Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme

Takashi Yabe*, Hiroki Mizoe, Kenji Takizawa, Hiroshi Moriki, Hyo Nam Im, Youichi Ogata

*この研究の対応する著者

研究成果: Article査読

64 被引用数 (Scopus)

抄録

A new class of body-fitted grid system that can keep the third-order accuracy in time and space is proposed with the help of the CIP (constrained interpolation profile/cubic interpolated propagation) method. The grid system consists of the straight lines and grid points moving along these lines like abacus - Soroban in Japanese. The length of each line and the number of grid points in each line can be different. The CIP scheme is suitable to this mesh system and the calculation of large CFL (>10) at locally refined mesh is easily performed. Mesh generation and searching of upstream departure point are very simple and almost mesh-free treatment is possible. Adaptive grid movement and local mesh refinement are demonstrated.

本文言語English
ページ(範囲)57-77
ページ数21
ジャーナルJournal of Computational Physics
194
1
DOI
出版ステータスPublished - 2004 2月 10
外部発表はい

ASJC Scopus subject areas

  • 数値解析
  • モデリングとシミュレーション
  • 物理学および天文学(その他)
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用
  • 計算数学
  • 応用数学

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