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Centre for Mathematical Modelling and Flow
Analysis
Selected Publications
Book Chapters
1. CG Mingham (2003), Advanced Numerical Methods for Coastal
Hydrodynamics, in: VC Lakhan (eds) pp 73- 91. ISBN 0-444-51149-0.
Refereed Journal Papers
26. DM Ingram, P Troch , F Gao, T Li, DM Causon and CG Mingham,
Numerical Investigations of wave overtopping at coastal structures,
Special issue of Coastal Engineering for the EU CLASH project (in
press).
25. CG Mingham and DM Causon, A simple high-resolution advection
scheme, International Journal for Numerical Methods in Fluids. DOI
10.1002/fld.1536 (in press).
24. F Gao, DM Ingram , DM Causon and CG Mingham (2007), The development
of a Cartesian Cut Cell method for incompressible viscous flows,
International Journal for Numerical Methods in Fluids 54(9): 1033-1053.
DOI 10.1002/fld.1409.
23. L Qian, DM Causon, CG Mingham and DM Ingram (2006), A Free-Surface
Capturing Method for Two Fluid Flows with Moving Bodies, Proceedings of
the Royal Society: A 462 (2065):21-42.ISSN 1364-5021.
22. K Hu, CG Mingham and DM Causon (2005), A Mesh Patching Method for
Finite Volume Modelling, International Journal for Numerical Methods in
Fluids, 50(12): 1381-1404.
21. L Qian, CG Mingham, DM Causon, DM Ingram, M Folley and TJ Whittaker
(2005), Numerical Simulation of Wave Power Devices Using a Two Fluid
Free Surface Solver, Modern Physics Letters B 19, No.28-29:51-54. ISSN
0217-9849.
20. DC Wedge, DM Ingram, CG Mingham, D McLean, ZA Bandar (2005), On
Neural Network Architectures and Overtopping Predictions, Proceedings
of the Institution of Civil Engineers: Maritime Engineering
158(MA3):123-133. ISSN 1741-7597.
19. JB Shiach, CG Mingham, DM Ingram and T Bruce (2004), The
applicability of the shallow water equations for modelling violent wave
overtopping, Coastal Engineering 51(1):1-15. ISSN 0378-3839.
18. JG Zhou, DM Causon, CG Mingham and DM Ingram (2004), Numerical
Prediction of Dam-Break Flows in General Geometries with Complex Bed
Topography, Journal of Hydraulic Engineering – ASCE 130 (4):332-340.
ISSN 0733-9429.
17. DM Ingram, DM Causon and CG Mingham (2003), Developments in
Cartesian Cut Cell Methods, Mathematics and Computers in Simulation
61(3-6):561-572. ISSN 0378-4754.
16. L De La Fuente, DM Causon, DM Ingram, CG Mingham and DW Raper
(2003), Towards Simulating Urban Canyon Circulations with a 2D Lattice
Boltzmann Model, Environmental Modelling and Software 18 (1):71-79.
ISSN 1364-8152.
15. L de la Fuente, DM Ingram, CG Mingham, DM Causon and X-Y He (2003),
Enhancing Stability of Lattice-Boltzmann Simulations via New Boundary
Conditions, International Journal of Modern Physics C 14:29-40.
14. L Qian, DM Causon, DM Ingram and CG Mingham (2003), Cartesian Cut
Cell Two-Fluid Solver for Hydraulic Flow Problems, Journal of Hydraulic
Engineering 129(9):688-696. ISSN 0733-9429.
13. JG Zhou, DM Causon, DM Ingram and CG Mingham (2002), Numerical
Solutions of the Shallow Water Equations with Discontinuous Bed
Topography, International Journal for Numerical Methods in Fluids
38:769-788. ISSN 0271-2091.
12. DM Causon, DM Ingram and CG Mingham (2001), A Cartesian Cut Cell
Method for Shallow Water Flows with Moving Boundaries, Advances in
Water Resources 24(2001):899-911. ISSN 0309-1708.
11. CG Mingham, DM Causon and DM Ingram (2001), A TVD MacCormack Scheme
for Transcritical Flow, Proceedings of the ICE: Water and Maritime
Engineering 148(3):167-175. ISSN 1472-4561.
10. JG Zhou, DM Causon, CG Mingham and DM Ingram (2001), The Surface
Gradient Method for the Treatment of Source Terms in the Shallow Water
Equations, Journal of Computational Physics 168:1-25. ISSN 0021-9991.
