- Room 206, 2 Kirkby Place, Drake Circus, Plymouth, PL4 8AA
- +44 1752 586880
- D.Graham@plymouth.ac.uk
Profiles
Dr David Graham
Visiting Researcher
School of Engineering, Computing and Mathematics (Faculty of Science and Engineering)
David can be contacted through arrangement with our Press Office, to speak to the media on these areas of expertise.
- Applied mathematics
- Fluid flow
- Numerical simulations
- Mathematical modelling
- Support for learning mathematics
- Novel assessment in mathematics
Email publicrelations@plymouth.ac.uk to enquire.
Qualifications
BSc (hons) 2(i) Mathematics, University of Leeds, 1981.
PhD "Finite Element Modelling of Glass Fabrication Process", University of Sheffield 1988.
Key publications
2020 'An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation' Journal of the Operational Research Society 1-17 , DOI Open access
'Modelling the effects of slip on dipole/wall collision problems using a lattice Boltzmann equation method' Physics of Fluids , DOI Open access
Teaching interests
I co-ordinate SUM:UP providing numeracy, mathematics and statistics support for students across the University.
I lead the following modules:
Mathematics for Computing MATH054 (Foundation year)
Ordinary Differential Equations MATH2603 (Second-year degree)
Fluid Dynamics MATH3629 (Final-year degree)
I am also interested in computer algebra systems (Maple) and in computer-based assessment (Maple TA) as well as audience response 'clicker' systems and alternative assessment methods.
Staff serving as external examiners
External Examiner: Mathematical Sciences Undergraduate , Sheffield Hallam University, 2014-2018.
External Examiner: Mathematical Sciences Undergraduate , University of the West of England, 2006-2011.
PhD Strasbourg University 1998
M.Phil Manchester University 2011
Eng. D. Cranfield Univerrsity, 2012
PhD Strasbourg University 1998
M.Phil Manchester University 2011
Eng. D. Cranfield Univerrsity, 2012
Research interests
Fluid Dynamics especially analysis of Turbulence and Multiphase Flows, and including free and moving boundaries.
Computation / Numerical Techniques including Finite Elements / Finite Differences / Finite volume / Boundary Elements / Stochastic models / Smoothed Particle Hydrodynamics / Lattice Boltzmann techniques
Computational Fluid Dynamics including use of in-house and commercial packages including CFX and OpenFOAM.
Wave Impacts; Coastally Trapped Waves
Mathematical finance including Monte Carlo and evolutionary algorithmic methods for pricing financial derivatives, portfolio evaluation.
Also interested in novel assessment methods for degree-level mathematics and other pedagogical issues.
Key publications
2020 'An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation' Journal of the Operational Research Society 1-17 , DOI Open access
'Modelling the effects of slip on dipole/wall collision problems using a lattice Boltzmann equation method' Physics of Fluids , DOI Open access
Key publications are highlighted
Journals
Articles
2020 'Hydrodynamics of onshore oscillating water column devices: A numerical study using smoothed particle hydrodynamics' Ocean Engineering 218, 0-0 , DOI Open access
2020 'A Blind Comparative Study of Focused Wave Interactions with Floating Structures (CCP-WSI Blind Test Series 3)' International Journal of Offshore and Polar Engineering 30, (1) 1-10 , DOI Open access
2020 'An Exact Algorithm for Small-Cardinality Constrained Portfolio Optimisation' Journal of the Operational Research Society 1-17 , DOI Open access
2019 'A blind comparative study of focused wave interactions with a fixed FPSO-like structure (CCP-WSI Blind Test Series 1)' International Journal of Offshore and Polar Engineering Open access
2018 'Assessing moment-based boundary conditions for the lattice
Boltzmann equation: A study of dipole-wall collisions' Computers and Fluids 176, 79-96 , DOI Open access
2010 'A Level Set Immersed Boundary Method for Water Entry and Exit' COMMUNICATIONS IN COMPUTATIONAL PHYSICS 8, (2) 265-288 , DOI
2010 'Comparison of incompressible and weakly-compressible SPH models for free-surface water flows' JOURNAL OF HYDRAULIC RESEARCH 48, 105-117 , DOI
2006 'Simulation of wave overtopping by an incompressible SPH model' Coastal Engineering 53, (9) 723-735
2004 'Development of particle dispersion characteristics from arbitrary initial conditions in isotropic turbulence' Journal of Fluid Mechanics 501, 149-168
2004 'Frictional effects on trapped shelf waves' Ocean Dynamics 54, (2) 243-249
2004 'The influence of small particles on the structure of a turbulent shear flow' Journal of Fluids Engineering-Transactions of the Asme 126, (4) 613-619
2002 'How many particles for my Lagrangian simulations?' Powder Technology 125, (2-3) 179-186
2001 'Spectral Characteristics of Eddy Interaction Models' International Journal of Multiphase Flow 27 (6), 1065-1077 , DOI
2000 'Turbulence attenuation by small particles in simple shear flows' JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 122, (1) 134-137 , DOI
