TY - JOUR
T1 - Space-time VMS methods for modeling of incompressible flows at high reynolds numbers
AU - Takizawa, Kenji
AU - Montes, Darren
AU - McIntyre, Spenser
AU - Tezduyar, Tayfun E.
N1 - Funding Information:
This work was supported by ARO Grants W911NF-09-1-0346 and W911NF-12-1-0162 (fourth author) and Rice–Waseda research agreement (first author). It was also supported in part by the Program to Disseminate Tenure Tracking System, Ministry of Education, Culture, Sports, Science and Technology, Japan.
PY - 2013/2
Y1 - 2013/2
N2 - Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.
AB - Deforming-Spatial-Domain/Stabilized Space-Time (DSD/SST) formulation was developed for flow problems with moving interfaces and has been successfully applied to some of the most complex problems in that category. A new version of the DSD/SST method for incompressible flows, which has additional subgrid-scale representation features, is the space-time version of the residual-based variational multiscale (VMS) method. This new version, called DSD/SST-VMST and also Space-Time VMS (ST-VMS), provides a more comprehensive framework for the VMS method. We describe the ST-VMS method, including the embedded stabilization parameters, and assess its performance in computation of flow problems at high Reynolds numbers by comparing the results to experimental data. The computations, which include those with 3D airfoil geometries and spacecraft configurations, signal a promising future for the ST-VMS method.
KW - Airfoil geometries
KW - DSD/SST formulation
KW - DSD/SST-VMST method
KW - High Reynolds numbers
KW - Incompressible flows
KW - Space-time VMS method
KW - Spacecraft configurations
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U2 - 10.1142/S0218202513400022
DO - 10.1142/S0218202513400022
M3 - Article
AN - SCOPUS:84872416738
SN - 0218-2025
VL - 23
SP - 223
EP - 248
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
IS - 2
ER -