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首页> 外文期刊>Journal of Computational Physics >TETRAHEDRAL HP FINITE ELEMENTS - ALGORITHMS AND FLOW SIMULATIONS
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TETRAHEDRAL HP FINITE ELEMENTS - ALGORITHMS AND FLOW SIMULATIONS

机译:四面体HP有限元-算法和流量模拟

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We present a new discretisation for the incompressible Navier-Stokes equations that extends spectral methods to three-dimensional complex domains consisting of tetrahedral subdomains. The algorithm is based on standard concepts of hp finite elements as well as tensorial spectral elements. This new formulation employs a hierarchical/modal basis constructed from a new apex co-ordinate system which retains a generalised tensor product. These properties enable the development of computationally efficienct algorithms for use on standard finite volume unstructured meshes. A detailed analysis is presented that documents the stability and exponential convergence of the method and several flow cases are simulated and compared with analytical and experimental results. (C) 1996 Academic Press, Inc. [References: 33]
机译:我们为不可压缩的Navier-Stokes方程提供了一种新的离散化方法,该方法将频谱方法扩展到由四面体子域组成的三维复杂域。该算法基于hp有限元和张量谱元素的标准概念。这种新的公式采用了从新的顶点坐标系构造的层次/模态基础,该顶点坐标系保留了广义张量积。这些特性使得能够开发用于标准有限体积非结构化网格的计算有效算法。进行了详细的分析,记录了该方法的稳定性和指数收敛性,并模拟了几种流动情况,并与分析和实验结果进行了比较。 (C)1996 Academic Press,Inc. [参考:33]

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