Web Access Research Portal

Researcher: Forbes, LK (Professor Larry Forbes)

Fields of Research

Theoretical and Applied Mechanics
Electronic and Magnetic Properties of Condensed Matter; Superconductivity
Fluid Physics
Computational Fluid Dynamics
Medical Physics
Applied Mathematics
Biological Mathematics
Biomedical Instrumentation
Optimisation
Fluidisation and Fluid Mechanics
Stellar Astronomy and Planetary Systems
Galactic Astronomy
Ordinary Differential Equations, Difference Equations and Dynamical Systems
Hydrogeology
Numerical Analysis
Mathematical Aspects of General Relativity
Reaction Kinetics and Dynamics
Dynamical Systems in Applications
Numerical Solution of Differential and Integral Equations
Palaeoclimatology
Biomedical Engineering
Algebraic Structures in Mathematical Physics
Medical Devices
Approximation Theory and Asymptotic Methods
Astronomical and Space Instrumentation
Synchrotrons; Accelerators; Instruments and Techniques
Biological Physics
Chemical Thermodynamics and Energetics
Mathematical Physics
Host-Parasite Interactions
Planetary Science (excl. Extraterrestrial Geology)
Astronomical and Space Sciences
Wildlife and Habitat Management
Population Ecology
Oceanography
Information Retrieval and Web Search
Glaciology
Ship and Platform Hydrodynamics
Quantum Chemistry
Turbulent Flows
Combinatorics and Discrete Mathematics (excl. Physical Combinatorics)
Environmental Engineering Modelling
Engineering Instrumentation
Architectural Science and Technology (incl. Acoustics, Lighting, Structure and Ecologically Sustainable Design)
Environment and Resource Economics
Environmental and Natural Resources Law
Petroleum and Reservoir Engineering
Environmental Technologies
Navigation and Position Fixing
Mechanical Engineering
Broadband and Modem Technology
Mathematical Software

Research Objectives

Expanding Knowledge in the Mathematical Sciences
Expanding Knowledge in the Physical Sciences
Expanding Knowledge in Engineering
Expanding Knowledge in the Environmental Sciences
Social Impacts of Climate Change and Variability
Expanding Knowledge in the Chemical Sciences
Control of Pests, Diseases and Exotic Species at Regional or Larger Scales
Scientific Instruments
Medical Instruments
Aerospace Equipment
Ecosystem Assessment and Management at Regional or Larger Scales
Border Biosecurity (incl. Quarantine and Inspection)
Climate Variability (excl. Social Impacts)
Climate Change Adaptation Measures
Antarctic and Sub-Antarctic Land and Water Management
Organic Industrial Chemicals (excl. Resins, Rubber and Plastics)
Nautical Equipment (excl. Yachts)
Hydro-Electric Energy
Coastal and Estuarine Land Management
Marine Oceanic Processes (excl. climate related)
Wind Energy
Effects of Climate Change and Variability on Australia (excl. Social Impacts)
Climate Change Mitigation Strategies
Urban and Industrial Water Management
Land and Water Management of environments
Information and Communication Services

Career Best Publications

A novel target-field method for finite-length magnetic resonance shim coils: I. Zonal shims; Journal of Physics D: Applied Physics
A novel target-field method for finite-length magnetic resonance shim coils: II. Tesseral shims; Journal of Physics D: Applied Physics
Determining complicated winding patterns for shim coils using stream functions and the target-field method; Concepts in Magnetic Resonance
Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth; Journal of Fluid Mechanics

