Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

K. Takizawa; T. Yabe; T. Nakamura

doi:10.1016/S0010-4655(02)00472-1

Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

20 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 language	English
Pages (from-to)	137-159
Number of pages	23
Journal	Computer Physics Communications
Volume	148
Issue number	2
DOIs	https://doi.org/10.1016/S0010-4655(02)00472-1
Publication status	Published - 2002 Oct 15
Externally published	Yes

Keywords

CIP
Conservation
Large CFL
Multi-dimensions
Semi-Lagrange

ASJC Scopus subject areas

Hardware and Architecture
Physics and Astronomy(all)

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10.1016/S0010-4655(02)00472-1

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N2 - 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.

AB - 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.

KW - CIP

KW - Conservation

KW - Large CFL

KW - Multi-dimensions

KW - Semi-Lagrange

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ER -

Multi-dimensional semi-Lagrangian scheme that guarantees exact conservation

Abstract

Keywords

ASJC Scopus subject areas

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