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首页> 外文会议>American Society of Mechanical Engineers(ASME) Heat Transfer/Fluids Engineering Summer Conference 2004(HT/FED 2004) vol.2 pt.A; 20040711-15; Charlotte,NC(US) >AN ADAPTIVE WAVELET METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN COMPLEX DOMAINS
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AN ADAPTIVE WAVELET METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS IN COMPLEX DOMAINS

机译：复杂域中不可压缩Navier-Stokes方程的自适应小波方法

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摘要

An adaptive wavelet-based method provides an alternative means to refine grids according to local demands of the physical solution. One of the prominent challenges of such a method is the application to problems defined on complex domains. In the case of incompressible flow, the application to problems with complicated domains is made possible by the use of the Navier-Stokes/Brinkman equations. These equations take into account solid obstacles by adding a penalized velocity term in the momentum equation. In this study, an adaptive wavelet collocation method, based on interpolating wavelets, is first applied to a benchmark problem defined on a simple domain to demonstrate the accuracy and efficiency of the method. Then the penalty technique is used to simulate flows over obstacles. The numerical results are compared with those obtained by other computational approaches as well as with experiments.
机译：基于自适应小波的方法提供了根据物理解决方案的局部需求来细化网格的替代方法。这种方法的主要挑战之一是对复杂域中定义的问题的应用。在不可压缩流的情况下，通过使用Navier-Stokes / Brinkman方程，可以将其应用于具有复杂域的问题。这些方程通过在动量方程中添加惩罚速度项来考虑固体障碍。在这项研究中，基于插值小波的自适应小波配置方法首先应用于在简单域上定义的基准问题，以证明该方法的准确性和效率。然后使用惩罚技术来模拟障碍物上的流动。将数值结果与通过其他计算方法以及实验获得的结果进行比较。

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