A simple and efficient outflow boundary condition for the incompressibleNavier-Stokes equations

Collection with item attached
2017
Item details URL
http://open-repository.kisti.re.kr/cube/handle/open_repository/473997.do
DOI
10.1080/19942060.2016.1247296
Title
A simple and efficient outflow boundary condition for the incompressibleNavier-Stokes equations
Description
Y.B. Li is supported by the Fundamental Research Funds for the CentralUniversities, China [No. XJJ2015068] and by the National Natural ScienceFoundation of China [No. 11601416]; J.-I. Choi was supported by theNational Research Foundation (NRF) of Korea, grant funded by theMinistry of Science, Information and Communications Technology, andFuture Planning (MSIP) of the Korea government [No.NRF-2014R1A2A1A11053140]; J.S. Kim was supported by the NationalResearch Foundation of Korea, grant funded by the Korea government(MSIP) [NRF-2014R1A2A2A01003683].
abstract
Many researchers have proposed special treatments for outlet boundary conditions owing to lack of information at the outlet. Among them, the simplest method requires a large enough computational domain to prevent or reduce numerical errors at the boundaries. However, an efficient method generally requires special treatment to overcome the problems raised by the outlet boundary condition used. For example, mass flux is not conserved and the fluid field is not divergence-free at the outlet boundary. Overcoming these problems requires additional computational cost. In this paper, we present a simple and efficient outflow boundary condition for the incompressible Navier-Stokes equations, aiming to reduce the computational domain for simulating flow inside a long channel in the streamwise direction. The proposed outflow boundary condition is based on the transparent equation, where a weak formulation is used. The pressure boundary condition is derived by using the Navier-Stokes equations and the outlet flow boundary condition. In the numerical algorithm, a staggered marker-and-cell grid is used and temporal discretization is based on a projection method. The intermediate velocity boundary condition is consistently adopted to handle the velocity-pressure coupling. Characteristic numerical experiments are presented to demonstrate the robustness and accuracy of the proposed numerical scheme. Furthermore, the agreement of computational results from small and large domains suggests that our proposed outflow boundary condition can significantly reduce computational domain sizes.
provenance
Made available in Cube on 2018-09-28T10:34:28Z (GMT). No. of bitstreams: 0
language
English
author
Li, Yibao
Choi, Jung-Ii
Choic, Yongho
Kim, Junseok
orcid
Li, Yibao/0000-0002-4847-5430
accessioned
2018-09-28T10:34:28Z
available
2018-09-28T10:34:28Z
issued
2017
citation
ENGINEERING APPLICATIONS OF COMPUTATIONAL FLUID MECHANICS(11): 1
issn
1994-2060
uri
http://open-repository.kisti.re.kr/cube/handle/open_repository/473997.do
Funder
교육부
Funding Program
BK21플러스사업(0.5)
Project ID
1345274083
Jurisdiction
Rep.of Korea
Project Name
BK21 Plus Korea University Mathematical Science Division
rights
openAccess
subject
Inflow-outflow boundary condition
marker-and-cell mesh
incompressibleNavier-Stokes equations
projection method
type
article


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