@Article{IJNAM-11-2,
author = {J., Gaspar, F. and Rodrigo, C. and Heidenreich, E.},
title = {Geometric Multigrid Methods on Structured Triangular Grids for Incompressible Navier-Stokes Equations at Low Reynolds Numbers},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2014},
volume = {11},
number = {2},
pages = {400--411},
abstract = {<p style="text-align: justify;">The main purpose of this work is the efficient implementation of a multigrid algorithm for solving Navier-Stokes problems at low Reynolds numbers in different triangular geometries.
In particular, a finite element formulation of the Navier-Stokes equations, using quadratic finite
elements for the velocities and linear finite elements to approximate the pressure, is used to solve
the problem of flow in a triangular cavity, driven by the uniform motion of one of its side walls. An
appropriate multigrid method for this discretization of Navier-Stokes equations is designed, based
on a Vanka type smoother. Moreover, the data structure used allows an efficient stencil-based
implementation of the method, which permits us to perform simulations with a large number of
unknowns with low memory consumption and a relatively low computational cost.</p>},
issn = {2617-8710},
doi = {https://doi.org/2014-IJNAM-534},
url = {https://global-sci.com/article/83352/geometric-multigrid-methods-on-structured-triangular-grids-for-incompressible-navier-stokes-equations-at-low-reynolds-numbers}
}