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Memorias de investigación
Artículos en revistas:
Stability of projection methods for incompressible flows using high order pressure-velocity pairs of same degree: Continuous and Discontinuous Galerkin formulations
Año:2014
Áreas de investigación
  • Física química y matemáticas,
  • Dinamica de fluidos,
  • Ingenierías
Datos
Descripción
This paper presents limits for stability of projection type schemes when using high order pressure-velocity pairs of same degree. Two high order h/p variational methods encompassing continuous and discontinuous Galerkin formulations are used to explain previously observed lower limits on the time step for projection type schemes to be stable [18], when h- or p-refinement strategies are considered. In addition, the analysis included in this work shows that these stability limits do not depend only on the time step but on the product of the latter and the kinematic viscosity, which is of particular importance in the study of high Reynolds number flows. We show that high order methods prove advantageous in stabilising the simulations when small time steps and low kinematic viscosities are used. Drawing upon this analysis, we demonstrate how the effects of this instability can be reduced in the discontinuous scheme by introducing a stabilisation term into the global system. Finally, we show that these lower limits are compatible with Courant-Friedrichs-Lewy (CFL) type restrictions, given that a sufficiently high polynomial order or a mall enough mesh spacing is selected.
Internacional
Si
JCR del ISI
Si
Título de la revista
Communications in Computational Physics
ISSN
1815-2406
Factor de impacto JCR
1,775
Información de impacto
CiCP''s most recent SCI impact factor (2013) is 1.775. It is ranked #15 among the 55 mathematical physics journals. CiCP''s impact factor (2012) is 1.863. It is ranked #12 among the 55 mathematical physics journals. CiCP''s SCI impact factor for 2010 is 1.835. It is ranked #9 among the 56 mathematical physics journals. It is also ranked #10 among all SCI journals in China. CiCP''s 2009 SCI impact factor was 2.077 and was ranked #8 among the 47 mathematical physics journals.
Volumen
16
DOI
10.4208/cicp.290114.170414a
Número de revista
Desde la página
817
Hasta la página
840
Mes
JULIO
Ranking
Esta actividad pertenece a memorias de investigación
Participantes
  • Autor: Esteban Ferrer Vaccarezza (UPM)
Grupos de investigación, Departamentos, Centros e Institutos de I+D+i relacionados
  • Creador: Grupo de Investigación: Métodos y Aplicaciones Numéricas a la Tecnología Aeroespacial
  • Departamento: Matemática Aplicada a la Ingeniería Aeroespacial
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