Research Publications

3-D Gradient coil design-initial theoretical framework; IEEE Transactions on Biomedical Engineering
3D Gradient coil design - toroidal surfaces; Journal of Magnetic Resonance
3D gradient coil design for open MRI systems; Journal of Magnetic Resonance
A δ-plane simulation of anticyclones perturbing circumpolar flows to form a transient north polar hexagon; Royal Astronomical Society. Monthly Notices
A combustion wave of permanent form in a compressible gas; ANZIAM Journal
A Comparison of Two- and Three-variable Models for Combustion in Sealed Containers; Anziam Journal
A cylindrical Rayleigh-Taylor instability: radial outflow from pipes or stars; Journal of Engineering Mathematics
A Design Method for Asymmetric and Symmetric, Planar Gradient and Shim Coils; Kyoto 2004 meeting of the International Society for Magnetic Resonance in Medicine
A flexible method for rapid force computation in elliptical magnets; Measurement Science and Technology
A kinematical approach to gravitational lensing using new formulae for refractive index and acceleration; Monthly Notices of the Royal Astronomical Society
A line vortex in a two-fluid system; Journal of Engineering Mathematics
A model for the dynamics of Ross River Virus in the Australian environment; Letters in Biomathmatics
A note on a linearized approach to gravitational lensing; Monthly Notices of the Royal Astronomical Society
A note on steady flow into a submerged point sink; The ANZIAM Journal
A note on the flow of a homogeneous intrusion into a two-layer fluid; European Journal of Applied Mathematics
A note on the overall magnification of a gravitational point-source-point-lens system; Publications of the Astronomical Society of Australia
A note on travelling waves in competitive reaction systems; The ANZIAM Journal
A note on waveless subcritical flow past a submerged semi-ellipse; Journal of Engineering Mathematics
A note on withdrawal from a fluid of finite depth through a point sink; ANZIAM Journal
A novel target-field method for finite-length magnetic resonance shim coils: I. Zonal shims; Journal of Physics D: Applied Physics
A novel target-field method for finite-length magnetic resonance shim coils: II. Tesseral shims; Journal of Physics D: Applied Physics
A novel target-field method for magnetic resonance shim coils: III. Shielded zonal and tesseral coils; Journal of Physics D: Applied Physics
A rational approximation to the evolution of a free surface during fluid withdrawal through a point sink; ANZIAM Journal
A simple and practical algorithm for accurate gravitational magnification maps; Astronomical Society of Australia. Publications
A simple model for oilspill containment; ANZIAM Journal
A simple model of magnetic fields associated with outflow from a source; New orthogonal polynomials; European Journal of Applied Mathematics
A spectral method for Faraday waves in rectangular tanks; Journal of Engineering Mathematics
A study of nonlinear waves and resonance in intrusion flows; ANZIAM Journal
A Target-Field Method to Design Circular Biplanar Coils for Asymmetric Shim and Gradient Fields; IEEE Transactions on Magnetics
A temperature distribution model for gradient coils; SMRT 19th Annual Meeting
A theoretical method for the use of a phantom to enhance image reconstruction in MRI; Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering
A time-harmonic target-field method for designing shielded RF coils in MRI; Measurement Science and Technology
A time-harmonic target-field method for designing unshielded RF coils in MRI; Measurement Science and Technology
Accurate methods for computing inviscid and viscous Kelvin-Helmholtz instability ; Journal of Computational Physics
An Analytic Simplification for the Reconstruction Problem of Electrical Impedance Tomography; International Journal of Imaging Systems and Technology
An Analytical Approach to the Design of Quiet Cylindrical Asymmetric Gradient Coils in MRI; Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering
An intrusion layer in stationary incompressible fluids Part 2: A solitary wave; European Journal of Applied Mathematics
An intrusion layer in stationary incompressible fluids: Part 1: Periodic waves; European Journal of Applied Mathematics
An inverse design method for 3D toroidal gradient coils; ISMRM 17th Scientific Meeting and Exhibition
An inverse method for designing loaded RF coils in MRI; Measurement Science and Technology
An inverse method for designing RF phased array coils in MRI-theoretical considerations; Measurement Science & Technology
An inverse method for designing RF phased arrays with optimal coil geometry; Joint Annual Meeting ISMRM-ESMRMB
An inverse method for radio frequency phased array coil design in magnetic resonance imaging equipment; ANZIAM Journal
Applied Mathematics and MRI Coil Design; Fifth Biennial Engineering Mathematics and Applications Conference
Asymmetric zonal shim coils for magnetic resonance
Asymmetric zonal shim coils for magnetic resonance applications; Medical Physics
Axisymmetric outflows from binary point-source systems in the presence of an interface; Journal of Fluid Mechanics
Behaviour of gradient coils for MRI designed with minimised maximum current density; Compumag 2011 18th International Conference on the Computation of Electromagnetic Fields
Bi-planar coil assemblies for producing specified magnetic fields
Bi-planar coil assemblies for producing specified magnetic fields
Boundary element computation of fresh water groundwater lenses; Engineering Mathematics and Applications Conference
Calculating Temperature Distributions for Gradient Coils; Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering
Calculating the movement of MRI coils, and minimizing their noise; ANZIAM Journal
Chemical kinetics of a bipalladium complex; Journal of Physical Chemistry A
Combustion waves in Sal'nikov's reaction scheme in a spherically symmetric gas; Journal of Engineering Mathematics
Computing large-amplitude progressive Rossby waves on a sphere; Journal of Computational Physics
Computing Lorentz forces generated by gradient coils in an open MRI system; ANZIAM Journal
Computing unstable periodic waves at the interface of two inviscid fluids in uniform vertical flow; Journal of Computational Physics
Could Image Processing Enable Reduced Acoustic Noise during MRI Scans?; Concepts in Magnetic Resonance. Part B: Magentic Resonance Engineering
Designing 3D gradient coils for open MRI systems; SMRT 19th Annual Meeting
Designing gradient coils with reduced hot spot temperatures; Journal of Magnetic Resonance
Designing RF coils for magnetic resonance imaging; The 42nd Apllied Mathematics Conference
Determining complicated winding patterns for shim coils using stream functions and the target-field method; Concepts in Magnetic Resonance
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans; Journal of Applied Mathematics
Dynamical systems analysis of a five-dimensional trophic food web model in the Southern Oceans; Journal of Applied Mathematics
Dynamical systems analysis of a model describing Tasmanian devil facial tumour disease; The ANZIAM Journal
Dynamical systems analysis of a two level trophic food web in the Southern Oceans; ANZIAM Journal
Dynamical systems analysis of a two-level trophic food web in the Southern Ocean; ANZIAM Journal
Electromagnetic fields in the human body due to switched transverse gradient coils in MRI; Physics in Medicine and Biology
Ellipsoidal Harmonic (Lamé) MRI Shims; IEEE Transactions 0n Applied Superconductivity
Equi-flux streamline seeding for three-dimensional vector fields; Journal of Engineering Mathematics
Evolution of H II regions in hierarchically structured molecular clouds; Monthly Notices of the Royal Astronomical Society
Exact solutions for interfacial outflows with straining; The ANZIAM Journal
Flow due to a sink near a vertical wall, in infinitely deep fluid; Computers and Fluids
Free-surface flows emerging from beneath a semi-infinite plate with constant vorticity; Journal of Fluid Mechanics
Heating and coil design in magnetic resonance imaging; ANZIAM 2011
How strain and spin may make a star bi-polar; Journal of Fluid Mechanics
Image reconstruction in magnetic resonance imaging: the Phantom, Cat Woman and Transformers; ANZIAM 2011
Including Ionisation in a Simple Model of Single-bubble Sonoluminescence; ANZIAM Journal
Invisicid and viscous models of axisymmetric fluid jets or plumes; The ANZIAM Journal: (Australian and New Zealand Industrial and Applied Mathematics)
Journal of Engineering Mathematics - A Special Issue in Honour of E. O. Tuck; Journal of Engineering Mathematics
Kelvin-Helmholtz creeping flow at the interface between two viscous fluids; The ANZIAM Journal
Minimising hot spot temperature in gradient coil design; SMRT 19th Annual Meeting
Minimizing Hot Spot Temperature in Asymmetric Gradient Coil Design; IEEE Transactions on Biomedical Engineering
Minimum maximum temperature gradient coil design; Magnetic Resonance in Medicine
NMR shim coil design utilising a rapid spherical harmonic calculation method; ANZIAM Journal
Nonlinear behaviour of interacting mid-latitude atmospheric vortices; Journal of Engineering Mathematics
Novel Target-Field Method for Designing Shielded Biplanar Shim and Gradient Coils; IEEE Transactions on Magnets
On a possible mechanism for peripheral nerve stimulation during magnetic resonance imaging scans; Physics in Medicine and Biology
On modelling the transition to turbulence in pipe flow; ANZIAM Journal
