Flux-corrected transport algorithms preserving the eigenvalue range of symmetric tensor quantities

DOI10.1016/j.jcp.2017.09.009zbMath1380.65278OpenAlexW2610792891MaRDI QIDQ1699057

Christoph Lohmann

Publication date: 16 February 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2003/35941

zbMATH Keywords

continuous Galerkin methodartificial diffusionflux-corrected transporttensor quantitylocal discrete maximum principles

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)

Related Items (4)

An interface-aware sub-scale dynamics multi-material cell model for solids with void closure and opening at all speeds ⋮ Second-invariant-preserving remap of the 2D deviatoric stress tensor in ALE methods ⋮ Algebraic entropy fixes and convex limiting for continuous finite element discretizations of scalar hyperbolic conservation laws ⋮ Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields

Uses Software

• SHASTA

Cites Work

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• Solving cubics by polynomial fitting
• Fully multidimensional flux-corrected transport algorithms for fluids
• Flux correction tools for finite elements
• Numerical approach to simulating turbulent flow of a viscoelastic polymer solution.
• 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
• Strong Stability-Preserving High-Order Time Discretization Methods
• Slope limiting for vectors: A novel vector limiting algorithm
• Finite element flux-corrected transport (FEM-FCT) for the euler and Navier-Stokes equations
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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