An analysis of three formulations of the tensor artificial viscosity in two-dimensional Cartesian geometry

DOI10.1016/J.JCP.2021.110154OpenAlexW3123546716MaRDI QIDQ2128497

Longyu Kuang, Zhiwei Lin, Lu Zhang, Shaoen Jiang

Publication date: 22 April 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2021.110154

zbMATH Keywords

non-trivialitytensor artificial viscositytwo-dimensional Cartesian geometry

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Shock waves and blast waves in fluid mechanics (76Lxx)

Related Items (1)

On the tensor viscosity based on Gauss quadrature: a comparison of robustness, efficiency, and connection with hourglass control

Cites Work

• A symmetry preserving dissipative artificial viscosity in an \(r-z\) staggered Lagrangian discretization
• A Lagrangian staggered grid Godunov-like approach for hydrodynamics
• A tensor artificial viscosity using a finite element approach
• The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
• Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures
• Formulations of artificial viscosity for multi-dimensional shock wave computations
• A high order cell centred dual grid Lagrangian Godunov scheme
• A compact artificial viscosity equivalent to a tensor viscosity
• A framework for developing a mimetic tensor artificial viscosity for Lagrangian hydrocodes on arbitrary polygonal meshes
• A tensor artificial viscosity using a mimetic finite differential algorithm

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