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Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC

Thermodynamically consistent space-time discretization of non-isothermal mechanical systems in the framework of GENERIC

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The present work addresses the design of structure-preserving numerical methods that emanate from the general equation for non-equilibrium reversible-irreversible coupling (GENERIC) formalism. Novel energy-momentum (EM) consistent time-stepping schemes in the realm of molecular dynamics are proposed. Moreover, the GENERIC-based structure-preserving numerical methods are extended to the context of large-strain thermoelasticity and thermo-viscoelasticity.

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DOI: 10.5445/KSP/1000136011

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