Vorticity generation in compressible multiphase flows

21st Fluid Mechanics Conference

物理学;力学

Ballil, A.^1 ; Nowakowski, A.F.^1 ; Jolgam, S.^1 ; Nicolleau, F.C.G.A.^1

Sheffield Fluid Mechanics Group, Department of Mechanical Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, United Kingdom^1

关键词: Approximate Riemann solver;    Compressible fluids;    Computational technique;    Conservative equations;    Contact discontinuities;    Interface conditions;    Mathematical formulation;    Vorticity generation;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/530/1/012020/pdf
DOI  :  10.1088/1742-6596/530/1/012020

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The simulations of flows in inhomogeneous media of various physical regimes leading to shock-bubble interactions were performed using a developed numerical code based on a multi-component flow model. The numerical method which considers interfaces represented by contact discontinuities as numerically diffused zones, has been applied to simulate compressible two-phase flows. The approach takes advantage of the inherent numerical diffusion present in solutions. The mathematical formulation of the presented method is obtained after an averaging process of the single phase Navier-Stokes equations and contains the non-conservative equations and non-conservative terms that exist in the model to fulfill the interface condition. The finite volume Godunov-type computational technique, equipped with an approximate Riemann solver for calculating fluxes, is applied to simulate flows in two space dimensions. The approach accounts for pressure non-equilibrium. It resolves interfaces separating compressible fluids and captures the baroclinic source of vorticity generation. A numerically challenging shock bubble interaction problem is investigated to evaluate the effect of the Atwood number and shock wave intensity (various Mach numbers) on the interface evolution and vorticity generation.