# Professor Geraint Price* BSc, PhD, DSc(Eng)*

## Emeritus Professor

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Professor Geraint Price is Emeritus Professor within Engineering and the Environment at the University of Southampton.

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Professor Geraint Price is Emeritus Professor within Engineering and the Environment at the University of Southampton.

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Feng, A., Bai, W., You, Y., Chen, Z-M., & Price, W. G. (2016). *A Rankine source method solution of a finite depth, wave–body interaction problem*. *Journal of Fluids and Structures*, *62*, 14-32. DOI: doi:10.1016/j.jfluidstructs.2016.01.002

Chen, Z-M., Liu, Q., & Price, W. G. (2016). *Straightforward discretisation of Green function and free-surface potential flow around a three-dimensional lifting body*. *Journal of Marine Science and Technology*, 1-13. DOI: 10.1007/s00773-016-0400-3

Feng, A., Chen, Z-M., & Price, W. G. (2015). *A desingularized Rankine source method for nonlinear wave-body interaction problems*. *Ocean Engineering*, *101*, 131-141. DOI: 10.1016/j.oceaneng.2015.04.002

Feng, A., Chen, Z-M., & Price, W. G. (2014). *A Rankine source computation for three dimensional wave–body interactions adopting a nonlinear body boundary condition*. *Applied Ocean Research*, *47*, 313-321. DOI: 10.1016/j.apor.2014.06.001

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2012). *An investigation into the hydrodynamic analysis of vessels with a zero or forward speed*. *Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment*, *226*(2), 83-102. DOI: 10.1177/1475090211432078

Chen, Z-M., & Price, W. G. (2012). *Dissipative free-surface solver for potential flow around hydrofoil distributed with doublets*. *Applied Mathematics and Mechanics*, *33*(11), 1467-1480. DOI: 10.1007/s10483-012-1636-9

Chen, Y. G., Price, W. G., & Temarel, P. (2011). *An anti-diffusive volume of fluid method for interfacial fluid flows*. *International Journal for Numerical Methods in Fluids*, *68*(3), 341-359. DOI: 10.1002/fld.2509

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2011). *The occurrence of irregular frequencies in forward speed ship seakeeping numerical calculations*. *Ocean Engineering*, *38*(1), 235-247. DOI: 10.1016/j.oceaneng.2010.10.005

Xing, J. T., Xiong, Y. P., & Price, W. G. (2009). *A generalised mathematical model and analysis for integrated multi-channel vibration structure-control interaction systems*. *Journal of Sound and Vibration*, *320*, 584-616. DOI: 10.1016/j.jsv.2008.08.009

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2009). *Implicit expresions of static and incident wave pressures over the instantaneous wetted surface of ships. [In Fluid-Structure Interactions: special issue in honour of Professor W. Geraint Price*. *Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment*, *223*(3), 239-256. DOI: 10.1243/14750902JEME162

Chen, Y. G., & Price, W. G. (2009). *Numerical simulation of liquid sloshing in a partially filled container with inclusion of compressibility effects*. *Physics of Fluids*, *21*(112105), 112105-[16pp]. DOI: 10.1063/1.3264835

Chen, Y. G., Djidjeli, K., & Price, W. G. (2009). *Numerical simulation of liquid sloshing phenomena in partially filled containers*. *Computers & Fluids*, *38*, 830-842. DOI: 10.1016/j.compfluid.2008.09.003

Ravi, A. B., Tan, M., & Price, W. G. (2008). *An analysis of a two cylinder-fluid interaction at critical gap spacing by a cell boundary element method*. *European Physical Journal - Special Topics*, *165*(1), 151-160. DOI: 10.1140/epjst/e2008-00858-8

Chen, Z-M., & Price, W. G. (2008). *An analysis of the coexistence of two host species with a shared pathogen*. *Journal of Mathematical Biology*, *56*(6), 841-859. DOI: 10.1007/s00285-007-0141-3

Wang, H., Xing, J. T., Price, W. G., & Li, W. (2008). *An investigation of an active landing gear system to reduce aircraft vibrations caused by landing impacts and runway excitations*. *Journal of Sound and Vibration*, *317*(1-2), 50-66. DOI: 10.1016/j.jsv.2008.03.016

Chen, Z-M., & Price, W. G. (2008). *Stability and instability analyses of the dissipative quasi-geostrophic equation*. *Nonlinearity*, *21*(4), 765-782. DOI: 10.1088/0951-7715/21/4/006

Du, S., Hudson, D. A., Price, G. W., Temarel, P., Chen, R., & Wu, Y. (2008). *Wavelet analysis of loads on a flexible ship model traveling in large-amplitude waves*. *Journal of Ship Research*, *52*(4), 249-262.

