Numerical strategies for stroke optimization of axisymmetric microswimmers. (English) Zbl 1315.65100
Summary: We propose a computational method to solve optimal swimming problems, based on the boundary integral formulation of the hydrodynamic interaction between swimmer and surrounding fluid and direct constrained minimization of the energy consumed by the swimmer.
We apply our method to axisymmetric model examples. We consider a classical model swimmer (the three-sphere swimmer) as well as a novel axisymmetric swimmer inspired by the observation of biological micro-organisms.
We apply our method to axisymmetric model examples. We consider a classical model swimmer (the three-sphere swimmer) as well as a novel axisymmetric swimmer inspired by the observation of biological micro-organisms.
MSC:
| 65N38 | Boundary element methods for boundary value problems involving PDEs |
| 49N90 | Applications of optimal control and differential games |
| 76D55 | Flow control and optimization for incompressible viscous fluids |
| 76Z10 | Biopropulsion in water and in air |
Keywords:
optimal swimming; Stokes flow; optimal gait; boundary element method; fluid-structure interactionReferences:
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