A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis
A stabilized finite element method for the incompressible Navier–Stokes equations using a hierarchical basis
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DOI：
10.1002/1097-0363(20010115)35:1
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发表时间：
2001-01
影响因子：
1.8
通讯作者：
C. Whiting;K. Jansen
中科院分区：
文献类型：
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作者：
C. Whiting;K. Jansen
稳定化有限元方法已被证明可以对层流和湍流的可压缩和不可压缩Navier-Stokes方程产生鲁棒、精确的数值解。本工作的重点是应用高阶，分层基函数的不可压缩Navier-Stokes方程使用稳定的有限元方法。它示出的各种问题，最具成本效益的模拟（在CPU时间，内存和磁盘存储方面），可以得到使用高阶基函数相比，传统的线性基础。此外，算法将提出有效的执行这些方法在传统的有限元数据结构
Stabilized finite element methods have been shown to yield robust, accurate numerical solutions to both the compressible and incompressible Navier-Stokes equations for laminar and turbulent flows. The present work focuses on the application of higher-order, hierarchical basis functions to the incompressible Navier-Stokes equations using a stabilized finite element method. It is shown on a variety of problems that the most cost-effective simulations (in terms of CPU time, memory, and disk storage) can be obtained using higher-order basis functions when compared with the traditional linear basis. In addition, algorithms will be presented for the efficient implementation of these methods within the traditional finite element data structures