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

Author
Franci, A.; Oñate, E.; Carbonell, J.M.
Type of activity
Journal article
Journal
International journal for numerical methods in engineering
Date of publication
2015-04
Volume
102
Number
3-4
First page
257
Last page
277
DOI
https://doi.org/10.1002/nme.4839 Open in new window
Repository
http://hdl.handle.net/2117/86862 Open in new window
URL
http://onlinelibrary.wiley.com/doi/10.1002/nme.4839/abstract Open in new window
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...
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.
Keywords
bulk modulus, calculus, equations, finite calculus, finite element method, finite-element-method, flow problems, ill-conditioning, lagrangian-formulation, mass conservation, numerical-solution, particle finite element method, partitioned scheme, pfem, quasi-incompressible fluid, saddle-point problems, simulation
Group of research
(MC)2 - UPC Computational continuum mechanics
GMNE - Numerical Methods in Engineering Group
RMEE - Strength of Materials and Structural Engineering Research Group

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