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unige:15883 
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Adaptive Boundary Conditions for Exterior Stationary Flows in Three Dimensions |
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| Published in | Journal of Mathematical Fluid Mechanics. 2010, vol. 12, no. 4, p. 554-575 | |
| 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. | |
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Article (Author postprint) (697 Kb) - Free access Other version: http://www.springerlink.com/index/10.1007/s00021-009-0302-9 |
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| 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. https://archive-ouverte.unige.ch/unige:15883 |
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