Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)137-159
Number of pages23
JournalComputer Physics Communications
Issue number2
Publication statusPublished - 2002 Oct 15
Externally publishedYes


  • CIP
  • Conservation
  • Large CFL
  • Multi-dimensions
  • Semi-Lagrange

ASJC Scopus subject areas

  • Hardware and Architecture
  • General Physics and Astronomy


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