Extending geometric conservation law to cell-centered finite difference methods on stationary grids

DOI10.1016/j.jcp.2014.12.040zbMath1352.65246OpenAlexW2031313138MaRDI QIDQ729012

Zhengyin Ye, Lingxia Zhang, Fei Liao

Publication date: 20 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.2014.12.040

zbMATH Keywords

geometric conservation lawcell-centered finite difference methodcell-centered symmetrical conservative metric method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

Related Items (14)

Convergence acceleration for subiterative DDADI/ D3ADI using multiblock implicit boundary condition ⋮ Extending geometric conservation law to cell-centered finite difference methods on moving and deforming grids ⋮ Accuracy preserving limiter for the high-order finite volume method on unstructured grids ⋮ A numerical strategy for freestream preservation of the high order weighted essentially non-oscillatory schemes on stationary curvilinear grids ⋮ Preconditioned boundary-implicit subiterative DDADI method for accuracy and efficiency enhancement in low-Mach number flows ⋮ 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 ⋮ Effect of anisotropic resistance characteristic on boundary-layer transitional flow ⋮ A third order gas-kinetic scheme for unstructured grid ⋮ Compact schemes for multiscale flows with cell-centered finite difference method ⋮ High-order adapter schemes for cell-centered finite difference method ⋮ A high-order finite volume method on unstructured grids using RBF reconstruction ⋮ An improved consistent, conservative, non-oscillatory and high order finite difference scheme for variable density low Mach number turbulent flow simulation

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
• Development of nonlinear weighted compact schemes with increasingly higher order accuracy
• Effects of difference scheme type in high-order weighted compact nonlinear schemes
• Compact finite difference schemes with spectral-like resolution
• On the use of higher-order finite-difference schemes on curvilinear and deforming meshes
• Numerical treatment of polar coordinate singularities
• 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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