5 citations · 21 across the 14 of their papers we have counts for
4 papers · 1 filter
Two novel families of multiscale staggered patch schemes efficiently simulate large-scale, weakly damped, linear waves
J. Divahar, A. J. Roberts, Trent W. Mattner +2
Many multiscale wave systems exhibit macroscale emergent behaviour, for example, the fluid dynamics of floods and tsunamis. Resolving a large range of spatial scales typically requ…
Staggered grids for multidimensional multiscale modelling
J. Divahar, A. J. Roberts, Trent W. Mattner +2
Numerical schemes for wave-like systems with small dissipation are often inaccurate and unstable due to truncation errors and numerical roundoff errors. Hence, numerical simulation…
Accurate macroscale modelling of spatial dynamics in multiple dimensions
A. J. Roberts, Tony MacKenzie, J. E. Bunder
Developments in dynamical systems theory provides new support for the macroscale modelling of pdes and other microscale systems such as Lattice Boltzmann, Monte Carlo or Molecular…
Computer algebra derives the slow manifold of patch or element dynamics on lattices in two dimensions
Tony MacKenzie, A. J. Roberts
Developments in dynamical systems theory provides new support for the discretisation of \pde{}s and other microscale systems. Here we explore the methodology applied to the gap-too…