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Adaptive mesh strategies for the spectral element method

✍ Scribed by Catherine Mavriplis

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
628 KB
Volume
116
Category
Article
ISSN
0045-7825

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✦ Synopsis

An adaptive spectral element method has been developed for the efficient solution of time dependent partial differential equations. Adaptive mesh strategies that include resolution refinement and coarsening by three different methods are illustrated on solutions to the one-dimensional viscous Burgers equation and the two-dimensional Navier-Stokes equations for driven flow in a cavity. Sharp gradients, singularities and regions of poor resolution are resolved optimally as they develop in time using error estimators which indicate the choice of refinement to be used, The adaptive formulation presents significant increases in efficiency, flexibility and general capabilities for high order spectral methods.

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