Anisotropic mesh adaptation has been used to accelerate computation in several engineering fields, and we show that it can also be used for topology optimization. We use a combination of filtered continuous sensitivities and filtered design variables to drive the mesh adaptation. The filtered design variables are computed for this purpose only, while the filtered sensitivities are used as input to the optimizer. We test mesh independence for a cantilever problem and also show results for two other test cases. Finally, speedup relative to isotropic adaptation is estimated at 50 using average element aspect ratios.
Anisotropic Mesh Adaptation and Topology Optimization in Three Dimensions
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received April 29, 2015; final manuscript received December 8, 2015; published online April 15, 2016. Assoc. Editor: James K. Guest.
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Ejlebjerg Jensen, K. (April 15, 2016). "Anisotropic Mesh Adaptation and Topology Optimization in Three Dimensions." ASME. J. Mech. Des. June 2016; 138(6): 061401. https://doi.org/10.1115/1.4032266
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