A mesh evolution algorithm based on the level set method for geometry and topology optimization
نویسندگان
چکیده
منابع مشابه
A Mesh Evolution Algorithm Based on the Level Set Method for Geometry and Topology Optimization
We propose an approach for structural optimization which combines the flexibility of the level set method for handling large deformations and topology changes with the accurate description of the geometry provided by an exact mesh of the shape. The key ingredients of our method are efficient algorithms for (i) moving a level set function on an unstructured mesh, (ii) remeshing the surface corre...
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This paper proposes an effective algorithm based on the level set method (LSM) to solve shape and topology optimization problems. Since the conventional LSM has several limitations, a binary level set method (BLSM) is used instead. In the BLSM, the level set function can only take 1 and -1 values at convergence. Thus, it is related to phase-field methods. We don’t need to solve the Hamilton-Jac...
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We intend to propose a framework to handle the problem of mesh deformation in the context of shape optimization. The main idea is to combine the level set method with meshing tools specialized to deal with implicitly-defined geometries. The proposed method is then as well a topology optimization as a geometric optimization method.
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A narrow-band-based adaptive level set method is proposed for mesh evolution in this paper. In the preprocessing step, the portions of the mesh with high curvature are detected and clustered as fine geometric details. Then the fine grids with optimal orientations are defined for each detected portions, while the coarse grid is chosen for global evolution. The solutions on different scale grids ...
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A finite element based level set method is proposed for structural topology optimization. Because both the level set equation and the reinitialization equation are advection dominated partial differential equations, the standard Galerkin finite element method may produce oscillating results. In this paper, both equations are solved using a streamline diffusion finite element method (SDFEM). The...
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ژورنال
عنوان ژورنال: Structural and Multidisciplinary Optimization
سال: 2013
ISSN: 1615-147X,1615-1488
DOI: 10.1007/s00158-013-0929-2