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

• Main Author: Georg Schiebl, Mark (auth)
• Format: eBook
• Published: Karlsruhe KIT Scientific Publishing 2022
• Subjects: Civil engineering, surveying & building; Finite Elemente Methode; Thermo-Viskoelastizität; Molekulardynamik; GENERIC; Strukturerhaltende Raum-Zeit Integration
• Online Access: Get fulltext
• Physical Description: 1 electronic resource (240 p.)
• ISBN: KSP/1000136011; 9783731511175
• Access: Open Access

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.