A new LPS-ROM for incompressible Navier-Stokes is proposed and analyzed with error estimates, tested numerically on 2D unsteady flow past a circular obstacle.
Title resolution pending
4 Pith papers cite this work. Polarity classification is still indexing.
4
Pith papers citing it
verdicts
UNVERDICTED 4representative citing papers
A fully discrete DG-IMEX pressure-correction scheme for the PNP-NS equations is proposed, with optimal L2 and energy-norm error estimates plus exact discrete mass conservation for both ion species.
Introduces an a posteriori stabilization strategy for POD-ROMs in strongly advection-dominated advection-diffusion-reaction problems, applied to both snapshot generation and new simulations.
A completely discrete DG finite element scheme with first-order time discretization is proposed for the incompressible chemotaxis-Navier-Stokes equations, yielding optimal L2 and H1 error bounds for density, concentration, and velocity plus L2 for pressure.
citing papers explorer
-
Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows
A new LPS-ROM for incompressible Navier-Stokes is proposed and analyzed with error estimates, tested numerically on 2D unsteady flow past a circular obstacle.
-
Discontinuous Galerkin IMEX Pressure Correction Scheme for the Poisson-Nernst-Planck-Navier-Stokes Equations
A fully discrete DG-IMEX pressure-correction scheme for the PNP-NS equations is proposed, with optimal L2 and energy-norm error estimates plus exact discrete mass conservation for both ion species.
-
A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations
Introduces an a posteriori stabilization strategy for POD-ROMs in strongly advection-dominated advection-diffusion-reaction problems, applied to both snapshot generation and new simulations.
-
On a Completely Discrete Discontinuous Galerkin Method for Incompressible Chemotaxis-Navier-Stokes Equations
A completely discrete DG finite element scheme with first-order time discretization is proposed for the incompressible chemotaxis-Navier-Stokes equations, yielding optimal L2 and H1 error bounds for density, concentration, and velocity plus L2 for pressure.