The ALE-method with triangular elements: direct convection of integration point values

DOI<697::AID-NME976>3.0.CO;2-U 10.1002/1097-0207(20001020)49:5<697::AID-NME976>3.0.CO;2-UzbMath0994.74077OpenAlexW2013604634MaRDI QIDQ4512890

M. J. van Haaren, A. H. van den Boogaard, J. Huetink, H. C. Stoker

Publication date: 7 October 2002

Full work available at URL: https://doi.org/10.1002/1097-0207(20001020)49:5<697::aid-nme976>3.0.co;2-u

zbMATH Keywords

unstructured gridsplasticityarbitrary Lagrangian-Eulerian finite element methodconvection equationforming processesquadratic triangular elementsLagrangian stepextrusion processblock testdirect convection of integration point valuesEulerian stepMolenkamp testsplit formulation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15)

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Efficient 3D data transfer operators based on numerical integration, Momentum advection on unstructured staggered quadrilateral meshes

Cites Work

• Arbitrary Lagrangian-Eulerian Petrov-Galerkin finite elements for nonlinear continua
• An efficient, accurate, simple ALE method for nonlinear finite element programs
• Lagrangian-Eulerian finite element formulation for incompressible viscous flows
• Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
• A new upwind scheme on triangular meshes using the finite volume method.
• Adaptive finite volume upwind approach on mixed quadrilateral-triangular meshes
• An U‐ALE formulation of 3‐D unsteady viscoelastic flow
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