A direct boundary integral method for the three-dimensional lifting flow

Dragoş, L.; Dinu, Adrian

doi:10.1016/0045-7825(95)00850-4

Cited by 3 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to speed up the computation, a way to proceed is to use multipole methods [15,33,17], which are by definition well adapted for Lagrangian or pointwise formulations [2]. Another way is to provide an estimate of density, which limits convergence order but dramatically decreases computational time since only potential evaluation remains to be computed [13]. The tangential part of kinematic boundary conditions is a completely different matter.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Direct Three-Dimensional Parabolic Panel Methods

Poncet¹

2007

SIAM J. Numer. Anal.

View full text Add to dashboard Cite

Adherence boundary conditions for time dependent partial differential equations, via Chorin algorithm, can be reduced to a parabolic problem with Robin-Fourier boundary conditions in the three-dimensional context. In the spirit of panel methods, one establishes an integral formulation whose key point is the estimation of the potential density, introducing a kind of panel method for tangential kinematic boundary conditions. This paper discusses explicit estimations of this density in the general case of an arbitrarily shaped three-dimensional body, which leads to a fast numerical scheme. An error analysis is also provided, involving body smoothness, the Hölder exponent of the density, and whether the body presents torsion or not.

show abstract