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Time accurate local time stepping for the unsteady shallow water equations

✍ Scribed by A. J. Crossley; N. G. Wright

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
346 KB
Volume
48
Category
Article
ISSN
0271-2091

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✦ Synopsis

Two time accurate local time stepping (LTS) strategies originally developed for the Euler equations are presented and applied to the unsteady shallow water equations of open channel ow. Using the techniques presented allows individual cells to be advanced to di erent points in time, in a time accurate fashion. The methods shown are incorporated into an explicit ÿnite volume version of Roe's scheme which is implemented in conjunction with an upwind treatment for the source terms. A comparison is made between the results obtained using the conventional time stepping approach and the two LTS methods through a series of test cases. The results illustrate a number of beneÿts of using LTS which included reduced run times and improved solution accuracy. In addition it is shown how using an upwind source term treatment can be beneÿcial for ows dominated by the geometry.

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