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M. Dumbser

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Preprint Sep 2026

A structure-preserving staggered semi-implicit four-split finite volume scheme for continuum mechanics on unstructured meshes

We present a new semi-implicit structure-preserving (SP) finite volume discretization for a unified first-order hyperbolic model of continuum mechanics. This framework provides a common mathematical description for fluids and solids and incorporates transport, viscous effects, heat conduction, and elastic deformations...

M. Dumbser, W. Boscheri, M. Tavelli et al. · 1 citation

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