Year: 2020
Author: J. K. Djoko, H. H. Gidey, B. D. Reddy
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 4 : pp. 485–516
Abstract
In this work, implicit and explicit multilevel finite volume methods have been constructed to solve the 2D Navier-Stokes equation with specified initial condition and boundary conditions. The multilevel methods are applied to the pressure-correction projection method using space finite volume discretization. The convective term is approximated by a linear expression that preserves the physical property of the continuous model. The stability analysis of the numerical methods have been discussed thoroughly by making use of the energy method. Numerical experiments exhibited to illustrate some differences between the new (multilevel) and conventional (one-level) schemes.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2020-IJNAM-17866
International Journal of Numerical Analysis and Modeling, Vol. 17 (2020), Iss. 4 : pp. 485–516
Published online: 2020-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Keywords: Navier-Stokes equations stability multilevel finite volume method.