Topology Optimization for Steady-State Navier-Stokes Flow Based on Parameterized Level Set Based Method  

作　　者：Peng Wei Zirun Jiang Weipeng Xu Zhenyu Liu Yongbo Deng Minqiang Pan 

机构地区：[1]State Key Laboratory of Subtropical Building Science,School of Civil Engineering and Transportation,South China University of Technology,Guangzhou,510641,China [2]State Key Laboratory of Applied Optics(SKLAO),Changchun Institute of Optics,Fine Mechanics and Physics(CIOMP),Chinese Academy of Sciences,Changchun,130033,China [3]Institute of Microstructure Technology(IMT),Karlsruhe Institute of Technology(KIT),Eggenstein-Leopoldshafen,76344,Germany [4]School of Mechanical and Automotive Engineering,South China University of Technology,Guangzhou,510641,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第7期593-619,共27页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China (Grant No.12072114);the National Key Research and Development Plan (Grant No.2020YFB1709401);the Guangdong Provincial Key Laboratory of Modern Civil Engineering Technology (2021B1212040003).

摘　　要：In this paper,we consider solving the topology optimization for steady-state incompressibleNavier-Stokes problems via a new topology optimization method called parameterized level set method,which can maintain a relatively smooth level set function with a local optimality condition.The objective of topology optimization is to􀀀nd an optimal con􀀀guration of theuid and solid materials that minimizes power dissipation under a prescribeduid volume fraction constraint.An arti􀀀cial friction force is added to the Navier-Stokes equations to apply the no-slip boundary condition.Although a great deal of work has been carried out for topology optimization ofuidow in recent years,there are few researches on the topology optimization ofuidow with physical body forces.To simulate theuidow in reality,the constant body force(e.g.,gravity)is considered in this paper.Several 2D numerical examples are presented to discuss the relationships between the proposed method with Reynolds number and initial design,and demonstrate the feasibility and superiority of the proposed method in dealing with unstructuredmesh problems.Three 3D numerical examples demonstrate the proposedmethod is feasible in three-dimensional.

关 键 词：Topology optimization parameterized level set method power dissipation no-slip boundary condition Navier-Stokes equations gravity 

分 类 号：TP393.09[自动化与计算机技术—计算机应用技术]