Flow Computation with the Space-Time Isogeometric Analysis and Higher-Order Basis Functions in Time
Flow Computation with the Space-Time Isogeometric Analysis and Higher-Order Basis Functions in Time
复制标题
时空等几何分析和高阶时间基函数的流计算
DOI：
10.1142/s0218202522500579
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发表时间：
2022
影响因子：
3.5
通讯作者：
and T. E.Tezduyar
中科院分区：
文献类型：
--
作者：
Y.Liu;K.Takizawa;Y.Otoguro;T.Kuraishi;and T. E.Tezduyar
我们目前的方法评估不可压缩流计算与时空等几何分析（ST-IGA）和高阶基函数的时间。计算方法平台由ST变分多尺度（ST-VMS）方法，ST-IGA与伊加在空间和时间上的基函数，以及局部长度尺度和稳定参数等几何离散化。计算是针对雷诺数为100的圆柱绕流的二维流场，该流场具有易于辨别的旋涡脱落频率和广泛发表的升力系数、阻力系数和Strouhal数。我们计算与二次基函数在空间和多项式的1，2，3，4在时间上，为四个不同的时间步长大小，并与六个不同的稳定参数的表达式。计算产生了一套全面的方法评估数据，可以作为参考。它们还显示了在时间上使用高阶函数的计算成本效率。
We present method-evaluation incompressible-flow computations with Space–Time Isogeometric Analysis (ST-IGA) and higher-order basis functions in time. The computational-methods platform is made of the ST Variational Multiscale (ST-VMS) method, the ST-IGA with IGA basis functions in space and time, and local length scales and stabilization parameters targeting isogeometric discretization. The computations are for 2D flow past a circular cylinder at Reynolds number 100, which has an easily discernible vortex shedding frequency and widely published lift and drag coefficients and Strouhal number. We compute with quadratic basis functions in space and polynomial orders of 1, 2, 3, and 4 in time, for four different time-step sizes, and with six different sets of expressions for the stabilization parameters. The computations yield a comprehensive set of method-evaluation data that can serve as reference. They also show computational-cost efficiency in using higher-order functions in time.