2 citations · 2 across the 4 of their papers we have counts for
5 papers
Metriplectic 4-bracket algorithm for constructing thermodynamically consistent dynamical systems
Azeddine Zaidni, Philip J. Morrison
A unified thermodynamic algorithm (UTA) is presented for constructing thermodynamically consistent dynamical systems, i.e., systems that have Hamiltonian and dissipative parts that…
Global existence of weak solutions to incompressible anisotropic Cahn-Hilliard-Navier-Stokes system
Azeddine Zaidni, Saad Benjelloun, Radouan Boukharfane
We study the anisotropic, incompressible Cahn-Hilliard-Navier-Stokes system with variable density in a bounded smooth domain . This work extends previous res…
A thermodynamically consistent discretization of 1D thermal-fluid models using their metriplectic 4-bracket structure
William Barham, Philip J. Morrison, Azeddine Zaidni
Thermodynamically consistent models in continuum physics, i.e. models which satisfy the first and second laws of thermodynamics, may be expressed using the metriplectic formalism.…
Thermodynamically consistent Cahn-Hilliard-Navier-Stokes equations using the metriplectic dynamics formalism
Azeddine Zaidni, Philip J Morrison, Saad Benjelloun
Cahn-Hilliard-Navier-Stokes (CHNS) systems describes flows with two-phases, e.g., a liquid with bubbles. Obtaining constitutive relations for general dissipative processes for such…
On the sound dispersion and attenuation in fluids due to thermal and viscous effects
Azeddine Zaidni, Saad Benjelloun
In this paper, we derive a dispersion relation for sound waves in viscous and heat conducting fluids. In particular this dispersion (i.e. variation of speed of sound with frequency…