Research interests
My research interests currently focus on fundamental aspects of numerical algorithms, advanced numerical methods and high-performance computing for development and use in advanced engineering tools.
- Numerical Analysis & Scientific Computing methods for both ordinary and partial differential equations
- Software development
- Wave models in Coastal engineering
- High-performance computing, e.g. Scientific GPU Computing (see GPULAB)
- Iterative Methods for large-scale computations
Current and past research projects
- Adaptive Simulations of Nonlinear Structures in Magnetized Plasma (2010-2013)
- Desktop Scientific Computing on Consumer Graphics Cards (2010-2013)
- Modelling Nonlinear Wave Interaction with Floating OceanEnergy Devices (2010-2013)
- Multiscale simulations of wave forces on ocean energy devices (2008-2010)
- Direct solutions to the exact Laplace problem (2006-2008)
- Unstructured Nodal DG-FEM Solution of high-order Boussinesq-type equations (2003-2006, PhD Thesis)
- Development of a spectral element model for fully nonlinear water waves (2002-2003, MSc Thesis)
Supervision in student research projects
- Curving Dynamics in High Speed Trains (M.Sc., Feb 2011-Aug 2011)
- Fusion Plasma Thermal Transport Radial and Poloidal Profile Modeling (M.Sc., Sep 2010-Jun 2011)
- Acceleration of a non-linear water wave model using a GPU (M.Sc.,May 2010-Dec 2011)
- Curving dynamics of railway vehicles (Sep 2009-Dec 2010)
- Marine simulation and rendering (M.Sc., Sep 2009 - Mar 2010)
- Development of a scalable parallel solver to the Laplace problem for nonlinear water waves (M.Sc., Dec 2008 - Jun 2009).
- Wave structure interaction by a high-order finite-difference based potential flow solver (M.Sc., 2008).
- A multigrid preconditioner to the Laplace problem for nonlinear ocean waves (M.Sc., 2007).
- A DG-FEM shallow water solver for fluid damping systems (Ph.D., 2007)
Highlights
A nodal Discontinuous Galerkin Method for wave-structure interaction
Collaborators:
- Harry Bingham (Technical University of Denmark, Denmark)
- Jan Hesthaven (Brown University, USA)
- Tim Warburton (Rice University, USA)
- Per Madsen (Technical University of Denmark, Denmark).
An efficient flexible-order finite difference model for 3D nonlinear water waves (OceanWave3D)
Collaborators:
- Harry Bingham (Technical University of Denmark, Denmark)
- Ole Lindberg (Technical University of Denmark, Denmark)