Geometric integrators for adiabatically closed simple thermodynamic systems
Abstract
Abstract A variational formulation for non-equilibrium thermodynamics was developed by Gay-Balmaz and Yoshimura. In a recent article, the first two authors of the present paper introduced partially cosymplectic structures as a geometric framework for thermodynamic systems, recovering the evolution equations obtained variationally. In this paper, we develop a discrete variational principle for adiabatically closed simple thermodynamic systems, which can be utilised to construct numerical integrators for the dynamics of such systems. The effectiveness of our method is illustrated with several examples.
Fields of Study & Subjects
Numerical methods for differential equations
Control and Stability of Dynamical Systems
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Journal of Physics A Mathematical and Theoretical
- Volume
- 59
- Issue
- 6
- Pages
- 065202–065202
- Publication date
- 30 January 2026
- Language
- EN