Geodesic
Local preconditioners for steady and unsteady flow applications
ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Low Mach Number Flows Conference, Tome 39 (2005) no. 3, pp. 515-535

Voir la notice de l'article provenant de la source Numdam

Preconditioners for hyperbolic systems are numerical artifacts to accelerate the convergence to a steady state. In addition, the preconditioner should also be included in the artificial viscosity or upwinding terms to improve the accuracy of the steady state solution. For time dependent problems we use a dual time stepping approach. The preconditioner affects the convergence rate and the accuracy of the subiterations within each physical time step. We consider two types of local preconditioners: Jacobi and low speed preconditioning. We can express the algorithm in several sets of variables while using only the conservation variables for the flux terms. We compare the effect of these various variable sets on the efficiency and accuracy of the scheme.

DOI : 10.1051/m2an:2005021
Classification : 65M06, 76M12
Keywords: low Mach, preconditioning, Jacobi, dual time step, compressible Navier Stokes 
@article{M2AN_2005__39_3_515_0,
     author = {Turkel, Eli and Vatsa, Veer N.},
     title = {Local preconditioners for steady and unsteady flow applications},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {515--535},
     publisher = {EDP-Sciences},
     volume = {39},
     number = {3},
     year = {2005},
     doi = {10.1051/m2an:2005021},
     mrnumber = {2157148},
     zbl = {1130.76055},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005021/}
}
TY  - JOUR
AU  - Turkel, Eli
AU  - Vatsa, Veer N.
TI  - Local preconditioners for steady and unsteady flow applications
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2005
SP  - 515
EP  - 535
VL  - 39
IS  - 3
PB  - EDP-Sciences
UR  - http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005021/
DO  - 10.1051/m2an:2005021
LA  - en
ID  - M2AN_2005__39_3_515_0
ER  - 
%0 Journal Article
%A Turkel, Eli
%A Vatsa, Veer N.
%T Local preconditioners for steady and unsteady flow applications
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2005
%P 515-535
%V 39
%N 3
%I EDP-Sciences
%U http://geodesic.mathdoc.fr/articles/10.1051/m2an:2005021/
%R 10.1051/m2an:2005021
%G en
%F M2AN_2005__39_3_515_0
Turkel, Eli; Vatsa, Veer N. Local preconditioners for steady and unsteady flow applications. ESAIM: Mathematical Modelling and Numerical Analysis , Special issue on Low Mach Number Flows Conference, Tome 39 (2005) no. 3, pp. 515-535. doi: 10.1051/m2an:2005021

Cité par Sources :