Moving meshes, conservation laws and least squares equidistribution

Baines, M. J. (2002) Moving meshes, conservation laws and least squares equidistribution. International Journal of Numerical Methods for Fluids, 40 (1-2). pp. 3-19. ISSN 1097-0363 doi: 10.1002/fld.294

Abstract/Summary

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.

Item Type	Article
URI	https://reading-clone.eprints-hosting.org/id/eprint/117984
Item Type	Article
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Wiley
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