A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics

Conde Martín, Sergio; Betsch, Peter y García Orden, Juan Carlos (2015). A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics. "Communications in Nonlinear Science And Numerical Simulation", v. 32 ; pp. 63-80. ISSN 1007-5704. https://doi.org/10.1016/j.cnsns.2015.08.006.

Descripción

Título: A temperature-based thermodynamically consistent integration scheme for discrete thermo-elastodynamics
Autor/es:
  • Conde Martín, Sergio
  • Betsch, Peter
  • García Orden, Juan Carlos
Tipo de Documento: Artículo
Título de Revista/Publicación: Communications in Nonlinear Science And Numerical Simulation
Fecha: 2015
Volumen: 32
Materias:
Palabras Clave Informales: Time integration; Structure preservation; Geometric integration; Thermodynamics; GENERIC formalism
Escuela: E.T.S.I. Caminos, Canales y Puertos (UPM)
Departamento: Mecánica de Medios Continuos y Teoría de Estructuras
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

The formulation of thermodynamically consistent (TC) time integration methods was introduced by a general procedure based on the GENERIC form of the evolution equations for thermo-mechanical problems. The use of the entropy was reported to be the best choice for the thermodynamical variable to easily provide TC integrators. Also the employment of the internal energy was proved to not involve excessive complications. However, attempts towards the use of the temperature in the design of GENERIC-based TC schemes have so far been unfruitful. This paper complements the said procedure to attain TC integrators by presenting a TC scheme based on the temperature as thermodynamical state variable. As a result, the problems which arise due to the use of the entropy are overcome, mainly the definition of boundary conditions. What is more, the newly proposed method exhibits the general enhanced numerical stability and robustness properties of the entropy formulation.

Proyectos asociados

TipoCódigoAcrónimoResponsableTítulo
Gobierno de EspañaDPI 2012-36429Sin especificarSin especificarSin especificar

Más información

ID de Registro: 38464
Identificador DC: http://oa.upm.es/38464/
Identificador OAI: oai:oa.upm.es:38464
Identificador DOI: 10.1016/j.cnsns.2015.08.006
URL Oficial: http://www.sciencedirect.com/science/article/pii/S100757041500283X
Depositado por: Memoria Investigacion
Depositado el: 20 Nov 2015 18:09
Ultima Modificación: 20 Nov 2015 18:09
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