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

页码：315 / 323

页数：9

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