可压流的龙格-库塔时间步进求解法及其应用

COMPUTATION OF COMPRESSIBLE FLOW USING RUNGE KUTTA TIME STEPPING SCHEME

关键词:  电弧喷射发动机  磁流体动力流  流动分布  可压缩流  数值计算

Key words:  Arc jet engine  Magnetohydrodynamic flow  Flow distribution  Compressible flow  Numerical calculation

摘要:

研究了用经典四阶龙格－库塔法计算可压缩流场的可行性，并将其用到了电弧喷射推力器内部等离子体流场的数值求解中。应用情况表明，在结合了局域时间步长、隐式残值光滑加速收敛措施后，本格式能够成功地计算比较复杂的可压缩气体流场以及等离子体流场。有关计算结果揭示了气体流经电弧喷射推力器通道但无电流时形成的纯气动流场以及有电流通过时形成的等离子体流场的丰富的结构和一些重要的影响因素，为研究其过程机制提供了依据。

Abstract:

A time stepping scheme using four oder classical Runge Kutta method was used on internal plasma flow simulation for arcjet thruster after its validation for compressible flow calculation was studied.It showed that this scheme can be applied successfully on complex compressible gas flow calculation and plasma flow calculation when combining with several acceleration techniques such as local time step and implicit residual smoothing.The gas flows without electric flow and the plasma flow with electric flow throughout arcjet thruster channel were calculated and plenty of flow structures and several important affecting factors of these flowfields were revealed.