Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects

Abstract

We propose a new generalized compressible diphasic Navier-Stokes Cahn-Hilliard model that we name G-NSCH. This new G-NSCH model takes into account important properties of diphasic compressible fluids such as possible non-matching densities and contrast in mechanical properties (viscosity, friction) between the two phases of the fluid. the model also comprises a term to account for possible exchange of mass between the two phases. Our G-NSCH system is derived rigorously and satisfies basic mechanics of fluids and thermodynamics of particles. Under some simplifying assumptions, we prove the existence of global weak solutions. We also propose a structure preserving numerical scheme based on the scalar auxiliary variable method to simulate our system and present some numerical simulations validating the properties of the numerical scheme and illustrating the solutions of the G-NSCH model.
Fichier principal
Vignette du fichier
Analysis_and_numerical_simulation_of_a_generalized_compressible_Cahn_Hilliard_Navier_Stokes_model_with_friction_effects-1.pdf (2.07 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04090768 , version 1 (06-05-2023)
hal-04090768 , version 2 (28-03-2024)

Identifiers

  • HAL Id : hal-04090768 , version 2

Cite

Charles Elbar, Alexandre Poulain. Analysis and numerical simulation of a generalized compressible Cahn-Hilliard-Navier-Stokes model with friction effects. 2024. ⟨hal-04090768v2⟩
50 View
59 Download

Share

Gmail Mastodon Facebook X LinkedIn More