On a modification of GLS stabilized FEM for solving incompressible viscous flows
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Cites background from "On a modification of GLS stabilized..."
...For details concerning the solver and issues of extending its stability for high Reynolds numbers, see [2, 3, 7, 8]....
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Cites methods from "On a modification of GLS stabilized..."
...square of the incompressible constraint (LSIC) term was excluded from the GLS formulation studied in [20], this formulation was later referred to as the semi-GLS formulation by Burda et al. [ 21 ] .F or the SUPG/PSPG formulation with LSIC term, Tezduyar and Osawa [22] calculated the stabilization parameters from element matrices and vectors, which automatically accounted for the local length scale, an advection field and the Reynolds number....
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...While the introduction of LSIC was described in [ 21 ] as ‘disastrous’, where Taylor‐Hood elements of P2P1 or Q2P1 that satisfy the Babuska‐Brezzi condition, we do not reach the same conclusion in the present study as the introduction of the LSIC term leads to slightly more accurate solutions (Table VI) without much effect on the convergence rate (Figure 5). While the relatively small impact of that term on the solution might justify its ......
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Cites background or methods or result from "On a modification of GLS stabilized..."
...Unsteady flow past NACA 0012 airfoil was investigated in [ 3 ] as a practical application....
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...In [ 3 ] the results of Guermond and Quartapelle [5] were compared to ours obtained by the semiGLS algorithm....
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...In our paper [ 3 ] we modified the GLS method introduced in [7]....
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...Here Vh,Qh mean Hood-Taylor element spaces, is positive stabilization parameter (more details in [ 3 ])....
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...Applying stabilization to the momentum equation (1) and adding the continuity equation (2), we introduced in [ 3 ] the stabilized algorithm that we call semi-GLS:...
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