A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation
Numerical Analysis
2024-11-25 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2411.14650,
title = {A generic Scheme For the time-dependent Navier-Stokes Equation Coupled With The Heat Equation},
author = {Yahya Alnashri},
journal= {arXiv preprint arXiv:2411.14650},
year = {2024}
}