TY - JOUR
T1 - Flow computation with the Space-Time Isogeometric Analysis and higher-order basis functions in time
AU - Liu, Yang
AU - Takizawa, Kenji
AU - Otoguro, Yuto
AU - Kuraishi, Takashi
AU - Tezduyar, Tayfun E.
N1 - Funding Information:
This work was supported in part by International Technology Center Indo-Pacific (ITC IPAC) Contract FA520921C0010; Grant-in-Aid for Scientific Research (A) 18H04100 from Japan Society for the Promotion of Science; and Rice-Waseda research agreement.
Publisher Copyright:
© 2022 World Scientific Publishing Company.
PY - 2022/11/1
Y1 - 2022/11/1
N2 - 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.
AB - 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.
KW - ST-VMS
KW - Space-Time Isogeometric Analysis (ST-IGA)
KW - Space-Time Variational Multiscale method
KW - higher-order functions in time
KW - local length scales and stabilization parameters
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U2 - 10.1142/S0218202522500579
DO - 10.1142/S0218202522500579
M3 - Article
AN - SCOPUS:85139250737
SN - 0218-2025
VL - 32
SP - 2445
EP - 2475
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 12
ER -