ダウンロード数: 897
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
j.jcp.2014.06.004.pdf | 1.66 MB | Adobe PDF | 見る/開く |
タイトル: | Topology optimization using the lattice Boltzmann method incorporating level set boundary expressions |
著者: | Yaji, Kentaro Yamada, Takayuki https://orcid.org/0000-0002-5349-6690 (unconfirmed) Yoshino, Masato Matsumoto, Toshiro Izui, Kazuhiro https://orcid.org/0000-0002-8875-7758 (unconfirmed) Nishiwaki, Shinji |
著者名の別形: | 矢地, 謙太郎 |
キーワード: | Topology optimization Level set method Phase field method Lattice Boltzmann method Boltzmann equation Adjoint variable method |
発行日: | Oct-2014 |
出版者: | Elsevier Inc. |
誌名: | Journal of Computational Physics |
巻: | 274 |
開始ページ: | 158 |
終了ページ: | 181 |
抄録: | This paper presents a topology optimization method for fluid dynamics problems, based on the level set method and using the lattice Boltzmann method (LBM). In this optimization method, the optimization problems are formulated based on the original Boltzmann equation, and the design sensitivities are precisely obtained without the time-consuming numerical operations encountered when dealing with a large-scale asymmetric matrix, in contrast to previous research in which the LBM uses the lattice Boltzmann equation (LBE) for the formulations of optimization problems and the derivation of their adjoint equations. That is, we newly derive sensitivity formulations from the original Boltzmann equation, not the LBE that can be said to be an approximated equation, and these formulations yield strictly correct sensitivities that are error free. Based on the above formulations, we construct a level set-based topology optimization method incorporating a fictitious interface energy for the design of a fluid channel that minimizes flow friction. Furthermore, two- and three-dimensional numerical examples are provided to confirm the validity and utility of the presented method. |
著作権等: | © 2014 Elsevier Inc. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/189430 |
DOI(出版社版): | 10.1016/j.jcp.2014.06.004 |
出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。