高分辨率压力修正算法在全速流动中的研究与应用

The Study and Application of High-Resolution Pressure Correction Algorithm for All Speed Flows

采用高分辨率压力修正算法求解任意马赫数下的流动情形。在非正交适体曲线坐标系下采用了同位网格下的有限体积方法对控制方程离散,并以速度的协变物理分量作为基本求解变量。对流项差分格式使用一致精度高分辨率有界差分格式(UHRBS),该格式绝对稳定,满足有界性,并且具有三阶计算精度。该算法结合高分变率有界差分格式称为高分辨率压力修正算法。计算表明方法具有一致的计算精度,能适合任意马赫数下流体的流动情形。

In this paper, high-resolution pressure correction algorithm is used for solving fluid flow at all speeds. The general transport equation is discretized using the finite volume methodology at the non-orthogonal boundary-fitted coordinate system and collocated grid arrangement, the covariant velocity projection components are selected as the dependent solving variables. The uniform high-resolution and bounded scheme （UHRBS） is used for convective difference scheme, and it is of stability, boundness and three-order accuracy. The method which used UHRBS is called high-resolution pressure correction algorithm. The computed result show that the method is considered maintaining uniform precision, and can simulate fluid flow for all mach numbers.