16th ASCE Engineering Mechanics Conference

July 16-18, 2003

University of Washington, Seattle, USA.

A second-order correction for semi-implicit shallow water methods

Ben R. Hodges

Asst. Professor, University of Texas at Austin

<pdf of presentation>

<pdf of conference paper>

Abstract:

Test simulations of a free-surface seiche are used to examine the effects of a second-order correction term in a semi-implicit hydrostatic Navier-Stokes solver. Previously the correction term has been neglected, which formally reduces a Crank-Nicolson solution method to first order. However, for the test cases examined to date, the effect of neglecting the correction appears to be small, particularly where the flow depth is significantly larger than the free surface wave amplitude.

N.B. the results shown in the presentation (July 2003) provide significantly more insight than the conference paper(completed in March 2003) and actually partially contradict the short abstract above. Further results are in a paper in the Journal of Engineering Mechanics <web abstract>

The the above pdf is paper 513 in the electronic proceedings - but the official CD-ROM seems to have some errors that prevent proper display on some systems.

Citation: Hodges, Ben R. (2003). "A second-order correction for semi-implicit shallow water methods," in Electronic Proceedings of the 16th ASCE Engineering Mechanics Conference, University of Washington, Seattle, July 16-18, 2003.

< back to project page >