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

Authors: Elbar, Charles, Poulain, Alexandre

Contributors: Sciences, EDP

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1989-2034

Subject Terms: Cell biology, Iterative numerical methods for linear systems, scalar auxiliary variable method, 35B40, 35B45, 35G20, 35Q35, 35Q92, 65M08, PDEs in connection with biology, chemistry and other natural sciences, Nonlinear higher-order PDEs, [MATH] Mathematics [math], PDEs in connection with fluid mechanics, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, Physiological flows, 01 natural sciences, Cahn-Hilliard equation, Navier-Stokes equation, numerical simulations, Fixed-point theorems, Mathematics - Analysis of PDEs, FOS: Mathematics, Cahn–Hilliard equation, Mathematics - Numerical Analysis, 0101 mathematics, Weak solutions to PDEs, Physiological flow, Navier–Stokes equation, Asymptotic behavior of solutions to PDEs, mathematical modeling, Existence problems for PDEs: global existence, local existence, non-existence, Numerical Analysis (math.NA), A priori estimates in context of PDEs, asymptotic analysis, Friction in solid mechanics, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Analysis of PDEs (math.AP)

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https://doi.org/10.1051/m2an/2024063

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

Authors: Elbar, Charles, Poulain, Alexandre

Contributors: Sorbonne Université (SU), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Modelling and Analysis for Medical and Biological Applications (MAMBA), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Centre Inria de Sorbonne Université, Centre Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria), Université de Lille, Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS)

Source: https://hal.science/hal-04090768 ; 2024.

Subject Terms: Navier-Stokes equation, Asymptotic analysis, Mathematical modeling, Numerical simulations, Scalar Auxiliary Variable method, 35B40, 35B45, 35G20, 35Q35, 35Q92, 65M08, [MATH]Mathematics [math]

Availability: https://hal.science/hal-04090768
https://hal.science/hal-04090768v2/document
https://hal.science/hal-04090768v2/file/Analysis_and_numerical_simulation_of_a_generalized_compressible_Cahn_Hilliard_Navier_Stokes_model_with_friction_effects-1.pdf

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

Authors: Elbar, Charles, Poulain, Alexandre

Contributors: Sorbonne Université (SU), Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Modelling and Analysis for Medical and Biological Applications (MAMBA), Inria de Paris, Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jacques-Louis Lions (LJLL (UMR_7598)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Université de Lille, Laboratoire Paul Painlevé (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS)

Source: https://hal.science/hal-04090768 ; 2023.

Subject Terms: Navier-Stokes equation, Asymptotic analysis, Mathematical modeling, Numerical simulations, Scalar Auxiliary Variable method, 35B40, 35B45, 35G20, 35Q35, 35Q92, 65M08, [MATH]Mathematics [math]

Relation: hal-04090768; https://hal.science/hal-04090768; https://hal.science/hal-04090768/document; https://hal.science/hal-04090768/file/CHNS_analysis_simulation.pdf

Availability: https://hal.science/hal-04090768
https://hal.science/hal-04090768/document
https://hal.science/hal-04090768/file/CHNS_analysis_simulation.pdf

A high-efficiency second-order numerical scheme for time-fractional phase field models by using extended SAV method

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Source: Nonlinear Dynamics: An International Journal of Nonlinear Dynamics and Chaos in Engineering Systems. 102(1):589-603