A Semi-Lagrangian method on dynamically adapted grid for two-dimensional advection problem

被引：0

作者：

Vyatkin, A. V. ^{[1
]}

Kuchunova, E., V ^{[2
]}

Shaydurov, V. V. ^{[1
]}

机构：

[1] RAS, Inst Computat Modelling SB, Akademgorodok 50-44, Krasnoyarsk 660036, Russia

[2] Siberian Fed Univ, 79 Svobodny Pr, Krasnoyarsk 660041, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2016年 / 13卷

关键词：

semi-Lagrangian method; adaptive grid; advection problem;

D O I：

10.17377/semi.2016.13.095

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We develop a semi-Lagrangian algorithm for solving the two-dimensional advection problem. A numerical solution is constructed as a piecewise constant function on neighborhood of grid node. The proposed method is stable and gives an approximate solution with the first order of accuracy for smooth solutions. We use dynamically adaptive grid. As initial guest we consider rectangular grid.

引用

页码：1219 / 1228

页数：10

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