An analysis of the coexistence of two host species with a shared pathogen (2008)
Population dynamics of two-host species under direct transmission of an infectious disease or a pathogen is studied based on the Holt–Pickering mathematical model, which accounts for the influence...
Xing, J.T., Xiong, Y.P., Price, W.G.
A generalised mathematical model and analysis for integrated multi-channel vibration control-structure interaction systems are developed. The governing equations describing the interactions between a...
Wang, H., Xing, J.T., Price, W.G., Li, W.
A mathematical model is developed to control aircraft vibrations caused by runway excitation using an active landing gear system. Equations are derived to describe the integrated aircraft – active...
Stability and instability analyses of the dissipative quasi-geostrophic equation (2008)
This study examines a spatial periodic fluid flow governed by the dissipative quasi-geostrophic equation ∂θ/∂t + u ∙ ∇θ + κ(−Δ)αθ = f for 0 < α ≤ 1. The nonlinear stability and...
Numerical simulation of liquid sloshing phenomena in partially filled containers (2008)
Chen, Y.G., Djidjeli, K., Price, W.G.
In the simulation of the dynamic load excited by sloshing in a partially filled tank, appropriate boundary conditions need imposing to calculate the impact pressure. Traditionally, a thin artificial...
The influence of structural modelling on the dynamic behaviour of a bulker in waves (2006)
Hirdaris, S.E., Miao, Shihua, Price, W.G., Temarel, P.
Modelling assumptions when idealising the structure of mono-hulled vessels may have effect on the predicted wave-induced loads, when using fluid-flexible structure interaction (FFSI) models. The aim...
Computing Lyapunov exponents based on the solution expression of the variational system (2006)
A simple discrete QR algorithm based on a solution expression of the variational equation of a dynamical system is presented for computing the Lyapunov exponents of n-dimensional continuous dynamical...
A level set formulation in a generalized curvilinear coordinate is developed to simulate the free surface waves generated by moving bodies or the sloshing of fluid in a container. The...
Transition to a pair of chaotic symmetric flows (2006)
The complexity of transition to chaotic flow is discussed. It is shown that many different bifurcation processes may coexist and join together to excite the chaotic flow. The profile of this...
On the relation between Rayleigh–Bénard convection and Lorenz system (2006)
Based on an extension of the Lorenz truncation scheme, a chaotic mathematical model is developed to provide a profile of the chaotic attractor associated with the Rayleigh–Bénard convection...
The interactive dynamic behaviour of an air-liquid-elastic spherical tank system (2006)
Xiong, Y.P., Xing, J.T., Price, W.G.
The dynamic behaviour of an air-liquid-elastic spherical tank interaction system is investigated. The tank is fully filled with a non-viscous liquid and air and supported at four equally spaced...
Transition to a pair of chaotic symmetric flows (2006)
The complexity of transition to chaotic flow is discussed. It is shown that many different bifurcation processes may coexist and join together to excite the chaotic flow. The profile of this...
On the relation between Rayleigh-Bénard convection and Lorenz system (2006)
Based on an extension of the Lorenz truncation scheme, a chaotic mathematical model is developed to provide a profile of the chaotic attractor associated with the Rayleigh–Bénard convection...
Construction of circle bifurcations of a two-dimensional spatially periodic flow (2006)
The study by Yudovich [V.I. Yudovich, Example of the generation of a secondary stationary or periodic flow when there is loss of stability of the laminar flow of a viscous incompressible fluid, J....
Through analytical argument, the Lp − Lq estimate of a three-dimensional linearized micropolar fluid flow in the whole space R3 is established. This estimate is used to show the existence and...
Computing Lyapunov exponents based on the solution expression of the variational system (2006)
A simple discrete QR algorithm based on a solution expression of the variational equation of a dynamical system is presented for computing the Lyapunov exponents of n-dimensional continuous dynamical...
The influence of structural modelling on the dynamic behaviour of a bulker in waves (2006)
Hirdaris, S.E., Miao, S.H., Price, W.G., Temarel, P.
Modelling assumptions when idealising the structure of mono-hulled vessels may have an effect on the predicted wave-induced loads, when using fluid-flexible structure interaction (FFSI) models. The...
Xing, J.T., Xiong, Y.P., Price, W.G.
The application of mechanical springs connected in parallel and/or in series with active springs can produce dynamical systems characterised by infinite or zero value stiffness. This mathematical...
Xiong, Y.P., Xing, J.T., Price, W.G.
A nonlinear interactive system comprising of equipment, nonlinear isolator and travelling flexible ship excited by waves is studied from a vibratory power flow viewpoint to examine its dynamical...
Xiong, Ye-Ping, Xing, J.T., Price, W.G.
A power flow mode theory is developed to describe the natural power flow behaviour of a dynamic system based on its inherent damping distribution. The system's characteristic-damping matrix is...
