Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme

被引：55

作者：

Yabe, T ^{[1
]}

Mizoe, H

Takizawa, K

Moriki, H

Im, HN

Ogata, Y

机构：

[1] Tokyo Inst Technol, Dept Mech Engn & Sci, Meguro Ku, Tokyo 1528552, Japan

[2] Tohoku Elect Power Co Inc, Aoba Ku, Sendai, Miyagi 9810952, Japan

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 194卷 / 01期

关键词：

third-order scheme; numerical algorithm; curvilinear coordinate; mesh free; semi-Lagrangian schemes;

D O I：

10.1016/j.jcp.2003.08.019

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：57 / 77

页数：21

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