Investigation on the Use of a Spacetime Formalism for Modeling and Numerical Simulations of Heat Conduction Phenomena
| Autor: | Richard Kerner, Benoît Panicaud, Alexandre Charles, Roula Al Nahas, Emmanuelle Rouhaud, Kanssoune Saliya, Israa Choucair |
|---|---|
| Přispěvatelé: | Laboratoire des Systèmes Mécaniques et d'Ingénierie Simultanée (LASMIS), Institut Charles Delaunay (ICD), Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS)-Université de Technologie de Troyes (UTT)-Centre National de la Recherche Scientifique (CNRS), Safran Tech, GeoRessources, Institut national des sciences de l'Univers (INSU - CNRS)-Centre de recherches sur la géologie des matières premières minérales et énergétiques (CREGU)-Université de Lorraine (UL)-Centre National de la Recherche Scientifique (CNRS), Sorbonne Université (SU) |
| Rok vydání: | 2020 |
| Předmět: |
spacetime thermodynamics
Discretization constitutive models General Physics and Astronomy 01 natural sciences 010305 fluids & plasmas projectors 03 medical and health sciences 0302 clinical medicine covariance principle [SPI.MECA.MEMA]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Mechanics of materials [physics.class-ph] 0103 physical sciences Thermal Covariant transformation Statistical physics Physics weak integral form Spacetime 030208 emergency & critical care medicine General Chemistry Covariance Thermal conduction finite propagation hyperbolic heat conduction Dissipative system Heat equation spacetime modeling |
| Zdroj: | Journal of Non-Equilibrium Thermodynamics Journal of Non-Equilibrium Thermodynamics, De Gruyter, In press, ⟨10.1515/jnet-2019-0074⟩ Journal of Non-Equilibrium Thermodynamics, 2020, 45 (3), pp.223-246. ⟨10.1515/jnet-2019-0074⟩ |
| ISSN: | 1437-4358 0340-0204 |
| DOI: | 10.1515/jnet-2019-0074 |
| Popis: | The question of frame-indifference of the thermomechanical models has to be addressed to deal correctly with the behavior of matter undergoing finite transformations. In this work, we propose to test a spacetime formalism to investigate the benefits of the covariance principle for application to covariant modeling and numerical simulations for finite transformations. Several models especially for heat conduction are proposed following this framework and next compared to existing models. This article also investigates numerical simulations using the heat equation with two different thermal dissipative models for heat conduction, without thermomechanical couplings. The numerical comparison between the spacetime thermal models derived in this work and the corresponding Newtonian thermal models, which adds the time as a discretized variable, is also performed through an example to investigate their advantages and drawbacks. |
| Databáze: | OpenAIRE |
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