A numerical strategy for freestream preservation of the high order weighted essentially non-oscillatory schemes on stationary curvilinear grids

DOI10.1007/s10915-017-0387-xzbMath1376.65117OpenAlexW2587835268MaRDI QIDQ2412730

Yu Hu, Yujie Zhu, Zhen-sheng Sun, Shi-Ying Zhang, Yu-xin Ren

Publication date: 27 October 2017

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-017-0387-x

zbMATH Keywords

numerical examplesfinite difference schemeEuler equationNavier-Stokes equationweighted essentially non-oscillatory schemesWENO schemesgeometric conservation lawfreestream preservationnonlinear schemes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (6)

Simple high order well-balanced finite difference WENO schemes for the Euler equations under gravitational fields ⋮ High order well-balanced finite difference WENO interpolation-based schemes for shallow water equations ⋮ Reformulated dissipation for the free-stream preserving of the conservative finite difference schemes on curvilinear grids ⋮ Compact schemes for multiscale flows with cell-centered finite difference method ⋮ Free-stream preserving linear-upwind and WENO schemes on curvilinear grids ⋮ High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

Cites Work

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