平面流动高精度算法的精度和瞬态模拟特性研究

【作者】 林雪纲；

【导师】 任安禄；

【作者基本信息】 浙江大学 ， 流体力学， 2002， 硕士

【摘要】 本文利用高精度分块耦合求解方法，对其瞬态时间精度和非定常时间发展解的跟随性问题进行了研究，同时也对包含边界条件的线法高精度格式的稳定性也作了分析，研究结果表明高精度的分块耦合求解方法可以很好地跟随Taylor问题的时间发展解，与单圆柱绕流和双圆柱绕流的实验结果比较以及他人结果比较符合很好，对升阻力系数在涡脱落时的脉动问题的结果优于他人结果。高精度格式的分块耦合求解方法的时间跟随性问题是受国内外关注的问题，通过本论文研究证实分块耦合求解方法完全可用于求解瞬态流动问题。 另外，本文对压力Poisson方程的差分求解方法做了较多的研究，探讨在Runge-Kutta法中如何实施压力解法，说明对Runge-Kutta法各步全都进行压力求解反而不及单步压力Poisson方程计算。更多还原

【Abstract】 The paper researches the transient time precision and the following problem of the results developing with time for 2-D high order blocking and matched method, at the same time, anlysing the stability of high order methods including boundary conditions. The results show that the domain decomposition and matched method using high order method can follow the time developing solution of Taylor problem well, the computation result of the flow over a single or two tandem arranging circular cylinder agree the experiment and others’ results well, moreover, the panting results of lift and drag coefficient are better than others. The time following problem is worthy of being noticed and the paper prove that DDM can be used to solve transient flow problem.On the other hand, the paper researches the solution of Poisson equation and studies how to solve the equation in the Runge-Kutta method. The result show it is better when solve the Poisson equation at the third step in Runge-Kutta method.更多还原