Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces

DOI10.1016/j.jcp.2013.12.020zbMath1349.65570OpenAlexW2093194917MaRDI QIDQ348752

Scott Sides, Ben Jamroz, Alexander Pletzer, Robert K. Crockett

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2013.12.020

zbMATH Keywords

finite volumelinear interpolationLaplacePoissoncell centeringfine-coarse grid interfacerefined structured gridssecond order accuracy

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (4)

Conservative interpolation of edge and face data on \(n\) dimensional structured grids using differential forms ⋮ An explicit gas kinetic scheme algorithm on non-uniform Cartesian meshes for GPGPU architectures ⋮ A cell-centred finite volume method for the Poisson problem on non-graded quadtrees with second order accurate gradients ⋮ Delayed over-relaxation for iterative methods

Uses Software

• PARAMESH
• PETSc
• Chombo
• FOSPACK

Cites Work

• FOSPACK
• Multigrid FDTD with Chombo
• Adaptive mesh refinement for hyperbolic partial differential equations
• Parallel clustering algorithms for structured AMR
• An efficient solver for the equations of resistive MHD with spatially-varying resistivity
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Quadratic convergence for cell-centered grids
• Local adaptive mesh refinement for shock hydrodynamics
• A Cartesian grid embedded boundary method for Poisson's equation on irregular domains
• PARAMESH: A parallel adaptive mesh refinement community toolkit
• A projection method for locally refined grids
• A numerical method for the Study of the circulation of the world ocean
• Computational Methods for Fluid Dynamics
• Finite volume approximation of elliptic problems and convergence of an approximate gradient

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