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Discretization of incompressible vorticity–velocity equations on triangular meshes

✍ Scribed by Shenaz Choudhury; R. A. Nicolaides

Book ID
102842186
Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
586 KB
Volume
11
Category
Article
ISSN
0271-2091

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✦ Synopsis

This paper describes a new approach to discretizing first-and second-order partial differential equations. It combines the advantages of finite elements and finite differences in having both unstructured (triangular/tetrahedral) meshes and low-order physically intuitive schemes. In this 'co-volume' framework, the discretized gradient, divergence, curl, (scalar) Laplacian, and vector Laplacian operators satisfy relationships found in standard vector field theory, such as a Helmholtz decomposition. This article focuses on the vorticity-velocity formulation for planar incompressible flows. The algorithm is described and some supporting numerical evidence is provided.

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