A Study on Improvement of Wegmann`s method by Low Frequency pass Filter


The KIPS Transactions:PartA, Vol. 8, No. 4, pp. 503-508, Dec. 2001
10.3745/KIPSTA.2001.8.4.503,   PDF Download:

Abstract

Conformal mapping is useful to solve problems in heat conduction, electrostatic potential and fluid flow involving Laplace's equation in two independent variables. Determinations of conformal maps from the unit disk onto a Jordan region eventually requires solving the Theodorsen equation which is in general nonlinear with respect to the boundary correspondence function. Hubner's method which has been well known for the efficient method among the many suggestions for the Theodorsen equation, was improved in early study[1, 2]. In this paper Wegmann's method is treated that is more efficient in computation cost rather than Hubner's. But we found that a question which is divergent in some difficult problems by numerical experiment of Wegmann's iteration. We analyze theoretically the cause of divergence and propose an improved method by applying a low frequency filter to the Wegmann's method. Numerical experiments by our improved method show convergence for all divergent problems by Wegmann's method.


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Cite this article
[IEEE Style]
E. J. Song, "A Study on Improvement of Wegmann`s method by Low Frequency pass Filter," The KIPS Transactions:PartA, vol. 8, no. 4, pp. 503-508, 2001. DOI: 10.3745/KIPSTA.2001.8.4.503.

[ACM Style]
Eun Jee Song. 2001. A Study on Improvement of Wegmann`s method by Low Frequency pass Filter. The KIPS Transactions:PartA, 8, 4, (2001), 503-508. DOI: 10.3745/KIPSTA.2001.8.4.503.