×

Detection of point-forces location using topological algorithm in Stokes flows. (English) Zbl 1426.76147

Summary: We consider a viscous incompressible fluid under the action of a finite number of particles located inside the flow domain. Each particle exerts a pointwise force on the fluid. The main objective is the detection of point-forces locations through minimization of a given performance functional. The regularity-lack of the state does not allow to derive optimalities conditions and build numerical algorithms. To overcome this difficulty, a relaxation technique is used and the detection problem is formulated as a topological optimization one. A topological sensitivity analysis is derived and efficient numerical algorithms are proposed.

MSC:

76D55 Flow control and optimization for incompressible viscous fluids
76D07 Stokes and related (Oseen, etc.) flows
76M30 Variational methods applied to problems in fluid mechanics

Software:

FreeFem++
PDF BibTeX XML Cite
Full Text: DOI