Topology optimization for stokes problem under multiple flow cases using an improved level set method

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Abstract

We present a topology optimization method for the Stokes problem under multiple flow cases by an improved level set method. In the framework of level set method, an implicit reinitialization approach is developed by deriving a new formula for the smoothing parameter in the conventional reinitialization equation. And a spline-free parameterization re-meshing method is adopted to overcome the convergence difficulty in flow analysis and guarantee the direct loading of the no-slip boundary condition. The topology optimization method developed in this paper is used to implement the optimal design for Stokes flow with the different boundary conditions. Numerical examples demonstrate that the proposed approach is effective and robust for the topology optimization of Stokes problem under multiple flow cases.

Original languageEnglish
Title of host publicationASME 2013 Fluids Engineering Division Summer Meeting, FEDSM 2013
DOIs
StatePublished - 2013
EventASME 2013 Fluids Engineering Division Summer Meeting, FEDSM 2013 - Incline Village, NV, United States
Duration: 7 Jul 201311 Jul 2013

Publication series

NameAmerican Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM
Volume1 A
ISSN (Print)0888-8116

Conference

ConferenceASME 2013 Fluids Engineering Division Summer Meeting, FEDSM 2013
Country/TerritoryUnited States
CityIncline Village, NV
Period7/07/1311/07/13

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