A well-balanced approximate Riemann solver for compressible flows in variable cross-section ducts
作者:
Highlights:
•
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.
论文关键词:Well-balanced scheme,Approximate Riemann solver,Compressible flows,Riemann problem
论文评审过程:Received 16 July 2010, Revised 6 September 2011, Available online 15 November 2011.
论文官网地址:https://doi.org/10.1016/j.cam.2011.11.008