Price, W. G., & Chen, Y. G. (2006). *A simulation of free surface waves for incompressible two-phase flows using a curvilinear level set formulation*. *International Journal for Numerical Methods in Fluids*, *51*(3), 305-330. DOI: 10.1002/fld.1126

Chen, Z-M., Djidjeli, K., & Price, W. G. (2006). *Computing Lyapunov exponents based on the solution expression of the variational system*. *Applied Mathematics and Computation*, *174*(2), 982-996. DOI: 10.1016/j.amc.2005.05.016

Chen, Z-M., & Price, W. G. (2006). *Construction of circle bifurcations of a two-dimensional spatially periodic flow*. *Journal of Mathematical Analysis and Applications*, *324*(1), 66-81. DOI: 10.1016/j.jmaa.2005.11.060

Chen, Z-M., & Price, W. G. (2006). *Decay estimates of linearized micropolar fluid flows in R3 spaces with applications to L3-strong solutions*. *International Journal of Engineering Science*, *44*(13-14), 859-873. DOI: 10.1016/j.ijengsci.2006.06.003

Chen, Z-M., & Price, W. G. (2006). *On the relation between Rayleigh-Bénard convection and Lorenz system*. *Chaos, Solitons and Fractals*, *28*(2), 571-578. DOI: 10.1016/j.chaos.2005.08.010

Xiong, Y. P., Xing, J. T., & Price, W. G. (2006). *The interactive dynamic behaviour of an air-liquid-elastic spherical tank system*. *ASME PVP 2006 / ICPVT-11*, (PVP2006-ICPVT11), 1-8.

Chen, Z-M., & Price, W. G. (2006). *Transition to a pair of chaotic symmetric flows*. *Chaos, Solitons and Fractals*, *27*(5), 1285-1291. DOI: 10.1016/j.chaos.2005.04.103

Xiong, Y. P., Xing, J. T., & Price, W. G. (2005). *A novel method for power flow design and control based on power flow mode theory*. *The Proceedings of The 15th (2005) International Offshore and Polar Engineering Conference, (CD ROM, eds Jing S. Chung et al), Seoul, Korea, June 19-24*, *3*, 146-153.

Xing, J. T., Price, W. G., & Chen, Y. G. (2005). *A numerical method to simulate nonlinear fluid-rigid structure interaction problems*. *Acta Mechanica Solida Sinica*, *18*(2), 95-109.

Xiong, Y-P., Xing, J. T., & Price, W. G. (2005). *A power flow mode theory based on a system's damping distribution and power flow design approaches*. *Proceedings of the Royal Society of London A*, *461*(2063), 3381-3411. DOI: 10.1098/rspa.2005.1540

Chen, Z-M., & Price, W. G. (2005). *Bifurcating periodic solutions of the wind-driven circulation equations*. *Journal of Mathematical Analysis and Applications*, *304*(2), 783-796. DOI: 10.1016/j.jmaa.2004.09.062

Xiong, Y. P., Xing, J. T., & Price, W. G. (2005). *Interactive power flow characteristics of an integrated equipment—nonlinear isolator—travelling flexible ship excited by sea waves*. *Journal of Sound and Vibration*, *287*(1-2), 245-276. DOI: 10.1016/j.jsv.2004.11.009

Chen, Z-M., & Price, W. G. (2005). *Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes*. *Communications in Mathematical Physics*, *256*(3), 737-766. DOI: 10.1007/s00220-005-1290-0

Xing, J. T., Xiong, Y. P., & Price, W. G. (2005). *Passive–active vibration isolation systems to produce zero or infinite dynamic modulus: theoretical and conceptual design strategies*. *Journal of Sound and Vibration*, *286*(3), 615-636. DOI: 10.1016/j.jsv.2004.10.018

Chen, Z-M., & Price, W. G. (2005). *Secondary fluid flows driven electromagnetically in a two-dimensional extended duct*. *Proceedings of the Royal Society of London A*, *461*(2058), 1659-1683. DOI: 10.1098/rspa.2005.1454

Chen, Z-M., & Price, W. G. (2005). *Transition to chaos in a fluid motion system*. *Chaos, Solitons and Fractals*, *26*(4), 1195-1202. DOI: 10.1016/j.chaos.2005.02.045

Wang, Z. H., Xing, J. T., & Price, W. G. (2004). *A study of power flow in a coupled plate-cylindrical shell system*. *Journal of Sound and Vibration*, *271*(3-5), 863-882. DOI: 10.1016/S0022-460X(03)00757-0

Xing, J. T., & Price, W. G. (2004). *A substructure method for power flow analysis of non-linear systems consisting of linear substructures and non-linear controllers*. *Proceedings of the Eleventh International Congress on Sound and Vibration (CD-ROM), St. Petersburg, Russian, 5-8 July, Published by IIAV*, 2657-2664.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2004). *An improved matching method to solve the diffraction—radiation problem of a ship moving in waves*. *Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment*, *218*(3), 139-152. DOI: 10.1243/1475090041737930

Chen, Z-M., & Price, W. G. (2004). *Chaotic behavior of a Galerkin model of a two-dimensional flow*. *Chaos: An Interdisciplinary Journal of Nonlinear Science*, *14*(4), 1056-1068. DOI: 10.1063/1.1804091

Xiong, Y. P., Xing, J. T., & Price, W. G. (2004). *Influence of flexible foundation on the dynamic characteristics of an active suspension system generating high stiffness*. *Proceedings of the Eleventh International Congress on Sound and Vibration (CD-ROM), St. Petersburg, Russian, 5-8 July, Published by IIAV*, 233-240.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2004). *Theoretical predictions of steady-state hydrodynamic characteristics of a high-speed vessel with transom stern*. *The Transactions of the Royal Institution of Naval Architects Part A: International Journal of Maritime Engineering*, *146*(4), 1-15.

