Fluid dynamical problems are often conceptualized in unbounded domains. However, most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here we analyse our experience in choosing artificial boundary conditions implicitly through the choice of variational formulations. We deal particularly with a class of problems that involve the prescription of pressure drops and/or net flux conditions.
%0 Journal Article
%1 citeulike:9807526
%A Heywood, John G.
%A Rannacher, Rolf
%A Turek, Stefan
%D 1996
%J International Journal for Numerical Methods in Fluids
%K 35q30-navier-stokes-equations
%N 5
%P 325--352
%R 10.1002/(sici)1097-0363(19960315)22:5\%3C325::aid-fld307\%3E3.0.co;2-y
%T Artificial Boundaries and Flux and Pressure Conditions for the Incompressible Navier--Stokes Equations
%U http://dx.doi.org/10.1002/(sici)1097-0363(19960315)22:5\%3C325::aid-fld307\%3E3.0.co;2-y
%V 22
%X Fluid dynamical problems are often conceptualized in unbounded domains. However, most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here we analyse our experience in choosing artificial boundary conditions implicitly through the choice of variational formulations. We deal particularly with a class of problems that involve the prescription of pressure drops and/or net flux conditions.
@article{citeulike:9807526,
abstract = {{Fluid dynamical problems are often conceptualized in unbounded domains. However, most methods of numerical simulation then require a truncation of the conceptual domain to a bounded one, thereby introducing artificial boundaries. Here we analyse our experience in choosing artificial boundary conditions implicitly through the choice of variational formulations. We deal particularly with a class of problems that involve the prescription of pressure drops and/or net flux conditions.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Heywood, John G. and Rannacher, Rolf and Turek, Stefan},
biburl = {https://www.bibsonomy.org/bibtex/27bb0e2df0a42d8eef86ffff6c0de9f67/gdmcbain},
citeulike-article-id = {9807526},
citeulike-attachment-1 = {heywood_96_artificial.pdf; /pdf/user/gdmcbain/article/9807526/703184/heywood_96_artificial.pdf; 0583140931cdbb45d03eb1f0f39ff6aa558aea22},
citeulike-linkout-0 = {http://dx.doi.org/10.1002/(sici)1097-0363(19960315)22:5\%3C325::aid-fld307\%3E3.0.co;2-y},
comment = {(private-note)Cited by Rannacher (1999) as ref. [46], but with the incorrect year 1992.},
day = 15,
doi = {10.1002/(sici)1097-0363(19960315)22:5\%3C325::aid-fld307\%3E3.0.co;2-y},
file = {heywood_96_artificial.pdf},
interhash = {910a3db2d00e72c5ed640ad409ae58a2},
intrahash = {7bb0e2df0a42d8eef86ffff6c0de9f67},
issn = {0271-2091},
journal = {International Journal for Numerical Methods in Fluids},
keywords = {35q30-navier-stokes-equations},
month = mar,
number = 5,
pages = {325--352},
posted-at = {2011-09-26 02:22:11},
priority = {2},
timestamp = {2017-06-29T07:13:07.000+0200},
title = {Artificial Boundaries and Flux and Pressure Conditions for the Incompressible {N}avier--{S}tokes Equations},
url = {http://dx.doi.org/10.1002/(sici)1097-0363(19960315)22:5\%3C325::aid-fld307\%3E3.0.co;2-y},
volume = 22,
year = 1996
}