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

JOURNAL OF COMPUTATIONAL PHYSICS

卷:233

Article

Najafi-Yazdi, A.¹  Mongeau, L.¹ 

[1] McGill Univ, Dept Mech Engn, Montreal, PQ H3A 2K6, Canada

关键词: Runge-Kutta;    Time integration;    Aeroacoustics;    Wave propagation;    Implicit scheme;   

DOI  :  10.1016/j.jcp.2012.08.050

来源: Elsevier

【 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.

【 授权许可】

Free