Superconvergence of Characteristics Marker and Cell Scheme for the Navier--Stokes Equations on Nonuniform Grids
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Publication:4641641
DOI10.1137/18M1175069zbMath1412.65082OpenAlexW2805032043MaRDI QIDQ4641641
Publication date: 18 May 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/18m1175069
Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Numerical aspects of the method of characteristics for initial value and initial-boundary value problems involving PDEs (65M25) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (11)
A MAC scheme for coupled Stokes-Darcy equations on non-uniform grids ⋮ Stability and Error Analysis of a Second-Order Consistent Splitting Scheme for the Navier–Stokes Equations ⋮ Supercloseness analysis of a stabilizer free weak Galerkin finite element method for time dependent convection diffusion reaction equation ⋮ Second order convergence of a modified MAC scheme for Stokes interface problems ⋮ An FFT-based MAC scheme for Stokes equations with periodic boundary conditions and its application to elasticity problems ⋮ Error Analysis of the SAV-MAC Scheme for the Navier--Stokes Equations ⋮ Stability and convergence of characteristic MAC scheme and post-processing for the Oseen equations on non-uniform grids ⋮ Superconvergence of a fully conservative finite difference method on non-uniform staggered grids for simulating wormhole propagation with the Darcy–Brinkman–Forchheimer framework ⋮ Error analysis of a fully discrete consistent splitting MAC scheme for time dependent Stokes equations ⋮ New SAV-pressure correction methods for the Navier-Stokes equations: stability and error analysis ⋮ Superconvergence of MAC scheme for a coupled free flow-porous media system with heat transport on non-uniform grids
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