Computational evaluation of convection schemes in fluid dynamics problems
Numerical Analysis
2013-04-03 v1 Fluid Dynamics
Abstract
This article provides a computational evaluation of the popular high resolution upwind WACEB, CUBISTA and ADBQUICKEST schemes for solving non-linear fluid dynamics problems. By using the finite difference methodology, the schemes are analyzed and implemented in the context of normalized variables of Leonard. In order to access the performance of the schemes, Riemann problems for 1D Burgers, Euler and shallow water equations are considered. From the numerical results, the schemes are ranked according to their performance in solving these non-linear equations. The best scheme is then applied in the numerical simulation of tridimensional incompressible moving free surface flows.
Keywords
Cite
@article{arxiv.1304.0621,
title = {Computational evaluation of convection schemes in fluid dynamics problems},
author = {Valdemir Garcia Ferreira and Giseli Aparecida Braz de Lima and Laís Corrêa and Miguel Antonio Caro Candezano and Eliandro Rodrigues Cirilo and Paulo Laerte Natti and Neyva Maria Lopes Romeiro},
journal= {arXiv preprint arXiv:1304.0621},
year = {2013}
}
Comments
Article in Portuguese