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Revisiting density-based topology optimization for fluid-structure-interaction problems

delete2018-04-18
delete59
PRE
AI
C
Christian Lundgaard *
J
Joe Alexandersen
周明东 (Mingdong Zhou)
C
Casper Schousboe Andreasen
O
Ole Sigmund
DOI:10.1007/s00158-018-1940-4delete
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Abstract

Abstract

En 中文
This study revisits the application of density-based topology optimization to fluid-structure-interaction problems. The Navier-Cauchy and Navier-Stokes equations are discretized using the finite element method and solved in a unified formulation. The physical modeling is limited to two dimensions, steady state, the influence of the structural deformations on the fluid flow is assumed negligible, and the structural and fluid properties are assumed constant. The optimization is based on adjoint sensitivity analysis and a robust formulation ensuring length-scale control and 0/1 designs. It is shown, that non-physical free-floating islands of solid elements can be removed by combining different objective functions in a weighted multi-objective formulation. The framework is tested for low and moderate Reynolds numbers on problems similar to previous works in the literature and two new flow mechanism problems. The optimized designs are consistent with respect to benchmark examples and the coupling between the fluid flow, the elastic structure and the optimization problem is clearly captured and illustrated in the optimized designs. The study reveals new features of topology optimization of FSI problems and may provide guidance for future research within the field.
Keywords:
Topology optimization
Fluid-structure-interaction
Adjoint sensitivity analysis
The robust formulation
Objective functions
Flow mechanisms
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Journal

Structural and Multidisciplinary Optimization cover
Structural and Multidisciplinary Optimization
IF:
4
Papers:
4.8K
Citations:
1.7W

Organization

S
shanghai jiao tong university
Scholars:
15.6W
Papers: 11.6W
Citations: 159
T
technical university of denmark
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2.6W
Papers: 2.8W
Citations: 37