212 citations · 324 across the 7 of their papers we have counts for
8 papers
Zigzag persistence for coral reef resilience using a stochastic spatial model
Robert A. McDonald, Rosanna Neuhausler, Martin Robinson +3
A complex interplay between species governs the evolution of spatial patterns in ecology. An open problem in the biological sciences is characterising spatio-temporal data and unde…
Particle-based simulations of reaction-diffusion processes with Aboria
Maria Bruna, Philip K. Maini, Martin Robinson
Mathematical models of transport and reactions in biological systems have been traditionally written in terms of partial differential equations (PDEs) that describe the time evolut…
Particle-based and Meshless Methods with Aboria
Martin Robinson, Maria Bruna
Aboria is a powerful and flexible C++ library for the implementation of particle-based numerical methods. The particles in such methods can represent actual particles (e.g. Molecul…
Diffusion of particles with short-range interactions
Maria Bruna, S. Jonathan Chapman, Martin Robinson
A system of interacting Brownian particles subject to short-range repulsive potentials is considered. A continuum description in the form of a nonlinear diffusion equation is deriv…
Recent advances in the simulation of particle-laden flows
Jens Harting, Stefan Frijters, Marco Ramaioli +3
A substantial number of algorithms exists for the simulation of moving particles suspended in fluids. However, finding the best method to address a particular physical problem is o…
Adaptive two-regime method: application to front propagation
Martin Robinson, Mark Flegg, Radek Erban
The Adaptive Two-Regime Method (ATRM) is developed for hybrid (multiscale) stochastic simulation of reaction-diffusion problems. It efficiently couples detailed Brownian dynamics s…
Fluid-particle flow and validation using two-way-coupled mesoscale SPH-DEM
Martin Robinson, Stefan Luding, Marco Ramaioli
First, a meshless simulation method is presented for multiphase fluid-particle flows with a two-way coupled Smoothed Particle Hydrodynamics (SPH) for the fluid and the Discrete Ele…
Direct Numerical Simulation of decaying two-dimensional turbulence in a no-slip square box using Smoothed Particle Hydrodynamics
Martin Robinson, Joseph J. Monaghan
This paper explores the application of SPH to a Direct Numerical Simulation (DNS) of decaying turbulence in a two-dimensional no-slip wall-bounded domain. In this bounded domain, t…