9. K Hu, CG Mingham and DM Causon (2000), Numerical Simulation of Wave
Overtopping of Coastal Structures Using the Non-linear Shallow Water
Equations, Coastal Engineering 41:433-465. ISSN 0378-3839.
8. DM Causon, DM Ingram, CG Mingham, G Yang and RV Pearson (2000),
Calculation of Shallow Water Flows Using a Cartesian Cut Cell Approach,
Advances in Water Resources 23:545-562. ISSN 0309-1780.
7. CG Mingham and DM Causon (2000), Calculation of Unsteady Bore
Diffraction Using a High Resolution Finite Volume Method, Journal of
Hydraulic Research 38(1):1-15. ISSN 0022-1686.
6. DM Causon, CG Mingham and DM Ingram (1999), Advances in Calculation
Methods for Supercritical Flows in Spillway Channels, Journal of
Hydraulic Engineering 125(10):1039-1050. ISSN 0733-9429.
5. K Hu, CG Mingham and DM Causon (1998), A Bore Capturing Finite
Volume Method for Open Channel Flow, International Journal for
Numerical Methods in Fluids 28:1241-1261. ISSN 0271-2091.
4. CG Mingham and DM Causon (1998), A High Resolution Finite Volume
Method for the Shallow Water Equations, Journal of Hydraulic
Engineering 124(6):605-614. ISSN 0733-9429.
3. CG Mingham and DM Causon (1996), High Resolution Finite Volume
Modelling of the Shallow Water Equations with Applications, Zeitschrift
fuer Angewandte Mathematik und Mechanik 76(S1):481-482. ISSN 0044-2267.
2. PS Crossley, R Saunders, DM Causon and CG Mingham (1996), A Spectral
Method with Sub-cell Resolution for Shock Wave Calculations, Applied
Numerical Mathematics 21(2):141-153. ISSN 0168-9274.
1. PS Crossley, R Saunders, DM Causon and CG Mingham (1995), A Spectral
Method with Subcell Resolution for Shock Wave Calculations, Applied
Numerical Modelling 20(2):141-153.
Conference Papers
33. F Gao, DM Ingram, DM Causon and CG Mingham (2007), Numerical
Modelling of Wave Interaction with Porous Structures. New trends in
fluid mechanics research. Proceeding of the Fifth International
Conference on Fluid Mechanics, August, 2007, Shanghai, China, Tsinghua
University Press & Springer. pp 514-517, ISBN 978-7-89486-552-6.
32. L Qian, DM Causon and CG Mingham (2007), Development of a 3D Free
Surface Capturing Code for Coastal Engineering Flow Problems. New
trends in fluid mechanics research, Proceeding of the Fifth
International Conference on Fluid Mechanics, Aug.15-19, 2007, Shanghai,
China, Tsinghua University Press & Springer. pp 328-331, ISBN
978-7-89486-552-6.
31. N Subramaniam, FF Li, DM Ingram and CG Mingham (2006), Generation
of Reflection-free Waves in a Numerical Flume using PID Feedback
Control, ICCE 2006.
30. AG Morris, DM Ingram and CG Mingham (2006), Two Dimensional Flood
Simulation Using the Cartesian Cut-Cell Method, Proceeding of the 7th
International Conference on Hydroinformatics Theme: 1.1 "Physical
Modelling" subheading "Physically based models" Article number: 2 in
theme. ISBN 81-903170-6-7.
29. L Qian, CG Mingham, DM Causon and DM Ingram (2006), A parametric
study of the OWSC wave power device using a two-fluid free surface
capturing solver, Proceedings of World Maritime Technology Conference
2006, The Institute of Marine Engineering, Science and Technology,
London, 6-10, March 2006. ISBN 1-902536-54-1.
28. N Subramaniam, FF Li, DM Ingram and CG Mingham (2005), Comparison
of Random Wave Separation Methods in Boussinesq-type Flumes, WAVES
2005, Proc. of 5th International Symposium of Ocean Wave Measurement
and Analysis, Billy Edge and Santas, J.C. (eds).
27. L Qian, CG Mingham, DM Causon, DM Ingram (2005), A numerical study
of the OWSC using a two-fluid free surface capturing code, Proceedings
of 6th European Wave and Tidal Energy Conference, CM Johnstone and AD
Grant (eds), Glasgow, August 29th September 2nd, 2005. ISBN
094764942-5.
