My interests lie in the numerical solution of PDEs, applications of Numerical Linear Algebra, High Performance Computing and Parallel Computing.

My PhD thesis examined the transient growth of perturbations to a steady flow in an expanding pipe - that is, the how slight disturbances to the flow entering the pipe develop as they move downstream. This research was conducted via a Spectral/hp-Fourier method using SEMTEX written by Dr. Hugh Blackburn.

• Transient growth analysis of flow through a sudden expansion in a circular pipe, C.D.Cantwell, D.Barkley, H.M.Blackburn, Phys. Fluids (to appear) [ pdf ]
• Transient growth of separated flows, C.D.Cantwell, PhD thesis [ pdf ]

• Global approach to convective instability in the cylinder wake, C.D.Cantwell, D.Barkley
• Turbulent puff generation in an expanding pipe, C.D.Cantwell, D.Barkley

• "Noise-driven flow in an expanding pipe." BAMC 2009, Nottingham (April 2009)
• "Transient growth of perturbations in an expanding pipe" EFMC7, Manchester (September 2008)
• "DimSplit++: C++ Concepts and Design" Computational Methods for Pricing and Hedging Exotic Options (July 2008)
• "PBS Pro and CSC" CSC Postgraduate Breakfast Seminar on Numerical Methods (January 2008)

My MSc Thesis Computational Linear Stability Analysis of Flow Past a Circular Cylinder is available in the CSC E-prints archive.