Analytical solution for potential flow across two circular cylinders using the BIE in conjunction with degenerate kernels of bipolar coordinates

Chen, Jeng‐Tzong; Chou, Yen-Ting; Kao, Jui-Hsiang; Lee, Jia-Wei

doi:10.1016/j.aml.2022.108137

Cited by 5 publications

(1 citation statement)

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“…The primary breakthrough highlighted in [1] was the effective utilization of the boundary integral equation to address, for the first time, the potential flow problem around a cylinder. Expanding upon successful experiences, the potential flow problem was extended from a single circular cylinder to double circular cylinders through the application of the degenerate kernel of bipolar coordinates [2]. With the aid of the degenerate kernel of bipolar coordinates, deriving the exact solution in series form for the potential flow problem around double circular cylinders becomes feasible.…”

Section: Introductionmentioning

confidence: 99%

Application of Regularized Meshless Method with Error Estimation Technique for Water–Wave Scattering by Multiple Cylinders

Chen,

Kao,

Hsu

2024

JMSE

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In this manuscript, we will apply the regularized meshless method, coupled with an error estimation technique, to tackle the challenge of modeling oblique incident waves interacting with multiple cylinders. Given the impracticality of obtaining an exact solution in many real engineering problems, we introduce an error estimation technique designed to achieve reliable solutions. This technique excels in providing dependable solutions that closely approximate analytical solutions. An additional advantage is its capacity to identify the optimal number of points for both source and collocating points, thereby enhancing computational efficiency. The validity of the proposed method will be demonstrated through three numerical cases, presenting results that exhibit substantial agreement.

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Section: Introductionmentioning

confidence: 99%