On the effect of the bulk tangent matrix in partitioned solution schemes for nearly incompressible fluids
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 c...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2015 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/86862 |
| Acceso en línea: | https://hdl.handle.net/2117/86862 https://dx.doi.org/10.1002/nme.4839 |
| Access Level: | acceso abierto |
| Palabra clave: | 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 Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
| Sumario: | 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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