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes (2005)
On the basis of rigorous analysis supported by numerical computation, a systematic study is presented to locate and examine chaotic Kolmogorov flows resulting from the interaction of a basic...
Secondary fluid flows driven electromagnetically in a two-dimensional extended duct (2005)
This study focuses on two-dimensional fluid flows in a straight duct with free-slip boundary conditions applied on the channel walls y=0 and y=2πN with N>1. In this extended wall-bounded fluid...
Transition to chaos in a fluid motion system (2005)
To provide a mathematical description of the chaotic behaviour in a fluid flow, a coupled system of seven ordinary differential equations is truncated from the Navier–Stokes equations in a plane...
Bifurcating periodic solutions of the wind-driven circulation equations (2005)
The existence of bifurcating periodic flows in a quasi-geostrophic mathematical model of wind-driven circulation is investigated. In the model, the Ekman number r and Reynolds number R control the...
Transition to chaos in a fluid motion system (2005)
To provide a mathematical description of the chaotic behaviour in a fluid flow, a coupled system of seven ordinary differential equations is truncated from the Navier–Stokes equations in a plane...
Chaotic behaviour of a Galerkin model of a two-dimensional flow (2004)
Chaotic behavior of a Galerkin model of the Kolmogorov fluid motion equations is demonstrated. The study focuses on the dynamical behavior of limit trajectories branching off secondary periodic...
A study of power flow in a coupled plate-cylindrical shell system (2004)
Wang, Z.H., Xing, J.T., Price, W.G.
A substructure approach is formulated to investigate the power flow characteristics of a plate–cylindrical shell system subject to both conservative and dissipative coupling conditions. The system...
Du, S.X., Hudson, D.A., Price, W.G., Temarel, P.
On the underlying assumption that the disturbance of the far-field velocity potential caused by the motion of a ship is small and may be linearized, an improved matching method is developed. Two...
Du, S.X., Hudson, D.A., Price, W.G., Temarel, P.
Two alternative numerical approaches assessing and modelling the influence of the transom stern on the steady flow characteristics of high-speed vessels are investigated. In the first method the...
The wavelet analysis in ship model test (2004)
Du, S.X., Hudson, D.A., Price, W.G., Temarel, P., Chen, R.Z., Wu, Y.S.
An updated Arbitrary-Lagrangian-Eulerian (UALE) coordinate system is proposed to solve problems in continuum mechanics. It is compared to and distinguished from an ALE system. The governing equations...
Xiong, Y., Xing, J.T., Price, W.G.
A generalized power flow mode theory is developed to describe the power-flow behaviour of a dynamical system based on the inherent characteristics of the system?s damping distribution. The...
Wavelet analysis of extreme wave load experiments with a flexible shipmodel (2004)
Du, S.X., Hudson, D.A., Price, W.G., Temarel, P., Chen, R.Z., Wu, Y.S.
Chaotic behavior of a Galerkin model of a two-dimensional flow (2004)
Chaotic behavior of a Galerkin model of the Kolmogorov fluid motion equations is demonstrated. The study focuses on the dynamical behavior of limit trajectories branching off secondary periodic...
Chaotic behavior of a Galerkin model of a two-dimensional flow (2004)
Chaotic behavior of a Galerkin model of the Kolmogorov fluid motion equations is demonstrated. The study focuses on the dynamical behavior of limit trajectories branching off secondary periodic...
Two- and three-dimensional hydroelastic modelling of a bulker in regular waves (2003)
Hirdaris, S.E., Price, W.G., Temarel, P.
The relatively high rates of bulk carrier casualties in recent years, as well as structural features such as large deck openings, make this vessel type a suitable example for investigating the...
Djidjeli, K., Price, W.G., Twizell, E.H., Cao, Q.
An efficient numerical method is developed for the numerical solution of non-linear wave equations typified by the regularized long wave equation (RLW) and its generalization (GRLW). The method...
Xiong, Y.P., Xing, J.T., Price, W.G.
Abstract Generalized integrated structure–control dynamical systems consisting of any number of active/passive controllers and three-dimensional rigid/flexible substructures are investigated. The...
Xing, J.T., Price, W.G., Chen, Y.G.
A mixed finite-element finite-difference numerical method is developed to calculate nonlinear fluid-solid interaction problems. In this study, the structure is assumed to be rigid with large motion...
Constrained control and approximation properties of a rational interpolating curve (2003)
Duan, Qi, Djidjeli, K., Price, W.G., Twizell, E.H.
This paper deals with the convexity control and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for...
Time domain simulation of symmetric ship motions in waves (2003)
Ballard, E.J., Hudson, D.A., Price, W.G., Temarel, P.
A time domain mathematical model is presented for the prediction of heave and pitch motions in regular waves. In the linear model, the fluid forces and moments acting on a vessel are expressed in...
Constrained control and approximation properties of a rational interpolating curve (2003)
Duan, Qi, Djidjeli, K., Price, W.G., Twizell, E.H.
