Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Analysis of Preconditioners for Hyperbolic Partial Differential Equations
SIAM Journal on Numerical Analysis
Adaptive mesh refinement and multilevel iteration for flow in porous media
Journal of Computational Physics
Journal of Computational Physics
Numerical solution of plasma fluid equations using locally refined grids
Journal of Computational Physics
A solution-adaptive upwind scheme for ideal magnetohydrodynamics
Journal of Computational Physics
A cell-centered adaptive projection method for the incompressible Euler equations
Journal of Computational Physics
Adaptive Error Control for Steady State Solutions of Inviscid Flow
SIAM Journal on Scientific Computing
Anisotropic grid adaptation for Navier--Stokes' equations
Journal of Computational Physics
Space---Time Adaptive Solution of First Order PDES
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
A Cartesian Embedded Boundary Method for the Compressible Navier-Stokes Equations
Journal of Scientific Computing
A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
Journal of Computational Physics
Journal of Scientific Computing
Hi-index | 0.02 |
A convection-diffusion equation is discretized by a finite volume method in two space dimensions. The grid is partitioned into blocks with jumps in the grid size at the block interfaces. Interpolation in the cells adjacent to the interfaces is necessary to be able to apply the difference stencils. Second order accuracy is achieved and the stability of the discretizations is investigated. The interface treatment is tested in the solution of the compressible Navier-Stokes equations. The conclusions from the scalar equation are valid also for these equations.