Moving meshes, conservation laws and least squares equidistribution | Zendy

Baines M. J. | Zendy

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Moving meshes, conservation laws and least squares equidistribution

Author(s) -

Baines M. J.

Publication year - 2002

Publication title -

international journal for numerical methods in fluids

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.938

H-Index - 112

eISSN - 1097-0363

pISSN - 0271-2091

DOI - 10.1002/fld.294

Subject(s) - conservation law , polygon mesh , mathematics , norm (philosophy) , euler equations , minification , residual , euler's formula , scalar (mathematics) , degenerate energy levels , measure (data warehouse) , mathematical analysis , mathematical optimization , law , geometry , algorithm , computer science , physics , quantum mechanics , database , political science

In this paper a least squares measure of a residual is minimized to move an unstructured triangular mesh into an optimal position, both for the solution of steady systems of conservation laws and for functional approximation. The result minimizes a least squares measure of an equidistribution norm, which is a norm measuring the uniformity of a fluctuation monitor. The minimization is carried out using a steepest descent approach. Shocks are treated using a mesh with degenerate triangles. Results are shown for a steady‐scalar advection problem and two flows governed by the Euler equations of gasdynamics. Copyright © 2002 John Wiley & Sons, Ltd.

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