Topological Derivative-Based Topology Optimization of Linearized Viscous Shallow Water Equation

Mame Gor Ngom, Bakary Kourouma, Ibrahima Faye and Diaraf Seck

International Journal of Mathematics and Mathematical Sciences, 2026, vol. 2026, 1-20

Abstract: In this paper, we focus on the derivation of the topological derivative of shallow water equations. We consider two-dimensional viscous shallow-water equations linearized around a constant velocity. While these equations are commonly used to model various hydrodynamic phenomena such as waves and tsunamis, their study in a topology optimization framework remains rare. This work thus constitutes an original contribution, by proposing a formal derivation of the topological derivative associated with these equations. This approach opens the way to new optimal design methods for systems governed by shallow water equations.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:9940986

DOI: 10.1155/ijmm/9940986

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