高超声速化学非平衡粘性激波层方程的数值解

NUMERICAL SOLUTION OF THE HYPERSONIC VISCOUS SHOCK-LAYER EQUATIONS WITH CHEMICAL NONEQUILIBRIUM

本文讨论了高超声速粘性激波层方程数值计算时差分格式引起的物理失真问题。具体分析了全隐格式格式粘性的影响,并作了数值试验。为了验证隐式结果的可靠性。在超声速激波风洞中测量了钝锥的表面压力分布,并与计算结果作了比较,两者基本一致。 本文采用隐式有限差分法数值计算了高超声速化学非平衡粘性激波层绕细长球锥的流动。计算时采用连续方程和法向动量方程耦合求解的方法以解决细长体远后身区计算中的问题。应用网格技术和加强系数矩阵主对角元素优势的方法提高了化学非平衡流计算的雷诺数范围。文中给出了高超声速化学非平衡流的计算结果,并与其它文献的结果作了比较。

The problems of physical distortion due to the finite-difference scheme are studied in numerical solutions of the hypersonic viscous shock-layer equations. The schematic viscosity is discussed analytically and numerically. In order to check the reliability of the numerical results, an experiment is made to measure the surface pressure distribution for a blunt spherecone in hypersonic wind tunnel. The comparison shows that the numerical results agree well with the experimental data.The hypersonic nonequilibrium laminar flow over slender sphere-cone is calculated with implicit finite-difference scheme. The global continuity equation and normal momentum equation are solved in a coupled way. The grid technique is used, and the superiority of the elements on the main diagonal line of the matrix is strengthened the algorithm may be applied to high Reynolds number conditions as well as low Reynolds number conditions. The numerical results are presented and compared with those from other methods.