A discrete geometric conservation law (DGCL) for a cell vertex finite-volume algorithm on moving domains

DOI10.1002/cnm.1180zbMath1351.76107OpenAlexW2162872314MaRDI QIDQ3576879

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Publication date: 3 August 2010

Published in: International Journal for Numerical Methods in Biomedical Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.1180

zbMATH Keywords

arbitrary Lagrangian-Eulerian formulationconservation equationsdiscrete geometric conservation law

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

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An upwind vertex centred finite volume solver for Lagrangian solid dynamics ⋮ A stabilised Petrov-Galerkin formulation for linear tetrahedral elements in compressible, nearly incompressible and truly incompressible fast dynamics ⋮ A first order hyperbolic framework for large strain computational solid dynamics. I: Total Lagrangian isothermal elasticity ⋮ The Immersed Structural Potential Method for haemodynamic applications ⋮ A first order hyperbolic framework for large strain computational solid dynamics. II: Total Lagrangian compressible, nearly incompressible and truly incompressible elasticity

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• Fluid-structure interaction with large structural displacements
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