Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions

Heuveline, Vincent; Wittwer, Peter

doi:10.1007/s00021-009-0302-9

Scientific article

English

Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions

Contributors

Heuveline, Vincent; Wittwer, Peter

Published in

Journal of mathematical fluid mechanics, vol. 12, no. 4, p. 554-575

Publication date

2010

Abstract

Recently there has been an increasing interest for a better understanding of ultra low Reynolds number flows. In this context we present a new setup which allows to efficiently solve the stationary incompressible Navier-Stokes equations in an exterior domain in three dimensions numerically. The main point is that the necessity to truncate for numerical purposes the exterior domain to a finite sub-domain leads to the problem of finding so called “artificial boundary conditions” to replace the conditions at infinity. To solve this problem we provide a vector filed that describes the leading asymptotic behavior of the solution at large distances. This vector field depends explicitly on drag and lift which are determined in a self-consistent way as part of the solution process. When compared with other numerical schemes the size of the computational domain that is needed to obtain the hydrodynamic forces with a given precision is drastically reduced, which in turn leads to an overall gain in computational efficiency of typically several orders of magnitude.

UNIGE affiliation entities

Faculté des sciences / Section de physique / Département de physique théorique

Citation (ISO format)

HEUVELINE, Vincent, WITTWER, Peter. Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions. In: Journal of mathematical fluid mechanics, 2010, vol. 12, n° 4, p. 554–575. doi: 10.1007/s00021-009-0302-9

Article (Accepted version)

Identifiers

PID : unige:15883
DOI : 10.1007/s00021-009-0302-9

Additional URL for this publication

http://www.springerlink.com/index/10.1007/s00021-009-0302-9

Journal ISSN

1422-6928

671views

310downloads

Creation

11/05/2011 08:16:00

First validation

11/05/2011 08:16:00

Update

14/03/2023 16:51:51

Status update

14/03/2023 16:51:51

Last indexation

29/10/2024 18:08:47

Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions

Contributors

Published in

Publication date

Abstract

UNIGE affiliation entities

Citation (ISO format)

Main files (1)

Identifiers

Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation