﻿ 使用极坐标格子玻尔兹曼方法研究冲击过程——复杂系统中非平衡效应的探索

# 使用极坐标格子玻尔兹曼方法研究冲击过程——复杂系统中非平衡效应的探索Polar Coordinate Lattice Boltzmann Studying of Shocking Process——Investigation of Non-Equilibrium Effects in Complex System

The Polar Coordinate Lattice Boltzmann (PCLB) model is used to investigate the shocking processes. The discrete velocity model used in this PCLB is the D2V97 presented by Watari and Tsutahara. The convective term is treated with a modified Warming-Beam scheme. Two shocking processes are investigated. In one case, the evolution of a shock wave travels inwards within an annular area is studied. In the other case, the evolution of a shock wave travels inwards within a circular area is studied. The non-equilibrium effects around the shock fronts are investigated by ana- lyzing the simulated results of velocity moments of local discrete distribution function. To further understand the inter- face from a more fundamental level, we give the sketch of the actual distribution function in velocity space around the shock front.

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