High-order compact scheme with multigrid local mesh refinement procedure for convection-diffusion problems.
From MaRDI portal
Publication:1867610
DOI10.1016/S0045-7825(02)00398-5zbMath1068.76066MaRDI QIDQ1867610
Jennifer J. Zhao, Jun Zhang, Hai-Wei Sun
Publication date: 2 April 2003
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Finite difference methods applied to problems in fluid mechanics (76M20) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Diffusion and convection (76R99)
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Uses Software
Cites Work
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- Local adaptive mesh refinement for shock hydrodynamics
- A dynamically adaptive multigrid algorithm for the incompressible Navier- Stokes equations --- Validation and model problems
- A conservative adaptive projection method for the variable density incompressible Navier-Stokes equations
- A compact multigrid solver for convection-diffusion equations
- Preconditioned iterative methods and finite difference schemes for convection-diffusion
- A multiblock/multilevel mesh refinement procedure for CFD computations
- A single cell high order scheme for the convection-diffusion equation with variable coefficients
- Local Mesh Refinement Multilevel Techniques
- High-order difference schemes for two-dimensional elliptic equations
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- An explicit fourth-order compact finite difference scheme for three-dimensional convection-diffusion equation
- Accuracy, robustness and efficiency comparison in iterative computation of convection diffusion equation with boundary layers
- A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations
- High‐order compact scheme for the steady stream‐function vorticity equations
- High accuracy multigrid solution of the 3D convection-diffusion equation
- High accuracy iterative solution of convection diffusion equation with boundary layers on nonuniform grids