Notice of Retraction: A level set method for optimal shape control of the Stokes fluid flow

2010 ◽  
Author(s):  
Xian-Bao Duan ◽  
Fu-Cai Qian ◽  
Xin-Qiang Qin
Keyword(s):  
Fluid Flow ◽  
Level Set Method ◽  
Level Set ◽  
Shape Control ◽  
Optimal Shape ◽  
Optimal Shape Control ◽  
Stokes Fluid

Level Set Method for Topological Optimization of the Naiver-Stokes Fluid Flow

2012 ◽  
Vol 182-183 ◽  
pp. 1668-1672
Author(s):  
Xian Bao Duan ◽  
Fu Cai Qian ◽  
Xin Qiang Qin
Keyword(s):  
Sensitivity Analysis ◽  
Fluid Flow ◽  
Level Set Method ◽  
Level Set ◽  
Topological Optimization ◽  
Shape Sensitivity ◽  
Shape Sensitivity Analysis ◽  
Material Derivative ◽  
Level Set Function ◽  
Stokes Fluid

This paper presents a general algorithm for topological optimization of the incompressible Navier-Stokes fluid flow based on a level set method. This is a direct extension of our previous work on Stokes flow of such problems. First we obtain the shape sensitivity analysis using the material derivative concept and adjoint variable technique, and then we couple the shape sensitivity analysis result into the level set function as the advection velocity. Since the level set method is implemented in an Euleran framework, the computational cost of the proposed algorithm is moderate. A Benchmark example is provided to illustrate the efficiency and validity of this method.

Sign in / Sign up

Export Citation Format

Share Document