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Source: paper_references, paper_reference_links, observed 2026-08-04T13:37:21.523790Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 72 of 72 outbound references and 0 inbound Pith citation observations for arXiv:2509.26284.
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Source: paper_references, paper_reference_links, observed 2026-08-04T13:37:21.523790Z
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72 of 72 outbound references displayed
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Observation 97f6ceb6-9845-4451-bd92-0df7ccb7db12 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A high-order nonconservative ap- proach for hyperbolic equations in fluid dynamics
Reference 1
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Observation 862b6deb-1f9c-4b03-93dc-0f7cf3748bc6 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A comment on the computation of non-conservative products
Reference 2
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High order methods for CFD
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A five-equation model for the simulation of interfaces between compressible fluids
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Observation e3ba172f-9f62-47cf-b76d-fa2b22f3f50b · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms An efficient covariant frame for the spherical shallow water equations: well balanced DG approximation and application to tsunami and storm surge
Reference 5
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Observation f6fcadc9-b01f-45a6-84be-f88c1e66fe42 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High-order adaptive discontinuous finite elements for the shallow water equations with sub-grid irregular bathymetry
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A two-phase mixture theory for the deflagration- to-detonation transition (DDT) in reactive granular materials
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Observation ebe3fab0-76e3-4015-bda6-85f8c5d5a943 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A High-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
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Observation 432c3316-d7d0-4838-9116-579a57f80937 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Multidimensional fully adaptive lattice Boltzmann methods with error control based on multiresolution analysis
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Observation f0a11d74-2789-41d3-bbb1-98352f733df7 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Vanishing viscosity solutions of nonlinear hyper- bolic systems
Reference 10
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Observation a34cb46a-828b-4a4d-a089-5c732efdb6be · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Unresolved cited work
Reference 11
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Observation 81aea716-9524-4f7a-b568-6165935c6bbb · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms An entropy satisfying scheme for two-layer shal- low water equations with uncoupled treatment
Reference 12
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Observation c2a924fc-2a86-4534-9770-00154d697755 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows
Reference 13
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Observation 1ed281b9-ddea-477a-9b8a-2df98f32373e · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High order finite volume schemes based on reconstruction of states for solving hyperbolic systems with nonconservative products. Applications to shallow-water systems
Reference 14
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Observation 5a283822-f4ad-4c3b-8fe6-3f5cb30e0652 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Why many theories of shock waves are necessary: Convergence error in formally path-consistent schemes
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Observation 8959f6ba-5d19-4d07-a49f-efa3a4327e86 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High order extensions of Roe schemes for two-dimensional nonconservative hyperbolic systems
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Observation 6fcbd032-c904-47ca-aaf3-7be06b02ad19 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A new comment on the computation of non-conservative products using Roe-type path conservative schemes
Reference 17
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Observation 518b434e-fc5c-4370-afe8-355fd9158bd4 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A positive and entropy-satisfying finite volume scheme for the Baer-Nunziato model
Reference 18
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Approximate solutions of the Baer-Nunziato model
Reference 19
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Definition and weak stability of nonconservative products
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Simplified Second-Order Godunov-Type Methods
Reference 21
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms HLLC-type and path-conservative schemes for a single-velocity six-equation two-phase flow model: A comparative study
Reference 22
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A new efficient formulation of the HLLEM Rie- mann solver for general conservative and non-conservative hyperbolic systems
Reference 23
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High-order unstructured Lagrangian one-step WENO finite volume schemes for non-conservative hyperbolic systems: applica- tions to compressible multi-phase flows
Reference 24
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A simple extension of the Osher Riemann solver to non-conservative hyperbolic systems
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows
Reference 26
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms FORCE schemes on unstructured meshes II: Non-conservative hyperbolic systems
Reference 27
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Upwind methods for the Baer-Nunziato equations and higher- order reconstruction using artificial viscosity
Reference 28
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Observation 53b58555-5475-4a87-a8a5-c5d338aaae25 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite vol- ume corrections
Reference 29
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Observation eba2a22d-3943-4b9e-a86c-624206154e5c · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Numerical modeling of two-phase flows using the two-fluid two-pressure approach
Reference 30
