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Finite Element System (finite + element_system)

Distribution by Scientific Domains

Engineering	50%

Selected Abstracts

A control volume capacitance method for solidification modelling with mass transport

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, Issue 12 2002
K. Davey
Abstract Capacitance methods are popular methods used for solidification modelling. Unfortunately, they suffer from a major drawback in that energy is not correctly transported through elements and so provides a source of inaccuracy. This paper is concerned with the development and application of a control volume capacitance method (CVCM) to problems where mass transport and solidification are combined. The approach adopted is founded on theory that describes energy transfer through a control volume (CV) moving relative to the transporting mass. An equivalent governing partial differential equation is established, which is designed to be transformable into a finite element system that is commonly used to model transient heat-conduction problems. This approach circumvents the need to use the methods of Bubnov,Galerkin and Petrov,Galerkin and thus eliminates many of the stability problems associated with these approaches. An integration scheme is described that accurately caters for enthalpy fluxes generated by mass transport. Shrinkage effects are neglected in this paper as all the problems considered involve magnitudes of velocity that make this assumption reasonable. The CV approach is tested against known analytical solutions and is shown to be accurate, stable and computationally competitive. Copyright © 2002 John Wiley & Sons, Ltd. [source]

Coupling of 3D Boundary Elements with Curved Finite Shell Elements

PROCEEDINGS IN APPLIED MATHEMATICS & MECHANICS, Issue 1 2006
Bastian Helldörfer
The mixed-dimensional coupling of finite shells and 3D boundary elements is presented. A stiffness formulation for the boundary element domain is generated by the Symmetric Galerkin Boundary Element Method and is assembled to the global finite element system. Multipoint constraints are derived in an integral sense by equating the work at the coupling interface. They are evaluated numerically during the analysis and avoid spurious stress concentrations also for curved interfaces. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim) [source]

Parallel iterative multilevel solution of mixed finite element systems for scalar equations

CONCURRENCY AND COMPUTATION: PRACTICE & EXPERIENCE, Issue 5 2006
V. Chugunov
Abstract A combination of several contemporary techniques is used for the efficient parallel solution of the mixed finite element systems on locally refined Grids. Implementation experience and numerical results are reported. Copyright © 2005 John Wiley & Sons, Ltd. [source]