Control of spurious oscillations in the salt water intrusion problem

Autor:	W. L. Wood, R. S. Wikramaratna
Rok vydání:	1983
Předmět:	Numerical Analysis geography Molecular diffusion geography.geographical_feature_category Meteorology Applied Mathematics General Engineering Finite difference method Aquifer Upwind scheme Mechanics Nonlinear system Saltwater intrusion Dispersion (water waves) Mixing (physics) Geology
Zdroj:	International Journal for Numerical Methods in Engineering. 19:1243-1251
ISSN:	1097-0207 0029-5981
DOI:	10.1002/nme.1620190811
Popis:	This paper shows that the ‘streamline upwinding’ proposed by Hughes and Brooks1 is particularly simple to implement with the coupled nonlinear equations of the problem of salt water intrusion in a coastal aquifer. Because the mechanical dispersion effect is far larger than the molecular diffusion, the notorious spurious oscillations can be controlled by limiting the ratio of grid size to the streamline mixing length. The method is demonstrated on an example of a typical aquifer by giving the diagnostic variation of concentration and various salt profiles for different values of the key parameter.
Databáze:	OpenAIRE
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