A high resolution upwind scheme for multi-component flows

Conservative schemes usually produce non-physical oscillations in multi-component flow solutions. Many methods were proposed to avoid these oscillations. Some of these correction schemes could fix these oscillations in the pressure profile at discontinuities, but the density profile still remained diffused between the two components. In the case of gas-liquid interfaces, density diffusion is not acceptable. In this paper, the interfacial correction scheme proposed by Cocchi et al was modified to be used in conjunction with the level-set approach. After each time step two grid points that bound the interface are recalculated by using an exact Riemann solver so that pressure oscillations and the density diffusion at discontinuities were eliminated. The scheme presented here can be applied to any type of conservation law solver. Some examples solved by this scheme and their results are compared with the exact solution when available. Good agreement is obtained between the present results and the exact solutions. Copyright (C) 2002 John Wiley Sons, Ltd.