TY - JOUR
T1 - Finite element stabilization parameters computed from element matrices and vectors
AU - Tezduyar, Tayfun E.
AU - Osawa, Yasuo
N1 - Funding Information:
The work reported in this paper was partially sponsored by NASA JSC (grant no. NAG9-1059), AFOSR (contract no. F49620-98-1-0214), NSF (grant no. CTS-9896278), and by the AHPCRC under the auspices of the Department of the Army, ARL cooperative agreement no. DAAH04-95-2-0003 and contract no. DAAH04-95-C-0008. The content does not necessarily reflect the position or the policy of the government, and no official endorsement should be inferred. The second author has been supported by the Bridgestone Corp.
PY - 2000/10/27
Y1 - 2000/10/27
N2 - We propose new ways of computing the stabilization parameters used in the stabilized finite element methods such as the streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) formulations. The parameters are computed based on the element-level matrices and vectors, which automatically take into account the local length scales, advection field and the Reynolds number. We describe how we compute these parameters in the context of first a time-dependent advection-diffusion equation and then the Navier-Stokes equations of unsteady incompressible flows.
AB - We propose new ways of computing the stabilization parameters used in the stabilized finite element methods such as the streamline-upwind/Petrov-Galerkin (SUPG) and pressure-stabilizing/Petrov-Galerkin (PSPG) formulations. The parameters are computed based on the element-level matrices and vectors, which automatically take into account the local length scales, advection field and the Reynolds number. We describe how we compute these parameters in the context of first a time-dependent advection-diffusion equation and then the Navier-Stokes equations of unsteady incompressible flows.
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U2 - 10.1016/S0045-7825(00)00211-5
DO - 10.1016/S0045-7825(00)00211-5
M3 - Article
AN - SCOPUS:0034287411
VL - 190
SP - 411
EP - 430
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0374-2830
IS - 3-4
ER -