TY - JOUR
T1 - Modelling and Numerical Shape and Topology Optimization for a Hemivariational Inequality in Stokes Flows with Slip Boundary Conditions
AU - Feng , Fang
AU - Yang , Hui
AU - Zhu , Shengfeng
JO - Communications in Computational Physics
VL - 3
SP - 850
EP - 886
PY - 2025
DA - 2025/08
SN - 38
DO - http://doi.org/10.4208/cicp.OA-2024-0111
UR - https://global-sci.org/intro/article_detail/cicp/24317.html
KW - Shape optimization, topology optimization, Stokes flow, hemivariational inequality, level set method.
AB - <p style="text-align: justify;">This paper focuses on modelling and numerical shape and topology optimization for a nonlinear hemivariational inequality in a Stokes flow with contact and
frictional conditions. For the energy functional to be minimized subject to geometric
volume constraint, we present shape sensitivity analysis and propose a volume preserving gradient-type method for shape optimization. Moreover, we build a relaxed
topology optimization model for the hemivariational inequality in a Stokes fluid and
solve it by a level set method. Numerical examples are presented to verify effectiveness of the shape and topology optimization algorithms.</p>