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将基于Godunov方法的高阶离散格式应用于两流体模型的数值求解。采用数值标准题进行验证,比较分析了迎风、MUSCL、无振荡格式(ENO)、Ultra-Bee等格式的计算结果。结果表明:高阶离散格式很好地改善了数值粘性,明显优于迎风格式;ENO格式略优于MUSCL格式,但是ENO格式较复杂,计算代价大;Ultra-Bee格式能很好地模拟不连续处,但是对于连续处,需要足够多的网格,才能得到可接受的计算结果。
The high-order discrete-time scheme based on Godunov method is applied to the numerical solution of two fluid models. Numerical standard questions are used to verify the results. Windward, MUSCL, ENO, Ultra-Bee and other formats are compared and analyzed. The results show that the high-order discrete scheme improves the numerical viscosity better than the upwind scheme. The ENO scheme is slightly better than the MUSCL scheme. However, the ENO scheme is more complex and computationally expensive. The Ultra-Bee scheme can well simulate discontinuities However, for continuous points, enough grids are needed to get acceptable results.