二维Euler方程的自适应网格矢通量算法

IMPLICIT FLUX VECTOR SPLITTING METHOD OF TWO DIMENSIONAL EQUATION WITH ADAPTIVE GRID

关键词:  固体推进剂火箭发动机  格网法  欧拉方程  激波  流动分布  数值计算

Key words:  Solid propellant rocket engine  Grids method  Euler equation  Shock wave  Flow distribution  Numerical calculation

摘要:

给出了二维轴对称欧拉方程的自适应网格隐式矢通量分裂差分格式和模拟结果。隐式矢通量分裂格式不需人工粘性项与人工耗散项，可以计算跨声速流场，也可以较准确地捕获激波。利用流场解的梯度信息对网格进行调整，可以提高激波的捕获精度。算例表明：该方法精度高、稳定性好、不依赖于初始条件。

Abstract:

An implicit flux vector splitting scheme of 2 D asymmetric Euler equation under the adaptive grid was presented and some test results were shown.Without artificial viscosity and dissipation, implicit flux vector splitting scheme can predict the transonic flow field and capture the shock wave accurately.When the grid was remeshing acording to the distribution of parameter gradient in flow field the calculation of shock wave was more accurate.The tests show that this method is exact,stable and does not rely on the initial condition