Optimization of bottom profile in shallow water flow
(English)Manuscript (preprint) (Other academic)
In t his paper, a design method for creating optimal bottom profiles in flow systems, described by the linear shallow water equations, is proposed. The method is based on techniques commonly found in the area of topology optimization of structures. The presentation includes a derivation of the linearand stationary shallow water equations, which are used as state equations in the optimizaton problem. The final problem definition is closely related to the Darcy-Stokes fluid flow topology optimization problem, from which many results are derived by analogy.
From the numerical examples, it is concluded that natural-like designs can be created for proper choices of parameter values.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-102486OAI: oai:DiVA.org:liu-102486DiVA: diva2:678490