TY - JOUR
T1 - On stabilized formulations for incompressible navier-stokes equations based on multi-scale decomposition formalism
AU - Turner, D. Z.
AU - Nakshatrala, K. B.
AU - Hjelmstad, Keith
N1 - Funding Information:
The authors wish health and happiness to Profes-11. sor J. N. Reddy, to whom this aricle is dedicated on the occasion of his 65th birthday. The first author (D. Z. Turner) was supported in part by Sandia National Laboratories. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000. The second author (K. B. Naksha-trala) acknowledges the financial support given by the Texas Engineering Experiment Station (TEES). The opinions expressed in this article are those of the authors and do not necessarily reflect that of the sponsors. The authors would also like to thank Professor Arif Masud for stimulating discussions.
PY - 2012/1/1
Y1 - 2012/1/1
N2 - In this paper, we present a new stabilized mixed formulation for incompressible Navier-Stokes equations under which the equal-order interpolation for velocity and pressure is stable. The derivation is based on the variational multiscale formalism and consistent linearization. We compare the proposed formulation with another variant of stabilized formulation, which has been recently proposed and is based on the variational multiscale formalism. In particular, we show that the proposed formulation has better accuracy, and converges in fewer iterations for several representative test problems. We illustrate the robustness of the proposed formulation on a test problem of Reynolds number up to 5,000.
AB - In this paper, we present a new stabilized mixed formulation for incompressible Navier-Stokes equations under which the equal-order interpolation for velocity and pressure is stable. The derivation is based on the variational multiscale formalism and consistent linearization. We compare the proposed formulation with another variant of stabilized formulation, which has been recently proposed and is based on the variational multiscale formalism. In particular, we show that the proposed formulation has better accuracy, and converges in fewer iterations for several representative test problems. We illustrate the robustness of the proposed formulation on a test problem of Reynolds number up to 5,000.
KW - Navier-Stokes equations
KW - incompressibility constraint
KW - multiscale formulation
KW - stabilization parameter
KW - stabilized finite elements
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U2 - 10.1080/15502287.2011.572113
DO - 10.1080/15502287.2011.572113
M3 - Article
AN - SCOPUS:84859181816
SN - 1537-6494
VL - 19
SP - 216
EP - 232
JO - Mechanics of Advanced Materials and Structures
JF - Mechanics of Advanced Materials and Structures
IS - 1-3
ER -