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- W2030703553 abstract "In this paper we present a new family of methods for the effective numerical solution of the incompressible unsteady Navier--Stokes equations. These methods resort to an algebraic splitting of the discretized problem based on inexact LU block factorizations of the corresponding matrix (following [A. Quarteroni, F. Saleri, and A. Veneziani, Comput. Methods Appl. Mech. Engrg., 188 (2000), pp. 505--526]. In particular, we will start from inexact algebraic factorizations of algebraic Chorin--Temam and Yosida type and introduce a pressure correction step aimed at improving the time accuracy. One of the schemes obtained in this way (the algebraic Chorin--Temam pressure correction method) resembles a method previously introduced in the framework of differential projection schemes (see [L. Timmermans, P. Minev, and F. V. de Vosse, Internat. J. Numer. Methods Fluids, 22 (1996), pp. 673--688], [A. Prohl, Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier--Stokes Equations, Teubner, Stuttgart, 1997]. The stability and the dependence of splitting error on the time step of the new methods is investigated and tested on several numerical cases." @default.
- W2030703553 created "2016-06-24" @default.
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- W2030703553 date "2005-01-01" @default.
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- W2030703553 title "Pressure Correction Algebraic Splitting Methods for the Incompressible Navier--Stokes Equations" @default.
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- W2030703553 doi "https://doi.org/10.1137/s0036142903435429" @default.
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