| 000 | 01330nam a2200169 a 4500 | ||
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| 005 | 20260901030407.0 | ||
| 008 | 250101s2020 xx o 000 0 eng d | ||
| 100 | 1 | _aAnna-Karin Tornberg | |
| 245 | 1 | 0 | _aAccurate evaluation of integrals in slender-body formulations for fibers in viscous flow |
| 264 | 1 |
_barXiv _c2020 |
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| 336 | _atext | ||
| 338 | _aonline resource | ||
| 520 | _aA non-local slender body approximation for slender flexible fibers in Stokes flow can be derived, yielding an integral equation along the center lines of the fibers that involves a slenderness parameter. The formulation contains a so-called finite part singular integral, and can in the case of several fibers or evaluation of the flow field require the evaluation of nearly singular integrals. We introduce a numerical technique to accurately and efficiently evaluate the finite part integral. This technique can be applied combined with any panel based quadrature rule and will add no additional cost except for a small precomputation of modified quadrature weights. We also show how a related technique that was recently introduced can be applied for the evaluation of the nearly singular integrals. | ||
| 506 | 0 | _aOpen access — freely available to read. | |
| 856 | 4 | 0 |
_uhttps://arxiv.org/pdf/2012.12585v1 _yRead the full paper (PDF) |
| 942 | _cERES | ||
| 999 |
_c702 _d702 |
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