A Conservative Semi-Lagrangian Method for the Advection Problem

被引：1

作者：

Efremov, Alexandr ^{[1
]}

Karepova, Evgeniya ^{[1
,2
]}

Shaidurov, Vladimir ^{[1
]}

机构：

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

[2] Siberian Fed Univ, IM&CS, Krasnoyarsk, Russia

来源：

NUMERICAL ANALYSIS AND ITS APPLICATIONS (NAA 2016) | 2017年 / 10187卷

关键词：

Semi-lagrangian approach; Advection equation; Hyperbolic conservation law;

D O I：

10.1007/978-3-319-57099-0_35

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In the paper, a new discrete analogue of an initial-boundary value problem is presented for the two-dimensional advection equation arising from a scalar time-dependent hyperbolic conservation law. At each time level, an approximate solution is found as a bilinear function on a uniform rectangular grid. For the presented scheme, a discrete analogue of the local integral balance equation is valid between two neighboring time levels. The numerical experiments are discussed for a solution with strong gradients.

引用

页码：325 / 333

页数：9

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