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Observation 9ef4a0b3-0df4-4f1d-9875-551d9c125869 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A scalable well-balanced numerical scheme for the modeling of two-phase shallow granular landslide consolidation
Reference 31
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Observation fcb0bf9d-eae3-4ede-990b-c324c467b00a · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms An arbitrary high order well-balanced ADER-DG numerical scheme for the multilayer shallow-water model with variable density
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Observation c389b9eb-7cfd-4a60-ab18-fc5503897229 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Numerical methods and relaxation techniques for diffuse interface models in high-velocity two-phase flow simulations
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Reference 34
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Observation a266c09a-bb91-469b-8699-b43003326a15 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Multiresolution Algorithms for the Numerical Solution of Hyperbolic Conservation Laws
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Two approaches to compute unsteady compress- ible two-phase flow models with stiff relaxation terms
Reference 36
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Why nonconservative schemes converge to wrong solutions: error analysis
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Observation 2901b765-f9af-46b0-865d-855027833e9c · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Two-phase modeling of deflagration-to-detonation transition in granular materials: Reduced equations
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Observation 540de362-8211-47b4-b2a4-7d840a7c5e0c · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms High-order wave propagation algorithms for hyperbolic systems
Reference 40
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms The Noble-Abel Stiffened-Gas equation of state
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Unresolved cited work
Reference 42
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms HLLC-type Riemann solver with approximated two-phase con- tact for the computation of the Baer-Nunziato two-fluid model
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Observation c57af282-1c9a-464f-864b-c986089573b2 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A five equation reduced model for compressible two phase flow problems
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A path-conservative finite volume scheme for compressible multi-phase flows with surface tension
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Observation 3a558061-c9cb-47ec-ac92-fc01f7b397da · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Modelling and simulations of two-phase flows including geometric variables
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A comparative Fourier analysis of discontinuous Galerkin schemes for advection-diffusion with respect to BR1, BR2, and local discontinuous Galerkin diffusion discretization
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Observation 86f27440-a2ca-473f-8c1f-dc534274c3bd · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Numerical methods for nonconservative hyperbolic systems: a theo- retical framework
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Wave structure similarity of the HLLC and Roe Riemann solvers: Application to low Mach number preconditioning
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Arbitrary-rate relaxation techniques for the numerical modeling of compressible two-phase flows with heat and mass transfer
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A mixture-energy-consistent six-equation two- phase numerical model for fluids with interfaces, cavitation and evaporation waves
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A relaxation-projection method for compressible flows. Part II: Artificial heat exchanges for multiphase shocks
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A pressure-based method for weakly compressible two- phase flows under a Baer-Nunziato type model with generic equations of state and pressure and velocity disequilibrium
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Discontinuous Galerkin finite element methods for hyperbolic nonconservative partial differential equa- tions
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms An accurate and efficient semi-implicit method for section- averaged free-surface flow modelling
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms The calculation of the interaction of non-stationary shock waves and obstacles
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Simple and efficient relaxation meth- ods for interfaces separating compressible fluids, cavitating flows and shocks in multiphase mixtures
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Shock Jump Relations for Multiphase Mixtures with Stiff Me- chanical Relaxation
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms The Riemann problem and a high-resolution Godunov method for a model of compressible two-phase flow
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Mixture-conservative temperature-based Baer-Nunziato solver for efficient full-disequilibrium simulations of real fluids
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms An explicit primitive conservative solver for the Euler equations with arbitrary equation of state
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms HLLC-type Riemann solver for the Baer-Nunziato equations of compressible two-phase flow
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A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms A limiter-based well-balanced discontin- uous Galerkin method for shallow-water flows with wetting and drying: Trian- gular grids
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Observation f32487e1-7d0f-4fb2-b7e5-99387b466d92 · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Numerical Treatment of the Nonconservative Product in a Multiscale Fluid Model for Plasmas in Thermal Nonequilibrium: Application to Solar Physics
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Observation 48a34c10-9bd0-4677-a297-6ff35e87cecc · outbound
A robust computational framework for the mixture-energy-consistent six-equation two-phase model with instantaneous mechanical relaxation terms Modeling phase transition for compress- ible two-phase flows applied to metastable liquids
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