不可压流的两种有限谱元法计算的开题报告VIP专享

精品文档---下载后可任意编辑不可压流的两种有限谱元法计算的开题报告摘要：本文主要介绍了两种有限谱元法计算不可压流的方法：邮政综合有限谱元方法和波定族有限谱元方法。这两种方法都基于谱元法的思想，将物理量展开为一组基函数的加权和，并采纳数值积分的方式求解离散方程组。邮政综合有限谱元方法是一种单元自适应的有限谱元方法，该方法中的基函数可以精确表示任意阶的解，并且可以处理较复杂的流体动力学问题。该方法在计算不可压流中具有很好的数值稳定性和高精度。波定族有限谱元方法是一种在构建数值解时利用正交多项式的有限谱元方法，该方法中的基函数具有类似于无限单元的性质，并且在其定义域内具有渐近性质。该方法在高雷诺数的不可压流计算中具有很好的数值稳定性和高精度。本文通过理论分析和数值实验阐述了两种有限谱元方法的特点、优缺点以及适用范围，并对其在不同问题中的应用进行了评价。在最后，两种方法的后续讨论方向也进行了探讨。关键词：有限谱元法；邮政综合有限谱元方法；波定族有限谱元方法；不可压流计算。Abstract:This article mainly introduces two methods of finite spectral element method for calculating incompressible flow: postal comprehensive spectral element method and wavelet spectral element method. Both of these methods are based on the idea of spectral element method, which expands the physical quantity as a weighted sum of a group of basis functions and uses numerical integration to solve the discrete equation group.The postal comprehensive spectral element method is an adaptive element finite spectral element method, in which the basis function can accurately represent any order of solution, and can deal with more complex fluid dynamics problems. The method has good numerical stability and high accuracy in calculating incompressible flow.The wavelet spectral element method is a finite spectral element method that uses orthogonal polynomials to construct numerical solutions. The basis functions in this method have properties similar to infinite elements and ...