1999 'Development of particle turbulence' Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)
1999 'Particle dispersion in a uniform turbulent shear flow - a comparison of Lagrangian models' Proceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)
1998 'Improved eddy interaction models with random length and time scales' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 24, (2) 335-345 , DOI
1998 'Improved eddy interaction models with random length and time scales' International Journal of Multiphase Flow 24, (2-7) 335-345 , DOI
1997 'Turbulence modification in the limiting cases of heavy- and tracer-particles' JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 119, (2) 458-460 , DOI
1996 'An improved eddy interaction model for numerical simulation of turbulent particle dispersion' JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 118, (4) 819-823 , DOI
1996 'Dispersion of initially-static and initially-excited particles in a turbulent fluid flow' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (5) 1005-1021 , DOI
1996 'Dispersion of solid particles in turbulent flow through pipe expansions' IMA Journal of Management Mathematics 7, (2) 149-179 , DOI
1996 'On the inertia effect in eddy interaction models' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (1) 177-184 , DOI
1996 'Turbulent dispersion of particles using eddy interaction models' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (1) 157-175 , DOI
1994 'SETTLING AND TRANSPORT OF SPHERICAL-PARTICLES IN POWER-LAW FLUIDS AT FINITE REYNOLDS-NUMBER' JOURNAL OF NON-NEWTONIAN FLUID MECHANICS 54, 465-488 , DOI
1994 'MEASUREMENT AND PREDICTION OF SURFACE SHEAR-STRESS IN ANNULAR FLUME - CLOSURE' JOURNAL OF HYDRAULIC ENGINEERING-ASCE 120, (3) 416-417 , DOI
1992 'MEASUREMENT AND PREDICTION OF SURFACE SHEAR-STRESS IN ANNULAR FLUME' JOURNAL OF HYDRAULIC ENGINEERING-ASCE 118, (9) 1270-1286 , DOI
'Modelling the effects of slip on dipole/wall collision problems using a lattice Boltzmann equation method' Physics of Fluids , DOI Open access
Conference Papers
2019 'Smoothed Particle Hydrodynamics (SPH) Modelling of Tsunami Waves Generated by a Fault Rupture' ISOPE 2019 6-/-0/20196-/-0/2019Open access
2017 'Exploring the (Efficient) Frontiers of Portfolio Optimization' GECCO 2017 Berlin, Germany 7-/-0/20177-/-0/2017ACM , DOI Open access
2017 'SPH Modelling of the Impact of a Flat Plate upon an Aerated Water Surface' International Society of Offshore & Polar Engineers, 2017 San Francisco 6-/-0/20176-/-0/2017Open access
2016 'Developing a National Community-serving Numerical Wave Tank Facility' in Proceedings of the 3rd PRIMaRE Conference Bath, UK 7-/-0/20167-/-0/2016Open access
2016 'Numerical Simulation of Nonlinear Water Waves based on
Fully Nonlinear Potential Flow Theory in OpenFOAM-Extend' Twenty-sixth (2016) International Ocean and Polar Engineering Conference Rhodes, Greece 6-/-0/20167-/-0/2016Open access
2016 'The Virtual Source Approach to Non-Linear Potential Flow Simulations' Twenty-sixth (2016) International Ocean and Polar Engineering Conference Rhodes, Greece 6-/-0/20167-/-0/2016Open access
2015 'OpenFOAM Finite Volume Method Implementation of a Fully Nonlinear
Potential Flow Model for Simulating Wave-Structure Interactions' Twenty-fifth (2015) International Ocean and Polar Engineering Conference Hawaii, USA 6-/-0/20156-/-0/2015Open access
2006 'Numerical Simulation of Wave Overtopping Using an Incompressible SPH Method' Fifth International Conference on Coastal Dynamics American Society of Civil Engineers , DOI
2006 'Simulation of wave overtopping seawall by SPH model' Barcelona
2000 'Turbulence closure models for stratified seas' 513-522
1998 'Turbulence modulation by particles in homogeneous shear'
1997 'Turbulence modulation in eddy interaction models'
1995 'Improved eddy interaction model for numerical simulation of turbulent particle dispersion' 161-167
1995 'Momentum transfer in particle dispersion through pipe expansions' 435-439
'LATTICE BOLTZMANN MODELLING OF PULSATILE FLOW USING MOMENT BOUNDARY CONDITIONS' ECCM ECFD 2018 Glasgow, UK 6-/-0/20186-/-0/2018Open access
'An investigation of the hydrodynamic characteristics of an oscillating water column device using a level set immersed boundary model' in Zhang Y; Zou QP; Reeve D; Hunt-Raby A; Graham D; James P ISOPE 2010 Beijing, China 6-/-0/20106-/-0/2010
'Accuracy and Stability of Virtual Source Method for Numerical Simulations of Nonlinear Water Waves' The 28th International Ocean and Polar Engineering Conference Sapporo, Japan 6-/-0/20186-/-0/2018Open access
Other Publications
Sifted QP solutions for portfolio optimisation problems dataset. Open access
A Matrix-Based Evolutionary Algorithm for Cardinality-Constrained Portfolio Optimisation. Open access
Other academic activities
Consultant for LTSN HELM (Helping Everyone Learn Mathematics) project (Loughborough University). 2004-2006
Consultant for LTSN mathtutor project (University of Leeds) 2004 - 2006.
SIGMA mentor 2012