A low-dispersion and low-dissipation implicit Runge-Kutta scheme

被引：23
|
作者：
Najafi-Yazdi, A. [1 ]
Mongeau, L. [1 ]
机构：
[1] McGill Univ, Dept Mech Engn, Montreal, PQ H3A 2K6, Canada
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2013年 / 233卷
基金：
加拿大自然科学与工程研究理事会;
关键词：
Runge-Kutta; Time integration; Aeroacoustics; Wave propagation; Implicit scheme; FINITE-DIFFERENCE SCHEMES; NAVIER-STOKES EQUATIONS; COMPUTATIONAL ACOUSTICS; BOUNDARY-CONDITIONS; RESOLUTION;
D O I：
10.1016/j.jcp.2012.08.050
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A fourth-order, implicit, low-dispersion, and low-dissipation Runge-Kutta scheme is introduced. The scheme is optimized for minimal dissipation and dispersion errors. High order accuracy is achieved with fewer stages than standard explicit Runge-Kutta schemes. The scheme is designed to be A-stable for highly stiff problems. Possible applications include wall-bounded flows with solid boundaries in the computational domain, and sound generation by reacting flows. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：315 / 323
页数：9
相关论文
共 50 条
12345