Convergence Order Prediction of CVFEM Solutions using the  Richardson Extrapolation Method on Unstructured Grids

Hasnat Mohammed; Abdellah Belkacem

Convergence Order Prediction of CVFEM Solutions using the Richardson Extrapolation Method on Unstructured Grids

Authors

Hasnat Mohammed Laboratory of energy in arid areas (ENERGARID), Faculty of Science and Technology University of Bechar, BP 417, 08000 Bechar, Algeria
Abdellah Belkacem Laboratory of energy in arid areas (ENERGARID), Faculty of Science and Technology University of Bechar, BP 417, 08000 Bechar, Algeria

Keywords:

Convergence, CVFEMs, Richardson Extrapolation, FORTRAN

Abstract

In this work, our proposed idea is based on using the Richardson Extrapolation (RE) method for predicting convergence the pth order solution on unstructured grids [1]. Practically, we want to analyze the variation the convergence order compared the solution accuracy numerically of the Control Volume Finite Element Method (CVFEMs) [2, 3]. To this effect, the proposed model a two-dimensional solving Navier-Stokes (NS) equations coupled with the energy equation, with an irregular domain using six cases different unstructured meshes. All the numerical results are presented and
discussed; they have been obtained from our code FORTRAN program.

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Author Biography

Hasnat Mohammed, Laboratory of energy in arid areas (ENERGARID), Faculty of Science and Technology University of Bechar, BP 417, 08000 Bechar, Algeria

mohammed.hasnat@yahoo.fr

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Published

2024-03-28

How to Cite

Hasnat Mohammed, & Abdellah Belkacem. (2024). Convergence Order Prediction of CVFEM Solutions using the Richardson Extrapolation Method on Unstructured Grids. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 67(2), 27–39. Retrieved from https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/article/view/5371