NDLI: Adaptive Boundary Conditions for Exterior Flow Problems

Content Provider	Springer Nature Link
Author	Heuveline, Vincent Bönisch, Sebastian Wittwer, Peter
Copyright Year	2005
Abstract	We consider the problem of solving numerically the stationary incompressible Navier–Stokes equations in an exterior domain in two dimensions. This corresponds to studying the stationary fluid flow past a body. The necessity to truncate for numerical purposes the infinite exterior domain to a finite domain leads to the problem of finding appropriate boundary conditions on the surface of the truncated domain. We solve this problem by providing a vector field describing the leading asymptotic behavior of the solution. This vector field is given in the form of an explicit expression depending on a real parameter. We show that this parameter can be determined from the total drag exerted on the body. Using this fact we set up a self-consistent numerical scheme that determines the parameter, and hence the boundary conditions and the drag, as part of the solution process. We compare the values of the drag obtained with our adaptive scheme with the results from using traditional constant boundary conditions. Computational times are typically reduced by several orders of magnitude.
Ending Page	107
Page Count	23
Starting Page	85
File Format	PDF
ISSN	14226928
e-ISSN	14226952
Journal	Journal of Mathematical Fluid Mechanics
Issue Number	1
Volume Number	7
Language	English
Publisher	Birkhäuser-Verlag
Publisher Date	2005-01-01
Publisher Place	Basel
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Wakes and jets Mechanics, Fluids, Thermodynamics Mathematical Methods in Physics Fluids computational fluid dynamics Navier–Stokes boundary conditions Navier-Stokes equations
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Second Order Adaptive Boundary Conditions for Exterior Flow Problems: Non-Symmetric Stationary Flows in Two Dimensions

Compressible Flow in a Half-Space with Navier Boundary Conditions

Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions

Navier–Stokes Equations with First Order Boundary Conditions

Formal Derivation of Boundary Layers in Fluid Mechanics

Fundamental Solutions of Stokes and Oseen Problem in Two Spatial Dimensions

Global Weak Solutions to Equations of Motion for Magnetic Fluids

Compressible Navier–Stokes Model with Inflow-Outflow Boundary Conditions

On the Global Unique Solvability of Initial-Boundary Value Problems for the Coupled Modified Navier–Stokes and Maxwell Equations

Adaptive Boundary Conditions for Exterior Flow Problems

Similar Documents

Second Order Adaptive Boundary Conditions for Exterior Flow Problems: Non-Symmetric Stationary Flows in Two Dimensions

Compressible Flow in a Half-Space with Navier Boundary Conditions

Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions

Navier–Stokes Equations with First Order Boundary Conditions

Formal Derivation of Boundary Layers in Fluid Mechanics

Fundamental Solutions of Stokes and Oseen Problem in Two Spatial Dimensions

Global Weak Solutions to Equations of Motion for Magnetic Fluids

Compressible Navier–Stokes Model with Inflow-Outflow Boundary Conditions

On the Global Unique Solvability of Initial-Boundary Value Problems for the Coupled Modified Navier–Stokes and Maxwell Equations

Adaptive Boundary Conditions for Exterior Flow Problems