A Model of Quantum Economic Development

Quantum Economic Development (or the QED MODEL) is an entirely new field of theoretical economic conceptualisation into the evolutionary end point of the New Global Economy. A full description of the process of forming a kernel of fundamental 'quantum like' logic of the architecture and mechanics of these totally new quantum economies is included, as well as some of the more urgent and suggested effects on Humanity. The interdisciplinary boundaries of Free Market Economics and Quantum Physics have been dissolved through conceptual multi-dimensional and multi-scalar relationships and by constructing a model to explain how these systems could work for a global society of up to one hundred billion market participants. Light speed and internet based virtual economies (mostly corporate in nature) are on our combined global event horizon. This paper is prepared for global Academic, Business, Community and Development leaders to understand the basics of Quantum State Economies and their eventual march toward 'Economic Fusion' sometime in this first half of this century. These virtual economic environments spanning the global may allow us for the first time to meet the basic criteria of a free market economy and simultaneously the pre-engineering of the light speed evolution of ideas to their commercial manifestation. As we now learn from present economic malfunctions, phenomena that were once regarded as only concepts, are being created by the en masse interactions of market forces and energies that may begin to act according to ‘quantum like’ relationships. A vital paper for decision makers of all walks of life.qed, theorem, model, quantum, economic, development, new, gobal, economy, economies, light, speed, e-commerce, internet, mass, markets, interactive, trading, einstein, smith, wealth, nations, government, intervention,universal, currency, units, business, templates, forces, energies, fusion, fission, force, belonging, developing

Linear instability of asymmetric Poiseuille flows

We compute solutions for the Orr-Sommerfeld equations for the case of an asymmetric Poiseuille-like parallel flow. The calculations show that very small asymmetry has little effect on the prediction for linear instability of Poiseuille-like flow but that moderate asymmetry, such as found in channel flow near an elongated wall vortex, has a large effect and that instability can occur at much lower (less than 100) Reynolds numbers. We give some characterisation of the instability

Spectral method for the unsteady incompressible Navier-Stokes equations in gauge formulation

A spectral method which uses a gauge method, as opposed to a projection method, to decouple the computation of velocity and pressure in the unsteady incompressible Navier-Stokes equations, is presented. Gauge methods decompose velocity into the sum of an auxilary field and the gradient of a gauge variable, which may, in principle, be assigned arbitrary boundary conditions, thus overcoming the issue of artificial pressure boundary conditions in projection methods. A lid-driven cavity flow is used as a test problem. A subtraction method is used to reduce the pollution effect of singularities at the top corners of the cavity. A Chebyshev spectral collocation method is used to discretize spatially. An exponential time differencing method is used to discretize temporally. Matrix diagonalization procedures are used to compute solutions directly and efficiently. Numerical results for the flow at Reynolds number Re = 1000 are presented, and compared to benchmark results. It is shown that the method, called the spectral gauge method, is straightforward to implement, and yields accurate solutions if Neumann boundary conditions are imposed on the gauge variable, but suffers from reduced convergence rates if Dirichlet boundary conditions are imposed on the gauge variable

Optimisation of composite boat hulls using first principles and design rules

The design process is becoming increasingly complex with designers balancing societal, environmental and political issues. Composite materials are attractive to designers due to excellent strength to weight ratio, low corrosion and ability to be tailored to the application. One problem with composite materials can be the low stiffness that they exhibit and as such for many applications they are stiffened. These stiffened structures create a complex engineering problem by which they must be designed to have the lowest cost and mass and yet withstand loads. This paper therefore examines the way in which rapid assessment of stiffened boat structures can be performed for the concept design stage. Navier grillage method is combined with genetic algorithms to produce panels optimised for mass and cost. These models are constrained using design rules, in this case ISO 12215 and Lloyd's Register Rules for Special Service Craft. The results show a method that produces a reasonable stiffened structure rapidly that could be used in advanced concept design or early detailed design to reduce design time

A hydro-elastic model of hydrocephalus

We combine elements of poroelasticity and of fluid mechanics to construct a mathematical model of the human brain and ventricular system. The model is used to study hydrocephalus, a pathological condition in which the normal flow of the cerebrospinal fluid is disturbed, causing the brain to become deformed. Our model extends recent work in this area by including flow through the aqueduct, by incorporating boundary conditions which we believe more accurately represent the anatomy of the brain and by including time dependence. This enables us to construct a quantitative model of the onset, development and treatment of this condition. We formulate and solve the governing equations and boundary conditions for this model and give results which are relevant to clinical observations

On the fractal characteristics of a stabilised Newton method

In this report, we present a complete theory for the fractal that is obtained when applying Newton's Method to find the roots of a complex cubic. We show that a modified Newton's Method improves convergence and does not yield a fractal, but basins of attraction with smooth borders. Extensions to higher-order polynomials and the numerical relevance of this fractal analysis are discussed