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We propose a numerical method for the conformal mapping of unbounded multiply connected domains exterior to closed Jordan curves C 1, . . . ,C  n  onto a canonical linear slit domain, which is the entire plane with linear slits S 1, . . . , S  n  of angles θ 1, . . . , θ  n  arbitrarily assigned to the real axis, respectively. If θ 1 = · · · = θ  n  = θ then it is the well-known parallel slit domain, which is important in the problem of potential flows past obstacles. In the method, we reduce the mapping problem to a boundary value problem for an analytic function, and approximate it by a linear combination of complex logarithmic functions based on the charge simulation method. Numerical examples show the effectiveness of our method.

Numerical conformal mappings onto the linear slit domain