基于高阶和高分辨率格式的自然空泡流数值模拟

Numerical simulation of natural cavitation flow based on high-order and high-resolution schemes

基于有限体积通量修正,应用了一类高阶迎风对流格式:二阶迎风格式、二次迎风插值格式、三次迎风插值格式及带TVD限制器的高分辨率格式,对于自然空泡湍流流动的数值计算方法进行了研究。计算模型为轴对称圆盘,计算结果表明所有高阶格式都能有效抑制一阶迎风格式产生的假扩散,并得到了更薄,更"透明"的汽-液界面,其中高分辨率TVD格式最好地捕捉到了空泡界面附近物理量的阶跃特性。

Based on flux correction, a class of Higher Order Convection Scheme including the second-order upwind difference scheme, the quadratic interpolation for convective kinematics, the cubic upwind interpolation scheme and high-resolution total variation diminishing schemes （TVD） were constructed to study the numerical method for the natural turbulent cavitating flows. They were applied and assessed for cavitating flows over an axisymmetric disk. The calculation results show that the high-order schemes can effectively suppress the false diffusion which the first-order upwind scheme exhibited and obtained thinner and glossier liquid/vapor interface, in which the TVD scheme features the best to captured the discontinuity of variables at the liquid/vapor interface.