摘要
在贴体曲线坐标系中,本文提出了一个高分辨率的新格式,它是Steger-Warming的矢通量分裂与Harten的TVD(Total Variation Diminishing)格式的杂交,用于计算跨音速定常流动和捕获激波。典型的跨音速内流和叶栅流的算例表明:在60×15网格下捕获的激波过渡区不超过两个网格,证明其分辨率较高;分析激波附近的数值结果,没出现“低亏、过跳”、伪振荡现象;与实验结果的比较表明,对定常流在无人为附加耗散项的条件下它能给出较高质量无数值波动的激波流场解。
A new high-resolution hybrid implicit scheme for solving the unsteady Euter
flow equations to abtain steady solutions is provided in curvilinear coordinates. This scheme is mainly based on Steger-Warming' s implicit flux vector splitting technique and Harten' s numerical flux fura tion. With the hybrid scheme, we obtain the discrctized linear system with diagonally dominant coeff ctent matrix which enhances the convergence rate by use of the Line Gauss-Seidel relaxation procedure including backward and forward sweeps.
The numerical procedures were applied to three examples for steady transonic flows in a channel. Computational results shows the convergence rate is very high due to the very big time steps. The scheme is capable of obtaining weak solutions for system of hyperbolic conservation equations. It also can exclude expansion shocks and lead only to physically relevant solutions. The new algorithm reaches steady shock solutions on the-grid with a one or two point monotone transition.
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
1989年第3期237-240,共4页
Journal of Aerospace Power
