We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in 6, and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.
%0 Report
%1 citeulike:10445552
%A Droniou, Jerome
%A Eymard, Robert
%D 2006
%K 35q30-navier-stokes-equations 76d07-stokes-and-related-oseen-etc-flows 76m12-finite-volume-methods-in-fluid-mechanics
%N hal-00110911
%R https://dx.doi.org/10.1002/num.20333
%T Study of the Mixed Finite Volume Method for Stokes and Navier-Stokes Equations
%U http://hal.archives-ouvertes.fr/hal-00110911
%X We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in 6, and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.
%7 1
@techreport{citeulike:10445552,
abstract = {We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in 6, and can be applied on any type of grid (without ``orthogonality'' assumptions as for classical finite volume methods) and in any space dimension. We present numerical results on some irregular grids, and we prove, for both Stokes and Navier-Stokes equations, the convergence of the scheme toward a solution of the continuous problem.},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Droniou, Jerome and Eymard, Robert},
biburl = {https://www.bibsonomy.org/bibtex/2a14f68d562625e6084d95ca2345c7ebc/gdmcbain},
citeulike-article-id = {10445552},
citeulike-attachment-1 = {droniou_06_study.pdf; /pdf/user/gdmcbain/article/10445552/762688/droniou_06_study.pdf; 553f99c9c762e3cf0a3ba0caa1605d32cc90fb34},
citeulike-linkout-0 = {http://hal.archives-ouvertes.fr/hal-00110911},
day = 2,
doi = {https://dx.doi.org/10.1002/num.20333},
edition = 1,
file = {droniou_06_study.pdf},
interhash = {e3f4031f7415c71066b7935e153a0e30},
intrahash = {a14f68d562625e6084d95ca2345c7ebc},
keywords = {35q30-navier-stokes-equations 76d07-stokes-and-related-oseen-etc-flows 76m12-finite-volume-methods-in-fluid-mechanics},
month = nov,
number = {hal-00110911},
posted-at = {2012-03-13 02:33:40},
priority = {2},
timestamp = {2020-11-05T06:28:28.000+0100},
title = {Study of the Mixed Finite Volume Method for {S}tokes and {N}avier-{S}tokes Equations},
url = {http://hal.archives-ouvertes.fr/hal-00110911},
year = 2006
}