Xiong, Y. P., Xing, J. T., & Price, W. G. (2003). *A general linear mathematical model of power flow analysis and control for integrated structure-control systems*. *Journal of Sound and Vibration*, *267*(2), 301-334. DOI: 10.1016/S0022-460X(03)00194-9

Djidjeli, K., Price, W. G., Twizell, E. H., & Cao, Q. (2003). *A linearized implicit pseudo-spectral method for some model equations: the regularized long wave equations*. *Communications in Numerical Methods in Engineering*, *19*(11), 847-863. DOI: 10.1002/cnm.635

Xing, J. T., Price, W. G., & Chen, Y. G. (2003). *A mixed finite-element finite-difference method for nonlinear fluid-structure interaction dynamics. I. Fluid-rigid structure interaction*. *Proceedings of the Royal Society of London A*, *459*(2038), 2399-2430. DOI: 10.1098/rspa.2002.1110

Xing, J. T., Price, W. G., & Wang, Z. H. (2003). *A substructure approach to power flow analysis and application to engineering structures*. *Proceedings of 8th international conference on recent advances in structural dynamics, paper number 101, Southampton, July 14-16*.

Xiong, Y. P., Xing, J. T., & Price, W. G. (2003). *Active vibration control of a human body-seat-boat-water dynamic interaction system excited by progressive waves*. *Proceedings of 8th international conference on recent advances in structural dynamics, Paper number 0011, Southampton, July 14-16*.

Duan, Q., Djidjeli, K., Price, W. G., & Twizell, E. H. (2003). *Constrained control and approximation properties of a rational interpolating curve*. *Information Sciences*, *152*, 181-194. DOI: 10.1016/S0020-0255(02)00409-7

Xiong, Y. P., Xing, J. T., & Price, W. G. (2003). *Power flow analysis of an equipment-nonlinear isolator-flexible ship interaction system excited by progressive sea waves*. *Proceedings of 10th international congress on sound and vibration,7-10 July, Stockholm, Sweden*, 4841-4848.

Xing, J. T., Price, W. G., & Xiong, Y. P. (2003). *Substructure-subdomain methods for power flow analysis of fluid-structure interaction dynamics*. *Proceedings of 10th international congress on sound and vibration, 7-10 July, Stockholm, Sweden*, 1115-1122.

Ballard, E. J., Hudson, D. A., Price, W. G., & Temarel, P. (2003). *Time domain simulation of symmetric ship motions in waves*. *The Transactions of the Royal Institution of Naval Architects Part A: International Journal of Maritime Engineering*, *145*(A2), 89-108.

Hirdaris, S. E., Price, W. G., & Temarel, P. (2003). *Two- and three-dimensional hydroelastic modelling of a bulker in regular waves*. *Marine Structures*, *16*(8), 627-658. DOI: 10.1016/j.marstruc.2004.01.005

Duan, W. Y., & Price, W. G. (2002). *A numerical method to solve the m-terms of a submerged body with forward speed*. *International Journal for Numerical Methods in Fluids*, *40*(5), 655-667. DOI: 10.1002/fld.367

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (2002). *A simple yet rational approach to the panelling of hull surfaces*. *Transactions of the Royal Institution of Naval Architects*, *144*, 49-61.

Xing, J. T., Price, W. G., & Wang, Z. H. (2002). *A study of powerflow characteristics using a vector field analysis approach*. *Proceedings of the 5th International Conference on Vibration Engineering, (Editor-in-Chief: Haiyan HU*, 33-40.

Xiong, Y. P., Xing, J. T., Price, W. G., & Shenoi, R. A. (2002). *Active control of energy flow from source to equipment on a sandwich panel*. *Proceedings of the 5th International Conference on Vibration Engineering, ( Editor-in-Chief: Haiyan HU*, 523-529.

Wang, Z. H., Xing, J. T., & Price, W. G. (2002). *An investigation of power flow characteristics of L-shaped plates adopting a substructure approach*. *Journal of Sound and Vibration*, *250*(4), 627-648. DOI: 10.1006/jsvi.2001.3956

Duan, W., & Price, W. G. (2002). *An ordinary differential equation for the 2D transient free-surface Green functions*. *Journal of Hydrodynamics*, *14*(2), 24-28.

Tutty, O. R., Price, W. G., & Parsons, A. T. (2002). *Boundary layer flow on a long thin cylinder*. *Physics of Fluids*, *14*(2), 628-637. DOI: 10.1063/1.1427921

Zhao, S., Xing, J. T., & Price, W. G. (2002). *Natural vibration of a flexible beam-water coupled system with a concentrated mass attached at the free end of the beam*. *Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment*, *216*(2), 145-154.

