Browsing College of Science by Author "Madden, Niall"
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Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
Madden, Niall (2011)We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the time-dependent advection-diffusion equation posed on a ... -
On the application of robust numerical methods to a complete flow wave-current model. Boundary and Interior Layers ONERA
Madden, Niall (2004)We aim to show how parameter-robust numerical method may be employed to solve equations arising in the modelling of wave-current interactions.We present two such models: a complete flow model for wave-current interaction ... -
Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions
Madden, Niall (2012)We consider the problem of solving linear systems of equations that arise in the numerical solution of singularly perturbed ordinary and partial differential equations of reaction-diffusion type. Standard discretization ... -
A two-weight scheme for a time-dependent advection-diffusion problem
Chadha, Naresh M.; Madden, Niall (2011)We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, ...