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Journal of Scientific Computing

Erschienen in:

01.11.2015

A Family of Energy Stable, Skew-Symmetric Finite Difference Schemes on Collocated Grids

A Simple Way to Avoid Odd–Even Decoupling

verfasst von: Julius Reiss

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2015

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Abstract

A simple scheme for incompressible, constant density flows is presented, which avoids odd-even decoupling for the Laplacian on collocated grids. Energy stability is implied by guaranteeing strict energy conservation. Momentum is conserved. Arbitrary order in space and time can easily be obtained. These conservation properties also hold on transformed grids.

Vorheriger Artikel High Order Boundary Conditions for High Order Finite Difference Schemes on Curvilinear Coordinates Solving Compressible Flows

Nächster Artikel High-Order Algorithms for Laplace–Beltrami Operators and Geometric Invariants over Curved Surfaces

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The there depicted time is measured in the vortex turn-over time leading to a factor of four.

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Titel: A Family of Energy Stable, Skew-Symmetric Finite Difference Schemes on Collocated Grids
A Simple Way to Avoid Odd–Even Decoupling
verfasst von: Julius Reiss
Publikationsdatum: 01.11.2015
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2015
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-015-9985-7

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