TY - JOUR
T1 - Study of the mixed finite volume method for Stokes and Navier-Stokes equations
AU - Droniou, Jerome
AU - Eymard, Robert
PY - 2009
Y1 - 2009
N2 - We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in Droniou and Eymard, Numer Math 105 (2006), 35-71, and can be applied to 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.
AB - We present finite volume schemes for Stokes and Navier-Stokes equations. These schemes are based on the mixed finite volume introduced in Droniou and Eymard, Numer Math 105 (2006), 35-71, and can be applied to 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.
UR - http://onlinelibrary.wiley.com/doi/10.1002/num.20333/abstract;jsessionid=88EB60A7FCE0183C68EDFF04EAFB7049.d02t02
U2 - 10.1002/num.20333
DO - 10.1002/num.20333
M3 - Article
SN - 0749-159X
VL - 25
SP - 137
EP - 171
JO - Numerical Methods for Partial Differential Equations
JF - Numerical Methods for Partial Differential Equations
IS - 1
ER -