Solution of Incompressible Flow Equations by a High-Order Term-by-Term Stabilized Method

Tomás Chacón Rebollo (), Macarena Gómez Mármol () and Isabel Sánchez Muñoz ()
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Tomás Chacón Rebollo: Universidad de Sevilla. Facultad de Matemáticas. C/ Tarfia, Dpto. de Ecuaciones Diferenciales y Análisis Numérico
Macarena Gómez Mármol: Universidad de Sevilla. Facultad de Matemáticas. C/ Tarfia, Dpto. de Ecuaciones Diferenciales y Análisis Numérico
Isabel Sánchez Muñoz: Escuela Universitaria de Ingeniería Técnica de Agrícola, Dpto. de Matemática Aplicada I

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 253-260 from Springer

Abstract: Abstract This paper introduces a high-order easy-to-implement stabilized method for the numerical solution of convection-diffusion and incompressible flows. We obtain stable discretizations of equal-order interpolation of velocity and pressure, as is usual for stabilized methods. The penalty terms have a projection structure that allows to obtain a high order method. We present stability analysis and error estimates results for Oseen equations with Neumann boundary data with general Finite Element discretizations, and for Dirichlet boundary data with P2–P2 discretization and P1 projection. We also present some numerical tests that confirm the theoretical expectations.

Keywords: Neumann Boundary Condition; Interpolation Operator; High Order Method; Finite Element Space; Oseen Equation (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_26

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DOI: 10.1007/978-3-642-11795-4_26

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