Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

Kenji Takizawa, T. Yabe, T. Nakamura

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

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
Volume148
Issue number2
DOIs
Publication statusPublished - 2002 Oct 15
Externally publishedYes

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Keywords

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

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

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