This paper deals with the convexity control and the strain energy control of interpolating curves using a rational cubic spline with linear denominator. The sufficient and necessary conditions for...
Elimination of irregular frequencies in three-dimensional seakeeping predictions (2003)
Ahmed, T.M., Du, S.X., Hudson, D.A., Price, W.G., Temarel, P.
Xiong, Y.P., Xing, J.T., Price, W.G.
A Power Flow Analysis or a Statistical Energy Analysis provides a powerful approach to model the dynamical behaviour of various complex coupled systems. While significant non-linear behavior has been...
A numerical simulation of nonlinear fluid: rigid structure interaction problem (2002)
Xing, J.T., Price, W.G., Chen, Y.G.
A numerical method to simulate nonlinear fluid – rigid structure interaction problems is developed herein. The structure is assumed to undergo large rigid body motions and the fluid flow is...
Boundary layer flow on a long thin cylinder (2002)
Tutty, O.R., Price, W.G., Parsons, A.T.
The development of the boundary layer along a long thin cylinder aligned with the flow is considered. Numerical solutions are presented and compared with previous asymptotic results. Very near the...
Tan, M, Uzunoglu, B, Price, W G, Rogers, E
Reduced modelling techniques, based on a Proper Orthogonal Decomposition (POD) method, are applied to an investigation of the incompressible Navier-Stokes equations with inputs. A circular cylinder...
Tan, M, Uzunoglu, B, Price, W G, Rogers, E
Reduced modelling techniques, based on a Proper Orthogonal Decomposition (POD) method, are applied to an investigation of the incompressible Navier-Stokes equations with inputs. A circular cylinder...
Tan, M, Uzunoglu, B, Price, W G, Rogers, E
Reduced modelling techniques, based on a Proper Orthogonal Decomposition (POD) method, are applied to an investigation of the incompressible Navier-Stokes equations with inputs. A circular cylinder...
Time simulation of manoeuvring and seakeeping assessments using a unified mathematical model (2002)
Bailey, P.A., Hudson, D.A., Price, W.G., Temarel, P.
The formulation of traditional seakeeping and calm water manoeuvring theories usually preclude any study in which the manoeuvring and seakeeping performance of a ship interact as observed, for...
Power flow analysis of indeterminate rod/beam systems using a susbstructure method (2002)
Wang, Z.H., Xing, J.T., Price, W.G.
Based on the concepts of a subsystem structural dynamics approach, a general power flow analysis of an indeterminate vibrating system consisting of three rods is presented and discussed. This is...
A numerical method to solve the m-terms of a submerged body with forward speed (2002)
To model mathematically the problem of a rigid body moving below the free surface, a control surface surrounding the body is introduced. The linear free surface condition of the steady waves created...
Tan, M., Uzunoglu, B., Price, W.G., Rogers, E.
Reduced modelling techniques, based on a proper orthogonal decomposition (POD) method, are applied to an investigation of the incompressible Navier-Stokes equations with inputs. A circular cylinder...
Wang, Z.H., Xing, J.T., Price, W.G.
A substructure approach with free–free interface condition is formulated to investigate the power flow characteristics of an L-shaped plate. This is achieved by complementing the normal dynamic...
Zhao, S., Xing, J.T., Price, W.G.
The dynamical behaviour of a flexible beam - water interaction system having a concentrated mass (with accompanying moment of inertia) at the free end of the beam is examined. In the water domain,...
An instability analysis of two-dimensional liquid-metal flows in a straight duct with free-slip boundary condition applied on the walls y = 0 and y = 2~ is conducted. The basic flow under examination...
Price, W.G., Salas Inzunza, M., Temarel, P.
Two- and three-dimensional idealisations for a mono-hulled vessel, treated as a flexible structure, are used to predict and compare the dynamic characteristics in vacuo, hydrodynamic coefficients and...
Bishop,R. E. D., Parkinson ,A. G., Price,W. G.
Continuing the traditional policy of featuring current research results in important problem areas in ship hydrodynamics, Unsteady Hydrodynamics of Marine Vehicles was selected as the theme for the...
An ordinary differential equation for the 2D transient free-surface Green functions (2002)
Based on the Laplace transform an ordinary differential equation for the two-dimensional time-domain free-surface Green function in ship hydrodynamics is presented. The results for 2D Green function...
Tan, M, Uzunoglu, B, Price, W G, Rogers, E
Reduced modelling techniques, based on a Proper Orthogonal Decomposition (POD) method, are applied to an investigation of the incompressible Navier-Stokes equations with inputs. A circular cylinder...
Blow-up rate estimates for weak solutions of the Navier-Stokes equations (2001)
The interior regularity problem for the Leray weak solutions u of the Navier—Stokes equations in a domain z ² Rn with n > 3 is investigated. It is shown that u is regular in a neighbourhood of a...