Local adaptive mesh refinement for shock hydrodynamics
Journal of Computational Physics
Grid adaption based on modified anisotropic diffusion equations formulated in the parametric domain
Journal of Computational Physics
An Adaptive Mesh Projection Method for Viscous Incompressible Flow
SIAM Journal on Scientific Computing
Solution-based grid adaptation through segmented multigrid domain decomposition
Journal of Computational Physics
Adaptive mesh refinement and multilevel iteration for flow in porous media
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
Adaptive Galerkin finite element methods for partial differential equations
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
SIAM Journal on Scientific Computing
Adaptive Error Control for Steady State Solutions of Inviscid Flow
SIAM Journal on Scientific Computing
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Principles of Computational Fluid Dynamics
Principles of Computational Fluid Dynamics
Accurate and stable grid interfaces for finite volume methods
Applied Numerical Mathematics
Space---Time Adaptive Solution of First Order PDES
Journal of Scientific Computing
Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics
Journal of Computational Physics
Hi-index | 31.45 |
Navier-Stokes' equations are discretized in space by a finite volume method. Error equations are derived which are approximately satisfied by the errors in the solution. The dependence of the solution errors on the discretization errors is analyzed in certain flow cases. The grid is adapted based on the estimated discretization errors. The refinement and coarsening of the grid are anisotropic in the sense that it is different in different directions in the computational domain. The adaptation algorithm is applied to laminar, viscous flow over a flat plate, in a channel with a bump, and around a cylinder and an airfoil.