Fast high order ADER schemes for linear hyperbolic equations

被引：81

作者：

Schwartzkopff, T

Dumbser, M

Munz, CD

机构：

[1] Institut fur Aerodynamik/Gasdynamik, Universität Stuttgart, 70550 Stuttgart

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2004年 / 197卷 / 02期

关键词：

Finite-volume; High-order;

D O I：

10.1016/j.jcp.2003.12.007

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

A reformulation of the ADER approach (Arbitrary high order schemes using DERivatives) for linear hyperbolic PDE's is presented. This reformulation leads to a drastic decrease of the computational effort. A formula for the construction of ADER schemes that are arbitrary high order accurate in space and time is given. The accuracy for some selected schemes is shown numerically for the two-dimensional linearized Euler equations as a mathematical model for noise propagation in the time domain in aeroacoustics. © 2003 Elsevier Inc. All rights reserved.

引用

页码：532 / 539

页数：8

共 13 条

[1] A 2ND-ORDER GODUNOV-TYPE SCHEME FOR COMPRESSIBLE FLUID-DYNAMICS [J].