Staggered schemes for all speed flows

Herbin, Raphaèle, Kheriji, Walid, and Latche, Jean-Claude. Denis Poisson, Fédération, and Trélat, E., eds. " Staggered schemes for all speed flows ." ESAIM: Proceedings 35 (2012): 122-150. <http://eudml.org/doc/251231>.

@article{Herbin2012,
abstract = {We review in this paper a class of schemes for the numerical simulation of compressible flows. In order to ensure the stability of the discretizations in a wide range of Mach numbers and introduce sufficient decoupling for the numerical resolution, we choose to implement and study pressure correction schemes on staggered meshes. The implicit version of the schemes is also considered for the theoretical study. We give both algorithms for the barotropic Navier-Stokes equations, for the full Navier-Stokes equations and for the Euler equations. In each case, we summarize the theoretical results that were recently obtained concerning the stability and consistency of the schemes and present some numerical results which confirm their good performance.},
author = {Herbin, Raphaèle, Kheriji, Walid, Latche, Jean-Claude},
editor = {Denis Poisson, Fédération, Trélat, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {4},
pages = {122-150},
publisher = {EDP Sciences},
title = { Staggered schemes for all speed flows },
url = {http://eudml.org/doc/251231},
volume = {35},
year = {2012},
}

TY - JOUR
AU - Herbin, Raphaèle
AU - Kheriji, Walid
AU - Latche, Jean-Claude
AU - Denis Poisson, Fédération
AU - Trélat, E.
TI - Staggered schemes for all speed flows
JO - ESAIM: Proceedings
DA - 2012/4//
PB - EDP Sciences
VL - 35
SP - 122
EP - 150
AB - We review in this paper a class of schemes for the numerical simulation of compressible flows. In order to ensure the stability of the discretizations in a wide range of Mach numbers and introduce sufficient decoupling for the numerical resolution, we choose to implement and study pressure correction schemes on staggered meshes. The implicit version of the schemes is also considered for the theoretical study. We give both algorithms for the barotropic Navier-Stokes equations, for the full Navier-Stokes equations and for the Euler equations. In each case, we summarize the theoretical results that were recently obtained concerning the stability and consistency of the schemes and present some numerical results which confirm their good performance.
LA - eng
UR - http://eudml.org/doc/251231
ER -