A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations
Numerical Analysis
2018-04-10 v1
Abstract
This study presents an efficient, accurate, effective and unconditionally stable time stepping scheme for the Darcy-Brinkman equations in double-diffusive convection. The stabilization within the proposed method uses the idea of stabilizing the curvature for velocity, temperature and concentration equations. Accuracy in time is proven and the convergence results for the fully discrete solutions of problem variables are given. Several numerical examples including a convergence study are provided that support the derived theoretical results and demonstrate the efficiency and the accuracy of the method.
Keywords
Cite
@article{arxiv.1804.02930,
title = {A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations},
author = {Aytekin Çıbık and Medine Demir and Songul Kaya},
journal= {arXiv preprint arXiv:1804.02930},
year = {2018}
}