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arXiv · 2411.14650

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

Yahya Alnashri
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Abstract

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.

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Yahya Alnashri. 2024-11-22. A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation. https://arxiv.org/abs/2411.14650

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