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On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids
Author(s) -
Franci Alessandro,
Oñate Eugenio,
Carbonell Josep Maria
Publication year - 2014
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4839
Subject(s) - tangent stiffness matrix , compressibility , finite element method , mathematics , tangent modulus , tangent , matrix (chemical analysis) , bulk modulus , convergence (economics) , mathematical analysis , rate of convergence , tangent space , modulus , stiffness matrix , geometry , materials science , computer science , physics , mechanics , engineering , structural engineering , computer network , channel (broadcasting) , economics , composite material , economic growth
Summary 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 © 2014 John Wiley & Sons, Ltd.