Applications of Bottom Profile Optimization in Linear Viscous Shallow Water Flow
2007 (English)In: Proceedings of the 7th World Congress on Structural and Multidisciplinary Optimization, Seoul, Korea, May 2007, Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea: ISSMO , 2007, 2283-2292 p.Conference paper (Refereed)
In this paper, the design method for creating optimal bottom profiles inshallow water flow problems, proposed in Wiker et al., is investigated further.The method was inspired by techniques commonly found in the area oftopology optimization of structures, and uses the linear viscous shallow water
equations as state equations in the optimization problem. In Wiker et al.,an area–to–point flow problem was investigated, seeking the bottom profilewhich most efficiently transports a fluid added inside the domain, towards apoint on the boundary. Specifically, the influence on the solution of some ofthe problem parameters was tested, and it was concluded that natural–likedesigns can be created for proper choices of parameter values.In the present work, bottom profiles of two other problem types are studied— the point–to–line problem and the line–to–line problem. In the firstproblem, in order to mimic a river delta, an inflow is prescribed on a smallpart (point) of the boundary of a domain. To exit the domain on the oppositeside, the fluid is forced to pass a line of limited depth. For the secondproblem, a number of inflows are prescribed on one side (inflow line) of a rectangular domain and the fluid is then allowed to exit anywhere on theopposite side (outflow line). This can be seen as modeling the spillway frome.g. a dam.
Place, publisher, year, edition, pages
Guseong-dong, Yuseong-gu, Daejeon, Republic of Korea: ISSMO , 2007. 2283-2292 p.
Optimal bottom profile shallow water equations point-to-line flow line-to-flow
Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:liu:diva-14853OAI: oai:DiVA.org:liu-14853DiVA: diva2:25358