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

研究成果: Article

61 引用 (Scopus)

抜粋

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.

元の言語English
ページ(範囲)57-77
ページ数21
ジャーナルJournal of Computational Physics
194
発行部数1
DOI
出版物ステータスPublished - 2004 2 10
外部発表Yes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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