TY - JOUR
T1 - Improving stability of stabilized and multiscale formulations in flow simulations at small time steps
AU - Hsu, Ming-Chen
AU - Bazilevs, Yuri
AU - Calo, Victor M.
AU - Tezduyar, Tayfun E.
AU - Hughes, Thomas Jr R
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: We wish to thank the Texas Advanced Computing Center (TACC) at the University of Texas at Austin for providing HPC resources that have contributed to the research results reported within this paper. Support of Teragrid Grant No. MCAD7S032 is also gratefully acknowledged.
PY - 2010/2
Y1 - 2010/2
N2 - The objective of this paper is to show that use of the element-vector-based definition of stabilization parameters, introduced in [T.E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Methods Fluids 43 (2003) 555-575; T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430], circumvents the well-known instability associated with conventional stabilized formulations at small time steps. We describe formulations for linear advection-diffusion and incompressible Navier-Stokes equations and test them on three benchmark problems: advection of an L-shaped discontinuity, laminar flow in a square domain at low Reynolds number, and turbulent channel flow at friction-velocity Reynolds number of 395. © 2009 Elsevier B.V. All rights reserved.
AB - The objective of this paper is to show that use of the element-vector-based definition of stabilization parameters, introduced in [T.E. Tezduyar, Computation of moving boundaries and interfaces and stabilization parameters, Int. J. Numer. Methods Fluids 43 (2003) 555-575; T.E. Tezduyar, Y. Osawa, Finite element stabilization parameters computed from element matrices and vectors, Comput. Methods Appl. Mech. Engrg. 190 (2000) 411-430], circumvents the well-known instability associated with conventional stabilized formulations at small time steps. We describe formulations for linear advection-diffusion and incompressible Navier-Stokes equations and test them on three benchmark problems: advection of an L-shaped discontinuity, laminar flow in a square domain at low Reynolds number, and turbulent channel flow at friction-velocity Reynolds number of 395. © 2009 Elsevier B.V. All rights reserved.
UR - http://hdl.handle.net/10754/561440
UR - https://linkinghub.elsevier.com/retrieve/pii/S0045782509002254
UR - http://www.scopus.com/inward/record.url?scp=74049159510&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2009.06.019
DO - 10.1016/j.cma.2009.06.019
M3 - Article
SN - 0045-7825
VL - 199
SP - 828
EP - 840
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 13-16
ER -