Compressible bubble dynamic simulations with central-upwind schemes

9th International Symposium on Cavitation

Koukouvinis, P.^1 ; Gavaises, M.^1 ; Georgoulas, A.^2 ; Marengo, M.^2,3

City University London, Northampton Square, EC 1V 0HB, United Kingdom^1

Dept. of Engineering and Applied Sciences, University of Bergamo, Viale Marconi 5, Dalmine (BG)

24044, Italy^2

School of Computing, Engineering and Mathematics, University of Brighton, Cockcroft Building, Lewes Road, Brighton

BN2 4GJ, United Kingdom^3

关键词: Cavitating bubbles;    Cavitating flow;    Central-upwind scheme;    Direct evaluations;    Exact solution;    Large density ratio;    Riemann problem;    Second-order accuracy;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/656/1/012087/pdf
DOI  :  10.1088/1742-6596/656/1/012087

来源: IOP

【 摘 要 】

This paper discusses the implementation of an explicit density-based solver, based on the central-upwind schemes originally suggested by Kurganov, for the simulation of cavitating bubble dynamic flows. Explicit density based solvers are suited for highly dynamic, violent flows, involving large density ratios, as is rather common in cavitating flows. Moreover, the central-upwind schemes have the advantage of avoiding direct evaluation of the Jacobian matrix or estimation of the wave pattern emerging from Euler equations. Second order accuracy can be achieved with TVD MUSCL schemes. Basic comparison with the predicted wave pattern of the central-upwind schemes is performed with the exact solution of the Riemann problem showing an excellent agreement. Then several different bubble configurations were tested, similar to the work of Lauer et al. (2012). The central-upwind schemes prove to be able to handle the large pressure and density ratios appearing in cavitating flows, giving similar predictions in the evolution of the bubble shape.