Name
Abstract | ||
|---|---|---|
We propose a heuristic optimization method for a density-based fluid topology optimization using a Hessian matrix. In flow topology optimization, many researches use a gradient-based method. Convergence rate of a gradient method is linear, which means slow convergence near the optimal solution. For faster convergence, we utilize a Hessian matrix toward the end of the optimization procedure. In the present paper, we formulate a fluid optimization problem using the lattice Boltzmann method and heuristically solve the optimization problem with using an approximated sensitivity. In the formulation of a Hessian matrix, we use a heuristic trick in order to formulate it as a diagonal matrix. By the heuristics, the computation cost is decreased drastically. The validity of the method is studied via numerical examples. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10957-018-1404-4 | Journal of Optimization Theory and Applications |
Keywords | Field | DocType |
Topology optimization,Lattice Boltzmann method,Hessian,Sensitivity analysis,76D55,76M25,49M15 | Gradient method,Convergence (routing),Mathematical optimization,Heuristic,Hessian matrix,Rate of convergence,Topology optimization,Diagonal matrix,Optimization problem,Mathematics | Journal |
Volume | Issue | ISSN |
180.0 | 2.0 | 1573-2878 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kazuo Yonekura | 1 | 0 | 0.34 |
| Yoshihiro Kanno | 2 | 1 | 2.39 |