A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation

A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation

In this work, we study the gradient discretisation method (GDM) of the time-dependent Navier-Stokes equations coupled with the heat equation, where the viscosity depends on the temperature. We design the discrete method and prove its convergence without non-physical conditions. The paper is closed w...

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Veröffentlicht in:arXiv.org 2024-11
1. Verfasser: Alnashri, Yahya
Format: Artikel
Sprache:eng
Schlagworte:
Fluid flow
Navier-Stokes equations
Temperature dependence
Thermodynamics
Time dependence
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Zusammenfassung:In this work, we study the gradient discretisation method (GDM) of the time-dependent Navier-Stokes equations coupled with the heat equation, where the viscosity depends on the temperature. We design the discrete method and prove its convergence without non-physical conditions. The paper is closed with numerical experiments that confirm the theoretical results.
ISSN:2331-8422