12 citations · 17 across the 6 of their papers we have counts for
7 papers
Fast computation of analytic capacity
Mohamed M S Nasser, Christopher C. Green, Matti Vuorinen
A boundary integral equation method is presented for fast computation of the analytic capacities of compact sets in the complex plane. The method is based on using the Kerzman--Ste…
Towards computing the harmonic-measure distribution function for the middle-thirds Cantor set
Christopher C. Green, Mohamed M. S. Nasser
This paper is concerned with the numerical computation of the harmonic-measure distribution function, or -function for short, associated with a particular planar domain. This fu…
Selection of a Hele-Shaw bubble via exponential asymptotics
Christopher J. Lustri, Christopher C. Green, Scott W. McCue
The well-studied selection problems involving Saffman-Taylor fingers or Taylor-Saffman bubbles in a Hele-Shaw channel are prototype examples of pattern selection. Exact solutions t…
The effect of surface tension on steadily translating bubbles in an unbounded Hele-Shaw cell
Christopher C Green, Christopher J Lustri, Scott W McCue
New numerical solutions to the so-called selection problem for one and two steadily translating bubbles in an unbounded Hele-Shaw cell are presented. Our approach relies on conform…
A fast numerical method for ideal fluid flow in domains with multiple stirrers
Mohamed M. S. Nasser, Christopher C. Green
A collection of arbitrarily-shaped solid objects, each moving at a constant speed, can be used to mix or stir ideal fluid, and can give rise to interesting flow patterns. Assuming…
Exact solutions for a periodic assembly of bubbles in a Hele-Shaw channel
Giovani L. Vasconcelos, Christopher C. Green
Exact solutions are reported for a periodic assembly of bubbles steadily co-travelling in a Hele-Shaw channel. The solutions are obtained as conformal mappings from a multiply conn…
Multiple steadily translating bubbles in a Hele-Shaw channel
Christopher C. Green, Giovani L. Vasconcelos
Analytical solutions are constructed for an assembly of any finite number of bubbles in steady motion in a Hele-Shaw channel. The solutions are given in the form of a conformal map…