Simplified shallow water flow equations and their potential use in bottom profile optimization
2007 (English)In: ZAMM - Journal of Applied Mathematics and Mechanics, ISSN 1521-400, Vol. 87, no 11-12, 792-808 p.Article in journal (Refereed) Published
In this paper, an optimization method for systems described by linearizedviscous shallow water equations is proposed. It can potentially be used tooptimize bottom profiles and is based on techniques commonly found in thearea of topology optimization of structures, but with the difference that acontinuous, and not discrete, design is sought. The presentation includes aderivation and linearization of the stationary viscous shallow water equations,which are used as state equations in the optimization problem. The finalproblem definition is closely related to the Darcy–Stokes fluid flow topologyoptimization problem, from which many results are derived by analogy.
From the numerical examples it is concluded that natural–like designscan be created for proper choices of parameter values. However, presentlythe model is not physically validated and its exact domain of application isnot yet known.
Place, publisher, year, edition, pages
2007. Vol. 87, no 11-12, 792-808 p.
Shallow water flow, bottom profile optimization, topology optimization
National CategoryFluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:liu:diva-14852DOI: 10.1002/zamm.200610356OAI: oai:DiVA.org:liu-14852DiVA: diva2:25357