TY - JOUR
T1 - A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems
AU - Masud, Arif
AU - Hughes, Thomas J.R.
N1 - Funding Information:
This researchw as supported by the U.S. Office of Naval Research under Contract N00014-88-K-0446.T he authorsg ratefully acknowledgeP rof. T.E. Tezduyar and Dr. Farzin Shakib for their helpful comments,D r. Zdenek Johan for numerousd iscussionsa bout the finite element program ENSA, Dr. Frederic Chalot for the use of his adaptivem eshg eneratora nd Dr. Kenneth Jansen for his projection algorithm.
PY - 1997/7/5
Y1 - 1997/7/5
N2 - A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations is presented for the analysis of free surface flows, moving spatial configurations and deforming fluid-structure interfaces. The variational equation is based on the time discontinuous Galerkin method employing the physical entropy variables. The space-time elements are oriented in time to accommodate the spatial deformations. If the elements are oriented along the particle paths, the formulation is Lagrangian and if they are fixed in time, it is Eulerian. Consequently this formulation is analogous to the arbitrary Lagrangian-Eulerian (ALE) technique. A novel mesh rezoning strategy is presented to orient the elements in time and adapt the fluid mesh to the changing spatial configuration. Numerical results are presented to show the performance of the method.
AB - A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations is presented for the analysis of free surface flows, moving spatial configurations and deforming fluid-structure interfaces. The variational equation is based on the time discontinuous Galerkin method employing the physical entropy variables. The space-time elements are oriented in time to accommodate the spatial deformations. If the elements are oriented along the particle paths, the formulation is Lagrangian and if they are fixed in time, it is Eulerian. Consequently this formulation is analogous to the arbitrary Lagrangian-Eulerian (ALE) technique. A novel mesh rezoning strategy is presented to orient the elements in time and adapt the fluid mesh to the changing spatial configuration. Numerical results are presented to show the performance of the method.
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U2 - 10.1016/S0045-7825(96)01222-4
DO - 10.1016/S0045-7825(96)01222-4
M3 - Article
AN - SCOPUS:0031554613
SN - 0045-7825
VL - 146
SP - 91
EP - 126
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
IS - 1-2
ER -