On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids

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dc.contributor	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor	Universitat Politècnica de Catalunya. Departament de Resistència de Materials i Estructures a l'Enginyeria
dc.contributor	Universitat Politècnica de Catalunya. GMNE - Grup de Mètodes Numèrics en Enginyeria
dc.contributor	Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
dc.contributor.author	Franci, Alessandro
dc.contributor.author	Oñate Ibáñez de Navarra, Eugenio
dc.contributor.author	Carbonell Puigbó, Josep Maria
dc.date	2015-04
dc.identifier.citation	Franci, A., Oñate, E., Carbonell, J.M. On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids. "International journal for numerical methods in engineering", Abril 2015, vol. 102, núm. 3-4, p. 257-277.
dc.identifier.citation	0029-5981
dc.identifier.citation	10.1002/nme.4839
dc.identifier.uri	http://hdl.handle.net/2117/86862
dc.language.iso	eng
dc.publisher	John Wiley & Sons
dc.relation	http://onlinelibrary.wiley.com/doi/10.1002/nme.4839/abstract
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
dc.subject	Navier-Stokes equations
dc.subject	Fluid mechanics
dc.subject	quasi-incompressible fluid
dc.subject	bulk modulus
dc.subject	mass conservation
dc.subject	ill-conditioning
dc.subject	finite calculus
dc.subject	finite element method
dc.subject	particle finite element method
dc.subject	partitioned scheme
dc.subject	finite-element-method
dc.subject	saddle-point problems
dc.subject	lagrangian-formulation
dc.subject	numerical-solution
dc.subject	flow problems
dc.subject	simulation
dc.subject	calculus
dc.subject	equations
dc.subject	pfem
dc.subject	Equacions de Navier-Stokes
dc.subject	Mecànica de fluids
dc.title	On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	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.
dc.description.abstract	Peer Reviewed

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