43 citations · 51 across the 4 of their papers we have counts for
4 papers
Geometric modelling of polycrystalline materials: Laguerre tessellations and periodic semi-discrete optimal transport
D. P. Bourne, M. Pearce, S. M. Roper
In this paper we describe a fast algorithm for generating periodic RVEs of polycrystalline materials. In particular, we use the damped Newton method from semi-discrete optimal tran…
A new implementation of the geometric method for solving the Eady slice equations
Charlie P. Egan, David P. Bourne, Colin J. Cotter +4
We present a new implementation of the geometric method of Cullen & Purser (1984) for solving the semi-geostrophic Eady slice equations which model large scale atmospheric flows an…
Laguerre tessellations and polycrystalline microstructures: A fast algorithm for generating grains of given volumes
D. P. Bourne, P. J. J. Kok, S. M. Roper +1
We present a fast algorithm for generating Laguerre diagrams with cells of given volumes, which can be used for creating RVEs of polycrystalline materials for computational homogen…
Centroidal power diagrams, Lloyd's algorithm and applications to optimal location problems
David Bourne, Steven Roper
In this paper we develop a numerical method for solving a class of optimization problems known as optimal location or quantization problems. The target energy can be written either…