Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 195, Issue 44-47, Pages 6011-6045Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2005.10.010
Keywords
Navier-Stokes equations; projection methods; fractional step methods; incompressibility; finite elements; spectral approximations
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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. Published by Elsevier B.V.
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