抄録
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.
| 元の言語 | English |
|---|---|
| ページ（範囲） | 57-77 |
| ページ数 | 21 |
| ジャーナル | Journal of Computational Physics |
| 巻 | 194 |
| 発行部数 | 1 |
| DOI | |
| 出版物ステータス | Published - 2004 2 10 |
| 外部発表 | Yes |
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ASJC Scopus subject areas
- Computer Science Applications
- Physics and Astronomy(all)
これを引用
Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme. / Yabe, Takashi; Mizoe, Hiroki; Takizawa, Kenji; Moriki, Hiroshi; Im, Hyo Nam; Ogata, Youichi.
：: Journal of Computational Physics, 巻 194, 番号 1, 10.02.2004, p. 57-77.研究成果: Article
}
TY - JOUR
T1 - Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme
AU - Yabe, Takashi
AU - Mizoe, Hiroki
AU - Takizawa, Kenji
AU - Moriki, Hiroshi
AU - Im, Hyo Nam
AU - Ogata, Youichi
PY - 2004/2/10
Y1 - 2004/2/10
N2 - 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.
AB - 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.
KW - Curvilinear coordinate
KW - Mesh free
KW - Numerical algorithm
KW - Semi-Lagrangian scheme
KW - Third-order scheme
UR - http://www.scopus.com/inward/record.url?scp=0842333838&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0842333838&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2003.08.019
DO - 10.1016/j.jcp.2003.08.019
M3 - Article
AN - SCOPUS:0842333838
VL - 194
SP - 57
EP - 77
JO - Journal of Computational Physics
JF - Journal of Computational Physics
SN - 0021-9991
IS - 1
ER -