On starting conditions for a submerged sink in a fluid; Journal of Engineering Mathematics
On the computation of steady axi-symmetric withdrawal from a two-layer fluid; Computers and Fluids
On turbulence modelling and the transition from laminar to turbulent flow; The ANZIAM Journal
Phase-retardation effects at radio frequencies in flat-plate conductors; ANZIAM Journal
Planar Rayleigh-Taylor instabilities: outflows from a binary line-source system; Journal of Engineering Mathematics
Rayleigh–Taylor instabilities in axi-symmetric outflow from a point source; The A N Z I A M Journal: (Australian and New Zealand Industrial and Applied Mathematics)
Rotating gravitational lenses: a kinematic approach; Monthly Notices of the Royal Astronomical Society
Salt-water up-coning during extraction of fresh water from a tropical island; Journal of Engineering Mathematics
Selective withdrawal of a two-layer viscous fluid; The ANZIAM Journal: (Australian and New Zealand Industrial and Applied Mathematics)
Shock–jump conditions in a general medium: weak-solution approach; Shock Waves
Sloshing of an ideal fluid in a horizontally forced rectangular tank; Journal of Engineering Mathematics
Smoothly attaching bow flows with constant vorticity; ANZIAM Journal
Spatially periodic temperature modulation of a compressible fluid; European Journal of Mechanics B: Fluids
Spectral solution methods for free-surface flow: the Rayleigh-Taylor problem; ANZIAM Journal
Steady flow of a buoyant plume into a constant-density layer; Journal of Engineering Mathematics
Steady free surface flows induced by a submerged ring source or sink; Journal of Fluid Mechanics
Steady periodic waves in a three-layer fluid with shear in the middle layer; Journal of Fluid Mechanics
Super-critical withdrawal from a two-layer fluid through a line sink if the lower layer is of finite depth; Journal of Fluid Mechanics
The Bernoulli Equation in PDE form modelling Interfacial Fluid Flows; The 49th ANZIAM Conference
The cylindrical magnetic Rayleigh-Taylor instability for viscous fluids; Physics of Plasmas
The design of a full-scale industrial mineral leaching process; Applied Mathematical Modelling
The effect of surface tension on free-surface flow induced by a point sink; ANZIAM Journal
The efficient design of asymmetrical tesseral shim coils for Magnetic Resonance Imaging applications
The formation of large-amplitude fingers in atmospheric vortices; ANZIAM Journal
The initiation of a planar fluid plume beneath a rigid lid; Journal of Engineering Mathematics
The lens of freshwater in a tropical island-2d withdrawal; Computers and Fluids
The magnetic Rayleigh-Taylor instability for inviscid and viscous fluids; Physics of Plasmas
The Rayleigh-Taylor instability for inviscid and viscous fluids; Journal of Engineering Mathematics
The Stochastic Design of Force-Minimised Compact Magnets for High-Field Magnetic Resonance Imaging Applications; IEEE Transactions on Applied Superconductivity
Theoretical design of 3D gradient coils; ISMRM 17th Scientific Meeting and Exhibition
Thermal solitons: travelling waves in combustion; Royal Society of London. Proceedings. Mathematical, Physical and Engineering Sciences
Tikhonov Regularization Approach for Acoustic Noise Reduction in an Asymmetric, Self-Shielded MRI Gradient Coil; Concepts in Magnetic Resonance. Part B
Transition to turbulence from plane Couette flow; The ANZIAM Journal
Travelling waves and oscillations in Sal'nikov's combustion reaction in a compressible gas; The ANZIAM Journal
Unsteady free-surface flow induced by a line sink; Journal of Engineering Mathematics
Unsteady draining flows from a rectangular tank; Physics of Fluids
Unsteady draining of a fluid from a circular tank; Applied Mathematical Modelling
Unsteady Flow Induced by a Withdrawal Point Beneath a Free Surface; Anziam Journal
Unsteady flows induced by a point source or sink in a fluid of finite depth; European Journal of Applied Mathematics
Unsteady free surface flow induced by a line sink in a fluid of finite depth; Computers & Fluids
Unsteady plumes in planar flow of viscous and inviscid fluids; IMA Journal of Applied Mathematics
Using the Spatial Population Abundance Dynamics Engine for conservation management; Methods in Ecology and Evolution
Waveless subcritical flow past symmetric bottom topography; European Journal of Applied Mathematics
Waves in two-layer shear flow for viscous and inviscid fluids; European Journal of Mechanics B - Fluids
Winding patterns for actively shielded shim coils with asymmetric target-fields; Measurement Science and Technology
Winding patterns for biplanar MRI shim coils with rectangular and circular target-field regions; Measurement Science and Technology
Withdrawal from the lens of freshwater in a tropical island: The two interface case; Computers and Fluids

