Numerical Simulation And Quantitative Analysis Of Richtmyer-Meshkoy Instability Using Front-tracking Method

In the background of two-phase flow numerical simulation of combustion of hydrogen/hydrocarbon in supersonic air stream, a qualitative and quantitative research on Richtmyer-Meshkov instability, which is an interfacial flow phenomenon commonly seen under condition of high-pressure and temperature and has a significant impact on the efficiency of supersonic combustion, is conducted here.The front tracking method employed in Frontier based on a marching cubes iso-surface extractor, which is provided to achieve sharp resolution for the simulation of non-diffusive interfacial flow. Compared with the traditional topology processing procedure, the current front tracking method is easier to be implemented and presents high performance in terms of computational resources.First, a series of numerical tests, including2-D highly-shearing flows,3-D bubbles merging process, The Rayleigh-Taylor (RT) and Richtmyer-Meshkov (RM) instability are conducted to numerically examine the performance of the current methodology for tracking interfaces between two immiscible fluids.Furthermore, on the basis of good agreement between numerical and relative experimental results, some amplitude growth models for RM instability and their applicability is numerically validated and comparatively analyzed. In terms of different stages of the developments of RM instability, linear, nonlinear, and potential, the quantitative comparison and analysis of parameter sensitivity for different models according to relative stages has been conducted. The conclusion obtained in our study provides some references for model-choosing, with efforts to promptly and precisely predict the development of RM instability.