A well-balanced approximate Riemann solver for compressible flows in variable cross-section ducts

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:236

Article

Helluy, Philippe²  Herard, Jean-Marc¹  Mathis, Helene² 

[1] EDF, R&D, Fluid Dynam Power Generat & Environm, F-78400 Chatou, France

[2] Univ Strasbourg, IRMA, F-67084 Strasbourg, France

关键词: Well-balanced scheme;    Approximate Riemann solver;    Compressible flows;    Riemann problem;   

DOI  :  10.1016/j.cam.2011.11.008

来源: Elsevier

【 摘 要 】

A well-balanced approximate Riemann solver is introduced in this paper in order to compute approximations of one-dimensional Euler equations in variable cross-section ducts. The interface Riemann solver is grounded on the VFRoe-ncv scheme, and it enforces the preservation of Riemann invariants of the steady wave. The main properties of the scheme are detailed. We provide numerical results to assess the validity of the scheme, even when the cross-section is discontinuous. A first series is devoted to analytical test cases, and the last results correspond to the simulation of a bubble collapse. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free