Research Projects

A 10 Gbit/s Fibre Optic Link to the Mt Pleasant and Mt Canopus Observatories; Australian Research Council (ARC)
Advanced Magnetic Resonance Engineering; Australian Research Council (ARC)
APAC Partnership Agreement -Tasmanian Partnership in Advanced Computing (TPAC) Centre for Expertise and Education Program (continuation); National Computational Infrastructure (NCI)
Developing a Cross-faculty Climate Change Focussed Research Centre at Utas; University of Tasmania (UTAS)
Hidden Earths and Distant Suns: A New Optical Astronomy Observatory in Tasmania; Australian Research Council (ARC)
High Field Magnetic Resonance Engineering; Australian Research Council (ARC)
High Performance Computing for Mathematics, Chemistry, Engineering and Climate Research; Australian Research Council (ARC)
Improving understanding of Ross River virus transmission, impacts of current mosquito management and alternative vector control ; Department of Health Western Australia (DoHWA)
Managing Fresh-Water Resources in Saline Environments; Australian Research Council (ARC)
Outflows, Jets and Plumes; Australian Research Council (ARC)
Shielded and Unshielded Biplanar Shim Coils for Magnetic Resonance Imaging; University of Tasmania (UTAS)
Tasmanian Partnership in Advanced Computing (TPAC) Centre for Expertise and Education Program; National Computational Infrastructure (NCI)
The Design of Novel Radio-frequency Coils for Magnetic Resonance Imaging and Spectroscopy; Australian Research Council (ARC)
Viscous Effects in Free-Surface Flows; Australian Research Council (ARC)
Donation-Maths and Physics Support research/teaching appointment of Dr Stefarn Dieter
Donation-Maths and Physics, Support Research at Mt Canopus Observatory
Magnet Design for Magnetic Resonance Systems (Larry Forbes)

Research Candidate Supervision

A Daily Tag Return Model for Lobster Fisheries
A Kinematical Approach to Gravitational Lensing
Active Galactic Nuclei Dynamics through studies of water megamasers
An Inverse Method for Designing High-frequency RF Coils in MRI
Classical and Quantum non-linear supersymmetries biology
Combustion Waves in Chemical Reactions
Control of Ion Motion in Rotating Magnetic Field Current Drive
Dynamic Model Selection in Agent-Based Simulation Models
Dynamical Systems Analysis of a Two-Level Trophic Food Web in the Southern Oceans
Energy Balance Models in the Earth-Sun System in Relation to Climate.
Faraday Resonance in Radial Outflow
Flame Properties and Fire Spread on Cylindrical Fuel Beds
Fluid dynamics and waves
Free-Boundary Problems in Reaction-Diffusion Equations
Group Invariant Solutions of the Yang-Mills Equations for Weak and Electroweak Interactions
Instabilities in High and Low Pressure Systems
Interfacial Waves in Shear Flows
Linear and Nonlinear Progressive Rossby Waves on a Fotating Sphere
Modelling Water and Solute Transport in Chara- A Numerical Study of the Effects of Unstirred Layers on Membrane Parameter Estimation
Nonlinear Applications of Markov Chain Monte Carlo
Population and Disease Modelling in the Tasmanian Devil
Pro-active Acoustic Noise Reduction for Magnetic Resonance Imaging Scanners
Single Exponential Approximation of Fourier Transforms
Small-scale structure of bubbles in the Interstellar Medium
Statistical Inference for Movement Behaviour Using Animal Tracking Data
The Magnetic Rayleigh-Taylor Instability