Wang, Z. H., Xing, J. T., & Price, W. G. (2002). *Power flow analysis of indeterminate rod/beam systems using a susbstructure method*. *Journal of Sound and Vibration*, *249*(1), 3-22. DOI: 10.1006/jsvi.2001.3645

Tan, M., Uzunoglu, B., Price, W. G., & Rogers, E. (2002). *Reduced models for statistically stationary and non-stationary flows with control applications*. *Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment*, *216*(1), 95-102. DOI: 10.1243/147509002320382167

Chen, Z-M., & Price, W. G. (2002). *Supercritical regimes of liquid-metal fluid motions in electromagnetic fields: wall-bounded flows*. *Proceedings of the Royal Society of London A*, *458*(2027), 2735-2757. DOI: 10.1098/rspa.2002.1002

Price, W. G., Salas Inzunza, M., & Temarel, P. (2002). *The dynamic behaviour of a mono-hull in oblique waves using two- and three dimensional fluid-structure interaction models*. *Transactions of the Royal Institution of Naval Architects*, *144*, 1-26.

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (2002). *Time simulation of manoeuvring and seakeeping assessments using a unified mathematical model*. *Transactions of the Royal Institution of Naval Architects*, *144*, 27-48.

Xing, J. T., & Price, W. G. (2002). *Variational principles of nonlinear fluid-solid interaction dynamics in the Arbitrary-Lagarange-Eulerian description*. *Proceedings of the 4th International Conference on Nonlinear Mechanics, (Editor-in-Chief: CHIEN, Wei-zang*, 759-765.

Farrant, T., Tan, M., & Price, W. G. (2001). *A cell boundary element method applied to laminar vortex shedding from circular cylinders*. *Computers & Fluids*, *30*(2), 211-236. DOI: 10.1016/S0045-7930(00)00009-8

Cao, Q., Xu, L., Djidjeli, K., Price, W. G., & Twizell, E. H. (2001). *Analysis of period-doubling and chaos of a non-symmetric oscillator with piecewise-linearity*. *Chaos, Solitons and Fractals*, *12*(10), 1917-1927. DOI: 10.1016/S0960-0779(00)00155-7

Chen, Z-M., & Price, W. G. (2001). *Blow-up rate estimates for weak solutions of the Navier-Stokes equations*. *Proceedings of the Royal Society of London A*, *457*(2015), 2625-2642. DOI: 10.1098/rspa.2001.0854

Duan, W. Y., Huang, D. B., Hudson, D. A., Price, W. G., & Wilson, P. A. (Ed.) (2001). *Comparison of two seakeeping prediction methods for high speed multi-hull vessels*. *FAST 2001: Sixth International Conference on Fast Sea Transportation*, *2*, 243-250. DOI: 10.3940/rina.ft.2001

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (2001). *Comparisons between theory and experiment in a seakeeping validation study*. *Transactions of the Royal Institution of Naval Architects*, *143*, 44-77.

Uzunoglu, B., Tan, M., & Price, W. G. (2001). *Low-Reynolds-number flow around an oscillating circular cylinder using a cell viscousboundary element method*. *International Journal for Numerical Methods in Engineering*, *50*(10), 2317-2338. DOI: 10.1002/nme.122

Chen, Z-M., & Price, W. G. (2001). *Morrey space techniques applied to the interior regularity problem of the Navier-Stokes equations*. *Nonlinearity*, *14*(6), 1453-1472. DOI: 10.1088/0951-7715/14/6/303

Xiong, Y. P., Xing, J. T., & Price, W. G. (2001). *Power flow analysis of complex coupled systems by progressive approaches*. *Journal of Sound and Vibration*, *239*(2), 275-295. DOI: 10.1006/jsvi.2000.3159

Xiong, Y. P., Xing, J. T., Price, W. G., & Shenoi, R. A. (2001). *Retrofitting active power flow control into passive vibration isolation systems*. *Proceedings of Asia-Pacific Vibration Conference 2001 (ed. B C Wen*, *3*, 1006-1011.

Farrant, T., Tan, M., & Price, W. G. (2000). *A cell boundary element method applied to laminar vortex-shedding from arrays of cylinders in various arrangements*. *Journal of Fluids and Structures*, *14*(3), 375-402. DOI: 10.1006/jfls.1999.0275

Xiong, Y. P., Xing, J. T., & Price, W. G. (2000). *A progressive method of power flow analysis for complex coupled dynamic systems*. *ICFDM'2000 - International Conference on Frontiers of Design and Manufacturing, 4th Young Scientists Conference on Manufacturing Science, editors Huayong, Y. and Wei, L*, 502-507.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2000). *A validation study on mathematical models of speed and frequency dependence in seakeeping*. *Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science*, *214*(1), 181-202. DOI: 10.1243/0954406001522903

Xiong, Y. P., Wang, X. P., Xing, J. T., & Price, W. G. (2000). *Hybrid active and passive control of vibratory power flow in flexible isolation system*. *Shock and Vibration*, *7*(3), 139-148.

Xiong, Y. P., Wang, X. P., Xing, J. T., & Price, W. G. (2000). *Hybrid active and passive control of vibratory power flow in flexible isolation system*. *Shock and Vibration*, *7*(3), 139-148.

