbound

This paper cites Springer Science & Business Media, 2013.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Springer Science & Business Media, 2013

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Observation 6f6c1f2b-af70-4c17-825c-23d52335117c · outbound

This paper cites On the use of composite grid schemes in computational aerodynamics.Computer Methods in Applied Mechanics and Engineering, 64(1-3):301–320, 1987.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids On the use of composite grid schemes in computational aerodynamics.Computer Methods in Applied Mechanics and Engineering, 64(1-3):301–320, 1987

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Observation 51f1cbd7-e455-4581-bbd6-464a8bd0faa5 · outbound

This paper cites Composite overlapping meshes for the solution of partial differential equations.Journal of Computational Physics, 90(1):1–64, 1990.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Composite overlapping meshes for the solution of partial differential equations.Journal of Computational Physics, 90(1):1–64, 1990

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Observation db88e661-41c3-4293-ae50-3f8eec4b23dd · outbound

This paper cites An algorithm for assembling overlapping grid systems.SIAM Journal on Scientific Computing, 20(6):1995–2022, 1999.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids An algorithm for assembling overlapping grid systems.SIAM Journal on Scientific Computing, 20(6):1995–2022, 1999

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Observation af22187a-f339-43b8-bd61-470fa56f3aa8 · outbound

This paper cites Composite overset structured grids.Handbook of Grid Generation, pages 1–20, 1999.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Composite overset structured grids.Handbook of Grid Generation, pages 1–20, 1999

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Observation 076d812e-83ba-41ba-aa1a-b9678a52d5bd · outbound

This paper cites Chávez-Modena, E.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids Chávez-Modena, E

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Observation 7d5671f3-d319-4b64-9deb-2dce6a749c28 · outbound

This paper cites The lattice Boltzmann method.Springer International Publishing, 10:978–3, 2017.

Lattice Boltzmann Methods for Navier-Stokes Equations in General Orthogonal Coordinates for Efficient Flow Simulations using Nonuniform Clustered Grids The lattice Boltzmann method.Springer International Publishing, 10:978–3, 2017

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