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Title:
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Arbitrary Lagrangian-Eulerian methods
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Author:
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Donea, J; Huerta, Antonio; Ponthot, J -Ph; Rodríguez Ferran, Antonio
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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Aim of the present chapter is to provide an in-depth survey of arbitrary Lagrangian-Eulerian (ALE) methods, including both conceptual aspects of the mixed kinematical description and numerical implementation details. Applications are discussed in °uid dynamics, nonlinear solid mechanics and
coupled problems describing fluid-structure interaction. The need for an adequate mesh update strategy is underlined and various automatic mesh displacement prescription algorithms are reviewed. This includes mesh regularization methods essentially based on geometrical concepts, as well as mesh
adaptation techniques aiming at optimizing the computational mesh according to some error indicator. Emphasis is then placed on particular issues related to the modeling of compressible and incompressible flow and nonlinear solid mechanics problems. This includes the treatment of convective terms in the conservation equations for mass, momentum and energy, as well as a discussion of stress update procedures for materials with history-dependent constitutive behaviour. |
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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica
-Lagrange equations--Numerical solutions
-Numerical analysis
-nonlinear solid mechanics
-stress update procedures
-fluid-structure interaction
-ALE description
-convective transport
-finite elements
-stabilization techniques
-mesh regularization and adaptation
-fluid dynamics
-Lagrange, Equacions de
-Euler, Equacions d' |
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Rights:
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Document type:
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Article - Submitted version
Book Part |
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Published by:
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John Wiley & Sons
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