TOPOLOGICAL OPTIMIZATION FOR A QUASI-LINEAR PROBLEM WITH APPLICATION TO NON-NEWTONIAN FLUIDS
Keywords:
non-Newtonian fluids, topological optimisation, asymptotic expansion, numerical method, numerical simulations.DOI:
https://doi.org/10.17654/0975045222007Abstract
Topological optimization of non-Newtonian fluids is currently an active area in applied mathematics. Topological optimization aims to give an asymptotic expansion of a shape functional under PDE constraints. In this paper, we propose a topological derivative formulation for a non-Newtonian fluid governed by nonlinear PDE. By using generalized adjoint method, we give an asymptotic expansion of a given functional and consequently some numerical simulations are given in domains with obstacles and domains without obstacles.
Received: September 7, 2022
Accepted: October 17, 2022
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