Theoretical and Applied Mechanics
Online ISSN : 1349-4236
Print ISSN : 0285-6042
V. Fluid Dynamics and Heat Transfer
Stagnation Point Analysis by the Numerical Conformal Mapping Using the Charge Simulation Method
Dai OKANOHidenori OGATAKaname AMANO
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2001 Volume 50 Pages 303-309

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Abstract

Recently, we proposed an integrated method for the problem of numerical conformal mappings of the unbounded multiply-connected domains onto the canonical slit domains of Nehari (1952). The problem is important in potential flow analysis. Our method which uses the charge simulation method offers not only highly accurate mapping functions, but also their analytical derivatives. This enables us to use various formulas for applications, which would be useful but lack easy numerical implementation. In this paper, as a simple example, we offer a Newton’s iteration method for computing the stagnation points around obstacles placed in the uniform potential flow. The algorithm is simple, and as shown, the numerical experiments give high accuracy.

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© 2001 by National Committee for IUTAM
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