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Journal Articles Journal of Computational and Applied Mathematics Year : 2020

Shape optimization of Stokesian peristaltic pumps using boundary integral methods

Abstract

This article presents a new boundary integral approach for finding optimal shapes of peristaltic pumps that transport a viscous fluid. Formulas for computing the shape derivatives of the standard cost functionals and constraints are derived. They involve evaluating physical variables (traction, pressure, etc.) on the boundary only.By employing these formulas in conjunction with a boundary integral approach for solving forward and adjoint problems, we completely avoid the issue of volume remeshing when updating the pump shape as the optimization proceeds. This leads to significant cost savings and we demonstrate the performance on several numerical examples

Dates and versions

hal-02064507 , version 1 (12-03-2019)

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Marc Bonnet, Ruowen Liu, Shravan Veerapaneni. Shape optimization of Stokesian peristaltic pumps using boundary integral methods. Journal of Computational and Applied Mathematics, 2020, 46, pp.18. ⟨10.1007/s10444-020-09761-7⟩. ⟨hal-02064507⟩
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