Xing, J. T., & Price, W. G. (2000). *The theory of non-linear elastic ship-water interaction dynamics. Cited by Ei, Sci*. *Journal of Sound and Vibration*, *230*(4), 877-914. DOI: 10.1006/jsvi.1999.2655

Duan, Q., Djidjeli, K., Price, W. G., & Twizell, E. H. (2000). *Weighted rational cubic spline interpolation and its application*. *Journal of Computational and Applied Mathematics*, *117*(2), 121-135. DOI: 10.1016/S0377-0427(99)00336-2

Xing, J. T., & Price, W. G. (1999). *A power flow analysis based on continuum dynamics*. *Proceedings of the Royal Society of London A*, *455*(1982), 401-436. DOI: 10.1098/rspa.1999.0319

Xiong, Y. P., Xing, J. T., & Price, W. G. (1999). *An active control method using power flow for vehicle-bridge interaction systems*. *Proceedings of the ASIA-Pacific Vibration Conference'99, Singapore: Nanyang Technological University*, *2*, 1227-1232.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (1999). *Comparison of numerical evaluation techniques for the hydrodynamic analysis of a ship travelling in waves*. *Transactions of Royal Institution of Naval Architects (RINA)*, *141*, 236-258.

Chen, Z-M., & Price, W. G. (1999). *Remarks on time dependent periodic Navier-Stokes flows on a two-dimensional torus*. *Communications in Mathematical Physics*, *207*(1), 81-106. DOI: 10.1007/s002200050719

Xing, J. T., & Price, W. G. (1999). *The energy flow equation of continuum dynamics*. *IUTAM Symposium on Statistical Energy Analysis, (editors F. Fahy and W. G. Price*, (67), 83-94.

Xing, J. T., & Price, W. G. (1999). *Variational formulations of nonlinear water-ship interaction problems*. *Mechanics and Engineering, in Honor of Professor Qinghua Du's 80th Anniversary, eds. Zhenhan Yao, Xucheng Wang and Zhangzhi Cen*, 262-269.

Xing, J. T., & Price, W. G. (1998). *A variational solution method applied to a nonlinear water-structure interaction system*. *Proceedings of the international conference on vibration engineering},(ed. B.C. Wen*, *1*, 219-224.

Xing, J. T., & Price, W. G. (1998). *Variational principles for three kinds of nonlinear elastodynamic problems*. *Advances in Engineering Mechanics, in Honor of Academician Hu Haichang's 70th Birthda, (editors. Wang Dajun and Qu Guangji*, 36-44.

Xing, J. T., Price, W. G., Pomfret, M. J., & Yam, L. H. (1997). *Natural vibration of a beam-water interaction system*. *Journal of Sound and Vibration*, *199*(3), 491-512. DOI: 10.1006/jsvi.1996.0662

Xing, J. T., Price, W. G., & Wang, A. Y. (1997). *Transient analysis of the ship-water interaction system excited by a pressure water wave. (Cited by BMT Abstracts (1997), Abstract 97071680 vol. 52 no. 7)*. *Marine Structures*, *10*(5), 305-321. DOI: 10.1016/S0951-8339(96)00028-7

Xing, J. T., & Price, W. G. (1997). *Variational principles of nonlinear dynamical fluid-solid interaction systems*. *Philosophical Transactions: Mathematical, Physical and Engineering Sciences*, *355*(1726), 1063-1095. DOI: 10.1098/rsta.1997.0053

Xing, J. T., Price, W. G., & Du, Q. H. (1996). *Mixed finite element substructure-subdomain methods for the dynamic analysis of coupled fluid-solid interaction problems*. *Philosophical Transactions: Mathematical, Physical and Engineering Sciences*, *354*(1705), 259-295. DOI: 10.1098/rsta.1996.0009

Chen, Z-M. I., & Price, W. G. (1996). *Time dependent periodic Navier-Stokes flows on a two-dimensional torus*. *Communications in Mathematical Physics*, *179*(3), 577-597. DOI: 10.1007/BF02100098

Xing, J. T., & Price, W. G. (1996). *Variational principles for initial/final-value problems of conservative holonomic systems and applications to time element methods*. *Proceedings of Asian-Pacific Conf on Strength of Materials and Structures (APCSMS-96), Beijing: International Academic Publishers*, 412-419.

Zhao, J., Wilson, P. A., Price, W. G., & Tan, M. (1995). *The uncertainty and uncoordination of mariners' behaviour in collision avoidance at sea*. *Journal of Navigation*, *48*(3), 425-435. DOI: 10.1017/S0373463300012911

Xing, J-T., & Price, W. G. (1992). *Some generalized variational principles for conservative holonomic dynamical systems*. *Proceedings of the Royal Society: Mathematical and Physical Sciences*, *436*(1897), 331-344. DOI: 10.1098/rspa.1992.0021

Xing, J-T., & Price, W. G. (1991). *A mixed finite element method for the dynamic analysis of coupled fluid-solid interaction problems*. *Proceedings of the Royal Society: Mathematical and Physical Sciences*, *433*(1888), 235-255. DOI: 10.1098/rspa.1991.0045

Xing, J. T., & Price, W. G. (1990). *Hydrodynamic loadings on dams excited by horizontal and vertical vibrations*. *Proceedings of Int Conference on Vib Probs in Engineering, (editor Qinghua Du), Beijing International Academic Publishers*, *2*, 1001-1006.

