Extending geometric conservation law to cell-centered finite difference methods on moving and deforming grids

DOI10.1016/J.JCP.2015.09.032zbMath1349.65313OpenAlexW2201115852MaRDI QIDQ2374860

Fei Liao, Zhengyin Ye

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.2015.09.032

zbMATH Keywords

geometric conservation lawfreestream preservationcell-centered finite difference methodcell-centered symmetrical conservative metric methodmoving and deforming grid

Mathematics Subject Classification ID

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

Related Items (4)

Reformulated dissipation for the free-stream preserving of the conservative finite difference schemes on curvilinear grids ⋮ Optimized low-dissipation and low-dispersion schemes for compressible flows ⋮ A sufficient condition for free-stream preserving WENO schemes on curvilinear grids of complex geometries ⋮ Compact schemes for multiscale flows with cell-centered finite difference method

Cites Work

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• Geometric interpretations and spatial symmetry property of metrics in the conservative form for high-order finite-difference schemes on moving and deforming grids
• On high order finite-difference metric discretizations satisfying GCL on moving and deforming grids
• Freestream and vortex preservation properties of high-order WENO and WCNS on curvilinear grids
• Geometric conservation law and applications to high-order finite difference schemes with stationary grids
• Extending geometric conservation law to cell-centered finite difference methods on stationary grids
• Compact finite difference schemes with spectral-like resolution
• On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
• Robust explicit formulation of weighted compact nonlinear scheme
• Further studies on geometric conservation law and applications to high-order finite difference schemes with stationary grids
• Geometric Conservation Law and Its Application to Flow Computations on Moving Grids

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