Numerical Shape Optimization of an Isothermal Compressible Navier-Stokes Flow

被引：0
作者：
Zhang, Keyang [1 ]
Li, Jiajie [2 ]
Zhu, Shengfeng [2 ,3 ,4 ]
机构：
[1] East China Normal Univ, Sch Math Sci, Shanghai 200241, Peoples R China
[2] Shanghai Jiao Tong Univ, Sch Math Sci, Shanghai 200240, Peoples R China
[3] East China Normal Univ, Key Lab, Minist Educ, Shanghai 200241, Peoples R China
[4] East China Normal Univ, Shanghai Key Lab Pure Math & Math Practice, Shanghai 200241, Peoples R China
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2025年 / 205卷 / 02期
基金：
中国国家自然科学基金; 中国博士后科学基金;
关键词：
Shape optimization; Compressible Navier-Stokes equation; Finite element; Shape gradient; DOMAIN DEPENDENCE; DRAG; DERIVATIVES; GRADIENTS; EQUATIONS; BODY;
D O I：
10.1007/s10957-025-02634-3
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider numerical shape optimization of a compressible isothermal fluid model. The constrained system involves regularized compressible isothermal Navier-Stokes equations. The distributed and boundary type of shape gradients for objective functions (such as inverse problem, and energy dissipation power type) are derived via the adjoint method. The regularized Navier-Stokes equations are discretized with mixed finite element method and solved by the Leray-Schauder fixed point iterative scheme. Numerical results are presented to illustrate the effectiveness of the optimization algorithm proposed.
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页数：25
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