Keane, A. J., & Price, W. G. (Eds.) (1997). *Statistical energy analysis: an overview, with applications in structural dynamics*. Cambridge, UK: Cambridge University Press. DOI: 10.2277/0521551757

Hudson, D. A., Price, W. G., Temarel, P., & Turnock, S. R. (2010). A brief discussion of the development of mathematical models in ship motion theory. In *The Royal Institution of Naval Architects 1860-2010.* (pp. 28-32). Wales, GB: Royal Institution of Naval Architects.

Xing, J. T., Jin, J., & Price, W. G. (2005). A mathematical model for a very large floating structure-water interaction system excited by the impact of an aircraft landing. In *Trends in Applications of Mathematics to Mechanics.* (pp. 603-613). Aachen: Shaker Verlag.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2001). Methods to reduce the effects of irregular frequencies in hydrodynamic analysis of vessels with forward speed. In Y-S. Wu, G-J. Zhou, & W-C. Cui (Eds.), *Practical design of ships and other floating structures.* (pp. 847-855). Elsevier.

Beshara, M., Chohan, G. Y., Keane, A. J., & Price, W. G. (1997). Statistical energy analysis of nonconservatively coupled systems. In A. J. Keane, & W. G. Price (Eds.), *Statistical Energy Analysis: An Overview, with Applications in Structural Dynamics.* (pp. 113-139). Cambridge, UK: Cambridge University Press.

Bennett, S., Hudson, D. A., Temarel, P., & Price, W. G. (2012). The influence of abnormal waves on global wave-induced loads. In *Proceedings of the Sixth International Conference on Hydroelasticity in Marine Technology.* (pp. 75-85). University of Tokyo.

Chen, Y. G., Price, W. G., & Temarel, P. (2010). *An anti-diffusive method for computational modelling of sloshing in an LNG tank*. Paper presented at 11th International Symposium on Practical Design of Ships and Other Floating Structures, Brazil.

Chen, Y. G., Price, W. G., & Temarel, P. (2009). *Numerical simulation of liquid sloshing in LNG tanks using a compressible two-fluid flow model*. 221-230. 19th (2009) International Offshore and Polar Engineering Conference (ISOPE-2009), .

Hirdaris, S. E., Miao, S. H., Price, W. G., & Temarel, P. (2006). *The influence of structural modelling on the dynamic behaviour of a bulker in waves*. 25-34. Paper presented at Fourth International Conference on Hydroelasticity in Marine Technology, .

Xiong, Y., Xing, J. T., & Price, W. (2005). Power flow analysis and applications to vibration and control in maritime engineering. In *IMAM 2005: Maritime Transportation and Exploitation of Ocean and Coastal Resources: Proceedings.* (Vol. 1, pp. 569-577)

Xing, J. T., Xiong, Y. P., & Price, W. G. (2005). Power flow characteristics of a beam-water interaction system using a substructure method. In *Trends in Applications of Mathematics to Mechanics.* (pp. 615-626). Aachen: Shaker Verlag.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2005). *Prediction of three-dimensional seakeeping characteristics of fast hull forms: influence of the line integral terms*. 8. Paper presented at 8th International Conference on Fast Sea Transportation, .

Xing, J. T., Jin, J., & Price, W. G. (2004). *A mathematical model for a very large floating structure - water interaction system excited by the impact of an aircraft landing*. 1-11. Paper presented at International Symposium on Trends in Applications of Mathematics to Mechanics [STAMM'2004], .

Xiong, Y., Xing, J. T., & Price, W. G. (2004). *A power flow mode theory based on inherent characteristics of damping distributions in systems and its applications*. Paper presented at XXI International Congress of Theoretical and Applied Mechanics, .

Xing, J. T., & Price, W. G. (2004). *An updated arbitrary-lagrangian-eulerian description in continuum mechanics and its application to nonlinear fluid-structure interaction dynamics*. Paper presented at XXI International Congress of Theoretical and Applied Mechanics, .

Djidjeli, K., Chinchapatnam, P. P., Nair, P. B., & Price, W. G. (2004). *Global and compact meshless schemes for the unsteady convection-diffusion equation*. Paper presented at International Symposium on Health Care and Biomedical Research Interaction, .

Du, S. X., Hudson, D. A., Price, W. G., Temarel, P., Chen, R. Z., & Wu, Y. S. (2004). *The wavelet analysis in ship model test*. Paper presented at The Joint Workshop of Overseas and Domestic Chinese Young Scholars on the Frontier Problem of Ship Hydrodynamics, .

