Second-invariant-preserving remap of the 2D deviatoric stress tensor in ALE methods

DOI10.1016/J.CAMWA.2018.06.012zbMath1442.74064OpenAlexW2809651516WikidataQ116759695 ScholiaQ116759695MaRDI QIDQ2203144

Jan Velechovsky, Mikhail J. Shashkov, Matej Klima, Milan Kucharik

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.06.012

zbMATH Keywords

stress tensorlimiterALEsymmetry preservationremapping

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Impact in solid mechanics (74M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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Cites Work

• Symmetry- and essentially-bound-preserving flux-corrected remapping of momentum in staggered ALE hydrodynamics
• Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods
• Arbitrary Lagrangian eulerian remap treatments consistent with staggered compatible total energy conserving Lagrangian methods
• The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
• Introduction to ``An arbitrary Lagrangian-Eulerian computing method for all flow speeds
• Flux-corrected transport algorithms preserving the eigenvalue range of symmetric tensor quantities
• Compatible, energy conserving, bounds preserving remap of hydrodynamic fields for an extended ALE scheme
• Incremental remapping as a transport/advection algorithm
• Exploration of new limiter schemes for stress tensors in Lagrangian and ALE hydrocodes
• A nominally second-order cell-centered Lagrangian scheme for simulating elastic-plastic flows on two-dimensional unstructured grids
• Slope limiting for vectors: A novel vector limiting algorithm
• A finite volume cell‐centered Lagrangian hydrodynamics approach for solids in general unstructured grids
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds

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