High-order upwind compact scheme and simulation of turbulent premixed V-flame

摘要

A high-order accurate upwind compact difference scheme with an optimal control coefficient is developed to track the flame front of a premixed V-flame. In multi-dimensional problems, dispersion effect appears in the form of anisotropy. By means of Fourier analysis of the operators, anisotropic effects of the upwind compact difference schemes are analysed. Based on a level set algorithm with the effect of exothermicity and baroclinicity, the flame front is tracked. The high-order accurate upwind compact scheme is employed to approximate the level set equation. In order to suppress numerical oscillations, the group velocity control technique is used and the upwind compact difference scheme is combined with the random vortex method to simulate the turbulent premixed V-flame. Distributions of velocities and flame brush thickness are obtained by this technique and found to be comparable with experimental measurement.