Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

K. Takizawa, T. Yabe*, T. Nakamura

*この研究の対応する著者

研究成果: Article査読

20 被引用数 (Scopus)

抄録

A new numerical method that guarantees exact mass conservation is proposed to solve multi-dimensional hyperbolic equations in semi-Lagrangian form without directional splitting. The method is based on a concept of CIP scheme and keep the many good characteristics of the original CIP scheme. The CIP strategy is applied to the integral form of variable. Although the advection and non-advection terms are separately treated, the mass conservation is kept in a form of spatial profile inside a grid cell. Therefore, it retains various advantages of the semi-Lagrangian schemes with exact conservation that has been beyond the capability of conventional semi-Lagrangian schemes.

本文言語English
ページ(範囲)137-159
ページ数23
ジャーナルComputer Physics Communications
148
2
DOI
出版ステータスPublished - 2002 10月 15
外部発表はい

ASJC Scopus subject areas

  • ハードウェアとアーキテクチャ
  • 物理学および天文学(全般)

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