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Título:
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On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids
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Autor/a:
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Franci, Alessandro; Oñate Ibáñez de Navarra, Eugenio; Carbonell Puigbó, Josep Maria
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Otros autores:
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Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria; Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria; Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria |
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Abstract:
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The purpose of this paper is to study the effect of the bulk modulus on the iterative solution of free surface quasi-incompressible fluids using a mixed partitioned scheme. A practical rule to set up the value of a pseudo-bulk modulus a priori in the tangent bulk stiffness matrix for improving the conditioning of the linear system of algebraic equations is also given. The efficiency of the proposed strategy is tested in several problems analyzing the advantage of the modified bulk tangent matrix with regard to the stability of the pressure field, the convergence rate and the computational speed of the analyses. The technique has been tested on a finite calculus/particle finite element method Lagrangian formulation, but it can be easily extended to other quasi-incompressible stabilized finite element formulations. Copyright (C) 2014 John Wiley & Sons, Ltd. |
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Abstract:
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Peer Reviewed |
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Materia(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
-Navier-Stokes equations
-Fluid mechanics
-quasi-incompressible fluid
-bulk modulus
-mass conservation
-ill-conditioning
-finite calculus
-finite element method
-particle finite element method
-partitioned scheme
-finite-element-method
-saddle-point problems
-lagrangian-formulation
-numerical-solution
-flow problems
-simulation
-calculus
-equations
-pfem
-Equacions de Navier-Stokes
-Mecànica de fluids |
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Derechos:
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Tipo de documento:
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Artículo - Versión presentada
Artículo |
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Editor:
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John Wiley & Sons
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Compartir:
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