Du, S. X., Hudson, D. A., Price, W. G., Temarel, P., Chen, R. Z., & Wu, Y. S. (2004). Wavelet analysis of extreme wave load experiments with a flexible shipmodel. In *Proceedings 9th international symposium practical design of ships and other floating structures, 1.* (pp. 301-308). International Symposium Practical Design of Ships and Other Floating Structures.

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2003). *An improved matching method to solve the radiation problem of a ship moving in waves*. Paper presented at 8th International Conference on Numerical Ship Hydrodynamics, .

Ahmed, T. M., Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2003). *Elimination of irregular frequencies in three-dimensional seakeeping predictions*. Paper presented at NAV 2003: International conference on on ship and shipping research, .

Du, S. X., Hudson, D. A., Price, W. G., Temarel, P., & Wu, Y. S. (2003). *Numerical prediction of steady flow around high speed vessels with transom sterns*. Paper presented at The 7th International Conference on Fast Sea Transportation, .

Zhao, S., Xing, J. T., Price, W. G., Chen, Y. G., & Eatock Taylor, R. (Ed.) (2003). *The numerical analysis of a two dimensional nonlinear beam water interaction system*. 75-84. Hydroelasticity 2003: 3rd International Conference on Hydroelasticity in Marine Technology, .

Xing, J. T., Price, W. G., Chen, Y. G., & Paidoussis, M. P. (Ed.) (2002). *A numerical simulation of nonlinear fluid: rigid structure interaction problem*. 2002 ASME International Mechanical Engineering Congress & Exposition (IMECE2002), .

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2002). *An investigation into the effects of irregular frequencies and the waterline integral in the hydrodynamic analysis of vessels with forward speed*. 234. Paper presented at Third International Shipbuilding Conference (ISC 2002), .

Du, S. X., Hudson, D. A., Price, W. G., & Temarel, P. (2001). *An alternative expression of the restoring coefficient matrix associated with a moving flexible structure*. Paper presented at China Ship Scientific Research Center 50th Jubilee Workshop, .

Hudson, D. A., Molland, A. F., Price, W. G., & Temarel, P. (2001). Seakeeping performance of high speed catamaran vessels in head and oblique waves. In P. A. Wilson (Ed.), *FAST 2001: Sixth International Conference on Fast Sea Transportation.* (pp. 247-257). London, UK: The Royal Institution of Naval Architects.

Hirdaris, S. E., Price, W. G., & Temarel, P. (2001). *Symmetric and antisymmetric hydroelastic analysis of a bulker in waves*. 903-910. Paper presented at Proceedings of the 8th International Symposium on Practical Design of Ships and Other Floating Structures (PRADS 2001), .

Xiong, Y. P., Xing, J. T., & Price, W. G. (2000). *A generalized mobility progressive method of power flow analysis for complex coupled dynamic systems*. 54. Paper presented at ICTAM 2000 - 20th International Congress of Theoretical and Applied Mechanics, .

Price, W. G., & Xing, J. T. (2000). *A mixed finite element - finite difference method for nonlinear fluid - solid interaction dynamics*. Paper presented at ICTAM 2000 - 20th International Congress of Theoretical and Applied Mechanics, .

Hirdaris, S. E., Price, W. G., & Temarel, P. (2000). *Hydroelastic analysis of a bulk carrier*. 1-12. Paper presented at 13th International Conference on Ship and Shipping Research (NAV 2000), .

Price, W. G. (2000). *Hydroelasticity developments in maritime engineering*. Paper presented at 2nd International Conference on Oceanic Engineering (OCEAN 2000), Chile.

Tan, M., Uzunoglu, B., Price, W. G., & Rogers, E. (2000). Reduced models for statistically stationary and non-stationary flows. In *Proceedings of Fluids 2000 Conference and Exhibition.* Reston, USA: American Institute of Aeronautics and Astronautics.

Duan, W. Y., Hudson, D. A., & Price, W. G. (2000). *Theoretical prediction of the motions of fast displacement vessels in long-crested head-seas*. Paper presented at HPMV'2000: Third International Conference on High Performance Marine Vehicles, .

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (2000). *Time simulation of ship manoeuvres in waves*. Paper presented at International Workshop on Ship Manoeuvrability, .

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (1999). Theoretical and experimental validation of the seakeeping characteristics of high speed mono- and multi-hulled vessels. In *FAST '99 - Fifth International Conference on Fast Sea Transportation - Seattle, Washington, August 31 - September 2, 1999.* USA: The Society of Naval Architects and Marine Engineers.

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (1998). *A validation of speed and frequency dependence in seakeeping*. Paper presented at ISC '98: 2nd International Shipbuilding Conference, Russian Federation.

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (1998). *The measurement and prediction of fluid actions experienced by a manoeuvring vessel*. 1M-8M. Paper presented at MAN '98: Symposium on Forces Acting on a Manoeuvring Vessel, .

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (1998). *Theoretical and experimental techniques for predicting seakeeping and manoeuvring ship characteristics*. Paper presented at RINA International Conference on Ship Motions and Manoeuvrability, .

