A stable and conservative high order multi-block method for the compressible Navier-Stokes equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Nordstrom, Jan^1,2,3  Gong, Jing³  van der Weide, Edwin⁴  Svard, Magnus⁵ 

[1] Univ Witwatersrand, Sch Mech Ind & Aeronaut Engn, ZA-2050 Wits, South Africa

[2] Swedish Def Res Agcy, FOI, Dept Aeronaut & Syst Integrat, SE-16490 Stockholm, Sweden

[3] Uppsala Univ, Dept Informat Technol, SE-75105 Uppsala, Sweden

[4] Univ Twente, Fac Engn Technol, NL-7500 AE Enschede, Netherlands

[5] Univ Oslo, Ctr Math Applicat, N-0316 Oslo, Norway

关键词: Navier-Stokes;    Finite difference;    High order;    Stability;    Conservation;   

DOI  :  10.1016/j.jcp.2009.09.005

来源: Elsevier

【 摘 要 】

A stable and conservative high order multi-block method for the time-dependent compressible Navier-Stokes equations has been developed. Stability and conservation are proved using summation-by-parts operators, weak interface conditions and the energy method. This development makes it possible to exploit the efficiency of the high order finite difference method for non-trivial geometries. The computational results corroborate the theoretical analysis. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free