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math.NA2023
A geometrically and thermodynamically compatible finite volume scheme for continuum mechanics on unstructured polygonal meshes
Walter Boscheri, Raphael Loubére, Jean-Philippe Braeunig +1
We present a novel Finite Volume (FV) scheme on unstructured polygonal meshes that is provably compliant with the Second Law of Thermodynamics and the Geometric Conservation Law (G…
math.NA2023
A new thermodynamically compatible finite volume scheme for Lagrangian gas dynamics
Walter Boscheri, Michael Dumbser, Pierre-Henri Maire
The equations of Lagrangian gas dynamics fall into the larger class of overdetermined hyperbolic and thermodynamically compatible (HTC) systems of partial differential equations. T…