Mohapatra, Subhashree and Ganesan, Sashikumaar (2016) A Non-Conforming Least Squares Spectral Element Formulation for Oseen Equations with Applications to Navier-Stokes Equations. In: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 37 (10). pp. 1295-1311.
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In this article, we propose a non-conforming exponentially accurate least-squares spectral element method for Oseen equations in primitive variable formulation that is applicable to both two- and three-dimensional domains. First-order reformulation is avoided, and the condition number is controlled by a suitable preconditioner for velocity components and pressure variable. A preconditioned conjugate gradient method is used to obtain the solution. Navier-Stokes equations in primitive variable formulation have been solved by solving a sequence of Oseen type iterations. For numerical test cases, similar order convergence has been achieved for all Reynolds number cases at the cost of higher iteration number for higher Reynolds number.
| Item Type: | Journal Article |
|---|---|
| Publication: | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION |
| Additional Information: | Copy right for this article belongs to the TAYLOR & FRANCIS INC, 530 WALNUT STREET, STE 850, PHILADELPHIA, PA 19106 USA |
| Department/Centre: | Division of Interdisciplinary Sciences > Computational and Data Sciences |
| Date Deposited: | 03 Dec 2016 09:52 |
| Last Modified: | 29 Oct 2018 15:32 |
| URI: | http://eprints.iisc.ac.in/id/eprint/55373 |
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