Bailey, P. A., Hudson, D. A., Price, W. G., & Temarel, P. (1998). Theoretical validation of the hydrodynamics of high speed mono- and multi-hull vessels travelling in a seaway. In M. C. W. Oosterveld, & S. G. Tan (Eds.), *Practical Design of Ships and Mobile Units. Proceedings of the seventh International Symposium on Practical Design of Ships and Mobile Units, The Hague, The Netherlands, September 1998.* (pp. 567-576). (Developments in Marine Technology; No. 11). Amsterdan, The Netherlands: Elsevier.

Zhao, J., Tan, M., Price, W. G., & Wilson, P. A. (1996). A statistical study of mariners behaviour in collision avoidance at sea. In M. J. Chislett (Ed.), *Marine Simulation and Ship Manoeuvrability.* (pp. 169-176). Copenhagen, Denmark: Taylor & Francis.

Wilson, P. A., Zhao, J., Price, W. G., & Tan, M. (1996). Comments on recent cases of collision liability. In J. Zhao, P. A. Wilson, F. Hu, & Z. Wang (Eds.), *Maritime Collision and Prevention : proceedings of the Hill Taylor Dickinson Seminar on Maritime Collision, held in Dalian, China, 21 September 1996, and the International Conference on Preventing Collision at Sea, held in Dalian, China 22-25 September 19.* (pp. 150-171). Dalian, China: Chiavari Publishing.

Zhao, J., Price, W. G., Grime, R. P., & Wilson, P. A. (1996). Legal interpretation of keeping course and speed. In J. Zhao, P. A. Wilson, Z. Hu, & F. Wang (Eds.), *Maritime collision and prevention : proceedings of the Hill Taylor Dickinson Seminar on Maritime Collision, held in Dalian, China, 21 September 1996, and the International Conference on Preventing Collision at Sea, held in Dalian, China 22-25 September 19.* (pp. 235-259). Dalian, China: Chiavari Publishing.

Zhao, J., Price, W. G., & Wilson, P. A. (1995). *Automatic collision avoidance: towards the 21st century*. 1-10. Paper presented at ACAS, .

Couser, P., Hudson, D. A., Price, W. G., & Temarel, P. (1995). *Prediction of hydrodynamic loads and motions of a high speed catamaran in regular waves*. Paper presented at Third Symposium on High Speed Marine Vehicles, .

Hudson, D. A., Price, W. G., & Temarel, P. (1995). *Seakeeping performance of high speed displacement craft*. 877-892. Paper presented at FAST '95: Third International Conference on Fast Sea Transportation, .

Zhao, J., Wilson, P. A., & Price, W. G. (1994). *A study of the ship domain with collision making simulation models*. 251-260. Paper presented at 3rd Conference on Marine Craft Manoeuvering and Control (MCMC'94), .

Zhao, J., Price, W. G., & Wilson, P. A. (1994). Risk assessment of ship/platform collision. In T. K. S. Murthy, P. Wadhams, & P. A. Wilson (Eds.), *Marine, Offshore and Ice Technology: Proceedings of the International Conference on Computer-aided Manufacture and Operation in the Marine and Offshore Industries and Ice Technology.* (pp. 51-58). Southampton, UK: Computational Mechanics Publications. DOI: 10.2495/CMO940191

Zhao, J., Tan, M., Price, W. G., & Wilson, P. A. (1994). Simulation model for automatic collision avoidance decision making systems using fuzzy sets. In *OCEANS '94: Proceedings of Oceans Engineering for Today's Technology and Tomorrow's Preservation.* (pp. 244-249). (94Ch34722-8 (Oceans); Vol. 2). Brest, France: Institute of Electrical and Electronics Engineers. DOI: 10.1109/OCEANS.1994.364049

Zhao, J., Tan, M., Price, W. G., & Wilson, P. A. (1994). *The uncertainity and uncoordination of mariners behaviour to collision avoidance at sea*. 1-12. Paper presented at 8th Navigation Simulator Conference, .

Tutty, O. R., & Price, W. G. (2000). *Boundary layer flow on a long thin cylinder*. (Ship Science Reports). Southampton, UK: University of Southampton. DOI: 120

Price, W. G., & Westlake, P. C. (1996). *Trapped internal waves produced by a submerged slender body moving in a stratified fluid*. (Ship Science Reports; No. 91). Southampton, UK: University of Southampton.

Xing, J. T., & Price, W. G. (1995). *General theorems and generalized variational principles for nonlinear elastodynamics*. (Ship Science Reports; No. 99). Southampton, UK: University of Southampton.

Price, W. G., & Westlake, P. C. (1994). *Internal waves produced by a submerged body moving in a stratified fluid*. (Ship Science Reports; No. 70). Southampton, UK: University of Southampton.

Price, W. G., & Westlake, P. C. (1994). *Internal waves produced by a submerged slender body moving in a stratified fluid*. (Ship Science Reports; No. 84). Southampton, UK: University of Southampton.

Price, W. G., & Westlake, P. C. (1993). *Interfacial waves produced by a submerged body moving in a layered fluid*. (Ship Science Reports; No. 62). Southampton, UK: University of Southampton.

Engineering and the Environment University of Southampton Highfield Southampton SO17 1BJ

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