An overview of projection methods for incompressible flows
A series of numerical issues related to the analysis and implementation of fractional step methods for incompressible flows are addressed in this paper. These methods are often referred to in the literature as projection methods, and can be classified into three classes, namely the pressure-correcti...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2006-09, Vol.195 (44), p.6011-6045 |
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| container_issue | 44 |
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| container_title | Computer methods in applied mechanics and engineering |
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| creator | Guermond, J.L. Minev, P. Shen, Jie |
| description | A series of numerical issues related to the analysis and implementation of fractional step methods for incompressible flows are addressed in this paper. These methods are often referred to in the literature as projection methods, and can be classified into three classes, namely the pressure-correction methods, the velocity-correction methods, and the consistent splitting methods. For each class of schemes, theoretical and numerical convergence results available in the literature are reviewed and open questions are discussed. The essential results are summarized in a table which could serve as a useful reference to numerical analysts and practitioners. |
| doi_str_mv | 10.1016/j.cma.2005.10.010 |
| format | Article |
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| source | Elsevier ScienceDirect Journals |
| subjects | Computational techniques Exact sciences and technology Finite elements Fluid dynamics Fractional step methods Fundamental areas of phenomenology (including applications) General theory Incompressibility Mathematical methods in physics Navier–Stokes equations Physics Projection methods Spectral approximations |
| title | An overview of projection methods for incompressible flows |
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