A Family of Second Order Time Stepping Methods for the Darcy-Brinkman Equations

Autor: Çıbık, Aytekin, Demir, Medine, Kaya, Songul
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Databáze: arXiv