26. CG Mingham, L Qian, DM Causon, DM Ingram, M Folley and TJT
Whittaker (2005), A Two-Fluid Numerical Model of the LIMPET OWC, in:
Fifth European Wave Energy Conference. A Lewis and G Thomas (eds)
Hydraulics and Maritime Research Centre, Cork, Ireland pp 119-123. ISBN
0-9502440-5-8.
25. L Qian, CG Mingham, DM Causon and DM Ingram (2004), Numerical
Simulation of a Wave Driven Rotating Vane Using a Two-Fluid Solver, in:
Environmental Modelling and Simulation. L. Ubertini (eds) ACTA Press pp
180-185. IASTED Conference. ISBN 0-88986-443-8
24. CG Mingham, L Qian, DM Causon and DM Ingram (2004), Non-Linear
Simulation of Wave Energy Devices, in: The Proceedings of the
Fourteenth International Offshore and Polar Engineering Conference. JS
Chung (eds) ISOPE pp 194-201. ISBN 1-880653-62-1.
23. DM Causon, CG Mingham, DM Ingram and L Qian (2004), Numerical
Experiments on Slamming of Rigid Wedge-Shaped Bodies, in: The
Proceedings of the Fourteenth International Offshore and Polar
Engineering Conference. JS Chung (eds) ISOPE pp 546-554. ISBN
1-880653-62-1.
22. DM Ingram, F Gao, DM Causon, CG Mingham and P Troch (2004),
Numerical wave flume simulations of seawall overtopping, 29th Int.
Conf. on coastal eng. (ICCE). Lisbon, Portugal, Sept. 2004. Vol. 4, pp
4560-4572.
21. DM Ingram, DM Causon and CG Mingham (2003), Numerical Simulation of
Violent Wave Overtopping, in: Coastal Engineering 2002. JM Smith (eds)
World Scientific, New Jersey pp 2286-2298. ISBN 981-238-238-0.
20. CG Mingham, DM Causon, DM Ingram and SR Richardson (2003),
Numerical Simulation of Wave-Seawall Interaction, in: Coastal
Engineering 2002. JM Smith (eds) World Scientific, New Jersey pp
2264--2272.ISBN 981-238-238-0.
19. DM Ingram, DM Causon, T Bruce, J Pearson, F Gao and CG Mingham
(2003), Numerical and experimental predictions of overtopping volumes
for violent overtopping events, Proceedings of Coastal Structures 2003,
Dr JA Melby (eds). Portland, USA.
18. LF de la Fuente, DM Causon, DM Ingram, CG Mingham and DW Raper
(2002), Simulations of Roof Pitch and Symmetry Effects on Urban Canyon
Circulations Using a 2D Lattice Boltzmann Model, in: Air Pollution
Modelling and Simulation. B Sportisse (eds) Springer-Verlag, Berlin pp
361-371. ISBN 3540425152.
17. SR Richardson, DM Ingram, CG Mingham and DM Causon (2002), On the
Validity of the Shallow Water Equations for Violent Wave Overtopping,
in: Ocean Wave Measurement and Analysis. BL Edge and JM Hemsley (eds)
ASCE, Reston, Virginia pp 1112-1125. ISBN 0-7844-0604-9.
16. JG Zhou, DM Causon, DM Ingram and CG Mingham (2002), Numerical
Simulation of Dam-break Flows with a High Resolution Finite Volume
Method, in: XXIX IAHR Congress Proceedings, Theme D: Hydraulics of
Rivers, Water Works and Machinery. Guifen Li (eds) Tsinghua University
Press, Beijing 100084, China pp 779-784. ISBN 7-302-04676-X.
15. L Qian, DM Causon, DM Ingram and CG Mingham (2002), Numerical
simulation of breaking wave flow past a submerged hydrofoil using the
two-fluid Cartesian Cut Cell approach, Proceedings of the 5th
International Conference on Hydroinformatics, p168-173, Cardiff, 1-5,
July, 2002, RA Falconer and I Cluckie (eds) IWA Publishing. ISBN 1
84339 021 3.
14. L Qian, DM Causon, DM Ingram and CG Mingham (2002), Development of
a two-fluid solver for hydraulic flow Problems, Ninth International
Conference on Hydraulic Information Management, p327-338, Montreal,
Canada, 29-31 May, 2002, CA Brebbia and WR Blain (eds) WIT Press . ISBN
1085312-912-7.
