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.
- Fluids Engineering Division
Topology Optimization for Stokes Problem Under Multiple Flow Cases Using an Improved Level Set Method
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Zhang, B, Liu, X, & Sun, J. "Topology Optimization for Stokes Problem Under Multiple Flow Cases Using an Improved Level Set Method." Proceedings of the ASME 2013 Fluids Engineering Division Summer Meeting. Volume 1A, Symposia: Advances in Fluids Engineering Education; Advances in Numerical Modeling for Turbomachinery Flow Optimization; Applications in CFD; Bio-Inspired Fluid Mechanics; CFD Verification and Validation; Development and Applications of Immersed Boundary Methods; DNS, LES, and Hybrid RANS/LES Methods. Incline Village, Nevada, USA. July 7–11, 2013. V01AT02A003. ASME. https://doi.org/10.1115/FEDSM2013-16155
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