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- W2022110894 abstract "Abstract A new method for solving the steady-state incompressible Navier-Stokes equations in primitive variable form is presented. The approach uses finite difference operators for the convective terms within the framework of a penalty finite element method. The technique is shown to be computationally very efficient. Indeed, not only does the penalty function method remove one degree of liberty per node, but also the special treatment given to the nonlinear terms yields a global coefficient matrix that is both symmetric and banded. Both storage needs and calculation time are reduced tremendously. Furthermore, for all flow cases tested, the authors have been able to reach a convergent and stable solution up to Reynolds number of the order of those normally attained by “conventional” finite element models using an identical space discretisation. Results are given for the popular benchmark problem of the driven cavity, as well as for a practical application in the Port of Montreal." @default.
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- W2022110894 date "1991-12-01" @default.
- W2022110894 modified "2023-10-14" @default.
- W2022110894 title "An efficient finite element incompressible Navier-Stokes solver that approximates nonlinear terms with finite differences" @default.
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