13. DM Causon, DM Ingram, CG Mingham, J Zang, K Hu and JG Zhou (2001),
Numerically Simulating Seawall Overtopping, in: Coastal Engineering
2000. BL Edge (eds) ASCE, Reston, Virginia USA pp 2086-2099. ISBN
0784405492.
12. SR Richardson, DM Ingram, DM Causon and CG Mingham (2001),
Landslide Generated Shallow Water Flows Using a Cartesian Cut Cell
Approach, in: ECCOMAS CFD 2001. Weatherill N and Morgan K (eds)
Institution of Mathematics and Its Applications pp CDROM. ISBN 0 905
091 12 4.
11. L Qian, DM Causon, DM Ingram, JG Zhou and CG Mingham (2001), A
Cartesian Cut Cell Method for Unsteady Viscous Flows, in: ECCOMAS CFD
2001. Weatherill N and Morgan K (eds) Institution of Mathematics and
Its Applications pp CDROM. ISBN 0 905 091 12 4.
10. JG Zhou, DM Causon, CG Mingham and DM Ingram (2001), Mathematical
Modelling of Shallow Water Flows using the Surface Gradient Method, in:
ECCOMAS CFD 2001. Weatherill N and Morgan K (eds) Institution of
Mathematics and Its Applications pp CDROM. ISBN 0 905 091 12 4.
9. DM Causon, CG Mingham and DM Ingram (2000), Numerical Modelling of
Steady and Non-steady Bore Wave Phenomena, in: Proceedings of the 22nd
International Symposium on Shock Waves. GJ Ball, R Hillier and GT
Roberts (eds) HMSO, London pp 629-634. ISBN 08454327061.
8. K Hu, CG Mingham and DM Causon (1999), Numerical Modelling of
Impulsive Wave Overtopping of Coastal Structures, in: Proceedings of
the 4th International Conference on Computer Modelling of Seas and
Coastal Regions: Coastal Engineering 99. CA Brebbia and P
Anagnostopoulos (eds) WIT Press, Southampton, UK pp 233-242. ISBN
1-85312-6861.
7. CG Mingham and DM Causon (1999), A Comparison of High Resolution
Schemes for Transcritical Shallow Water Flow, in: Proceedings of the
4th International Conference on Computer Modelling of Seas and Coastal
Regions: Coastal Engineering 99. CA Brebbia and P Anagnostopoulos (eds)
WIT Press, Southampton, UK pp 45-56. ISBN 1-85312-6861.
6. RV Pearson, CG Mingham and DM Causon (1997), Simulation of Shallow
Water Hydrodynamics Using a High Resolution Finite Volume Technique on
Hierarchically Structured Cartesian Grids, in: Proceedings of the 4th
International Conference on Water Pollution. R Rajar and CA Brebbia
(eds) Computational Mechanics Publications, Southampton, UK pp 617-626.
ISBN 1-85312-4702.
5. K Hu, CG Mingham and DM Causon (1997), Numerical Simulation of Wave
Induced Circulation in Harbours, in: Proceedings of the 3rd
International Conference on Computer Modelling of Seas and Coastal
Regions. JR Acinas and CA Brebbia (eds) Computational Mechanics
Publications, Southampton, UK pp 325-334. ISBN 1-85312-4990.
4. CG Mingham and DM Causon (1997), On High Resolution Finite Volume
Modelling of the Solute Transport Equation, in: Proceedings of the 3rd
International Conference on Computer Modelling of Seas and Coastal
Regions. JR Acinas and CA Brebbia (eds) Computational Mechanics
Publications, Southampton, UK pp 183-192. ISBN 1-85312-4990.
3. CG Mingham and DM Causon (1995), High Resolution Finite Volume
Modelling of the Shallow Water Equations with Applications, in:
Proceedings of 3rd International Congress on Industrial and Applied
Mathematics, pp 5.
2. PS Crossley, R Saunders, DM Causon and CG Mingham (1994), A Spectral
Method with Sub-cell Resolution for Shock Wave Calculations in
Computational Fluid Dynamics, in: Proceedings of 2nd European
Computational Fluid Dynamics Conference, pp 9-16.
1. R Saunders, PS Crossley, DM Causon and CG Mingham (1994), A Spectral
Method with Sub-cell Resolution for Shock Wave Calculations, in:
Proceedings of 2nd European Conference on Computational Fluid Dynamics,
pp 9-16. 
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