Flow computation with the Space-Time Isogeometric Analysis and higher-order basis functions in time

Yang Liu, Kenji Takizawa*, Yuto Otoguro, Takashi Kuraishi, Tayfun E. Tezduyar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
JournalMathematical Models and Methods in Applied Sciences
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • higher-order functions in time
  • local length scales and stabilization parameters
  • Space-Time Isogeometric Analysis (ST-IGA)
  • Space-Time Variational Multiscale method
  • ST-VMS

ASJC Scopus subject areas

  • Modelling and Simulation
  • Applied Mathematics

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