Dr David Graham
Profiles

Dr David Graham

Associate Professor (Senior Lecturer)

School of Computing, Electronics and Mathematics (Faculty of Science and Engineering)

Qualifications

BSc (hons) 2(i) Mathematics, University of Leeds, 1981.

PhD "Finite Element Modelling of Glass Fabrication Process", University of Sheffield 1988.

Teaching interests

I co-ordinate SUM:UP providing numeracy, mathematics and statistics support for students across the University.

I lead the following modules:

Ordinary Differential Equations MATH2603 (Second-year degree)

Fluid Dynamics MATH3610 (Final-year degree)

Mathematics Project MATH3602 (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

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 are highlighted

Journals
Articles
Zhang Y, Zou Q, Greaves D, Reeve D, Hunt-Raby A, Graham D, James P & Lv X 2010 'A Level Set Immersed Boundary Method for Water Entry and Exit' COMMUNICATIONS IN COMPUTATIONAL PHYSICS 8, (2) 265-288 , DOI
Hughes JP & Graham DI 2010 'Comparison of incompressible and weakly-compressible SPH models for free-surface water flows' JOURNAL OF HYDRAULIC RESEARCH 48, 105-117 Author Site , DOI
Shao SD, Ji CM, Graham DI, Reeve DE, James PW & Chadwick AJ 2006 'Simulation of wave overtopping by an incompressible SPH model' Coastal Engineering 53, (9) 723-735
Graham DI 2004 'Development of particle dispersion characteristics from arbitrary initial conditions in isotropic turbulence' Journal of Fluid Mechanics 501, 149-168
Zoakos S, Dyke P & Graham D 2004 'Frictional effects on trapped shelf waves' Ocean Dynamics 54, (2) 243-249
Graham DI 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
Graham DI & Moyeed RA 2002 'How many particles for my Lagrangian simulations?' Powder Technology 125, (2-3) 179-186
Graham DI 2001 'Spectral Characteristics of Eddy Interaction Models' International Journal of Multiphase Flow 27 (6), 1065-1077 , DOI
Graham DI 2000 'Turbulence attenuation by small particles in simple shear flows' JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 122, (1) 134-137 Author Site , DOI
Graham DI 1998 'Improved eddy interaction models with random length and time scales' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 24, (2) 335-345 Author Site , DOI
Graham DI 1997 'Turbulence modification in the limiting cases of heavy- and tracer-particles' JOURNAL OF FLUIDS ENGINEERING-TRANSACTIONS OF THE ASME 119, (2) 458-460 Author Site , DOI
Graham DI 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 Author Site , DOI
Graham DI 1996 'Dispersion of initially-static and initially-excited particles in a turbulent fluid flow' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (5) 1005-1021 Author Site , DOI
Graham DI 1996 'On the inertia effect in eddy interaction models' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (1) 177-184 Author Site , DOI
Graham DI & James PW 1996 'Turbulent dispersion of particles using eddy interaction models' INTERNATIONAL JOURNAL OF MULTIPHASE FLOW 22, (1) 157-175 Author Site , DOI
GRAHAM DI, JAMES PW, JONES TER, DAVIES JM & DELO EA 1994 'MEASUREMENT AND PREDICTION OF SURFACE SHEAR-STRESS IN ANNULAR FLUME - CLOSURE' JOURNAL OF HYDRAULIC ENGINEERING-ASCE 120, (3) 416-417 Author Site , DOI
GRAHAM DI & JONES TER 1994 'SETTLING AND TRANSPORT OF SPHERICAL-PARTICLES IN POWER-LAW FLUIDS AT FINITE REYNOLDS-NUMBER' JOURNAL OF NON-NEWTONIAN FLUID MECHANICS 54, 465-488 Author Site , DOI
GRAHAM DI, JAMES PW, JONES TER, DAVIES JM & DELO EA 1992 'MEASUREMENT AND PREDICTION OF SURFACE SHEAR-STRESS IN ANNULAR FLUME' JOURNAL OF HYDRAULIC ENGINEERING-ASCE 118, (9) 1270-1286 Author Site , DOI
Conference Papers
Ransley EJ, Greaves D, Graham D, Kyte A, Qian L, Causon D, Mingham C, Zang J, Ma Q & Tabor G 2016 'Developing a National Community-serving Numerical Wave Tank Facility' in Proceedings of the 3rd PRIMaRE Conference Bath, UK 05/07/2016 06/07/2016
Graham DI, langfeld K, mehmood A & greaves D 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 26/06/2016 01/07/2016 PEARL
Graham DI, Langfeld K, Greaves D, Mehmood A & Reis T 2016 'The Virtual Source Approach to Non-Linear Potential Flow Simulations' Twenty-sixth (2016) International Ocean and Polar Engineering Conference Rhodes, Greece 26/06/2016 01/07/2016 PEARL
Graham DI, mehmood A, langfeld K & greaves D 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 21/06/2015 26/06/2015 PEARL
Graham DI & Hughes JP 2008 'Accuracy of SPH viscous flow models' //0 //0 1261-1269 , DOI
Shao S, Reeve D, Chadwick AJ, James P & Graham D 2006 'Simulation of wave overtopping seawall by SPH model' //0 //0 Barcelona
Zoakos S, Dyke PPG & Graham DI 2000 'Turbulence closure models for stratified seas' //0 //0 513-522

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

Links

School of Mathematics and Statistics

SUM:UP

Industrial and Engineering Mathematics Research Group