三维非定常粘性流动的数值方法及其应用

Numerical methods for 3 D unsteady viscous flow and their applications

提出了适用于模拟非定常三维粘性流动问题的数值计算体系，包括高速收敛稳定性好的新的ＬＵ型隐式格式，捕捉弱间断面和滑移面的高精度、高分辨率的改良型ＭＵＳＣＬＴＶＤ格式。将基于此数值模型而发展起来的非定常粘性流动通用软件应用于叶轮机械气动热力学计算，为研究内流粘性损失、激波和非定常尾涡干涉、三维分离流动，尤其为探明分离泡内部的涡结构打下了基础。

An efficient numerical method that contains the new LU type implicit scheme and the modified fourth order high resolution MUSCL TVD scheme is proposed for solving the compressible Navier Stokes equations. This numerical method has higher accuracy, higher resolution, better stability and faster convergency for the unsteady high speed viscous flow that contains the weak discontinuity like slip surface or contact surface. A three dimensional unsteady viscous solver based on the present method is developed and applied to the aerothermodynamic computation through turbomachinery. The present solver is especially suited for studying the loss mechanism, shock vortex interaction, three dimensional separated flow and vortex pattern within the separated bubble. And it also can be used for solving some practice problems.