适用于超声速流场计算的有限体积紧致算法

结合紧致格式与有限体积法两者的优点,提出了一种基于有限体积的紧致算法.采用特征处理的通量限制方法抑制紧致格式在间断附近的非物理振荡,将该算法应用于航天领域超声速流场的数值模拟.通过计算典型算例,并与其他格式计算结果进行对比,证明了该算法能够无振荡捕捉各种间断,且对波系结构的刻画最为锐利,并能够精细分辨小尺度流场结构,计算结果与精确解最为接近. 

Finite volume compact algorithm suited to computation of supersonic flow field

In order to combine the advantages, a compact scheme based on finite volume method was developed. A characteristic limiter was used to prevent non-physical oscillations across discontinuity, so the scheme was suited to simulate supersonic flows in aerospace flight. The performance of the scheme was assessed by computing several typical problems. Numerical results reveal that the present scheme can capture discontinuities with few oscillations and simulate various waves sharplybesides, the scheme is able to distinguish small-scale flow structures clearly, and the results solved by the scheme are highly consistent with exact solutions.