Variational and thermodynamically consistent finite element discretization for heat conducting viscous fluids

• Main Authors: Gawlik, Evan S., Gay-Balmaz, François
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2024
• Subjects: Mathematical Sciences; Structure-preserving discretization; Heat conducting viscous fluid
• Online Access: https://hdl.handle.net/10356/178111
• Institution: Nanyang Technological University

Respecting the laws of thermodynamics is crucial for ensuring that numerical simulations of dynamical systems deliver physically relevant results. In this paper, we construct a structure-preserving and thermodynamically consistent finite element method and time-stepping scheme for heat conducting vi...