## 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

Microfluidics and nanofluidics

Computational methods in fluid flow, heat and mass transfer (incl. computational fluid dynamics)

Medical physics

Applied mathematics

Biological mathematics

Biomedical instrumentation

Fluid mechanics and thermal engineering

Optimisation

Stellar astronomy and planetary systems

Medical devices

Galactic astronomy

Ordinary differential equations, difference equations and dynamical systems

Hydrology

Numerical analysis

Numerical solution of differential and integral equations

Dynamical systems in applications

Mathematical aspects of general relativity

Reaction kinetics and dynamics

Palaeoclimatology

Biomedical engineering

Seismology and seismic exploration

Algebraic structures in mathematical physics

Astronomical instrumentation

Approximation theory and asymptotic methods

Accelerators

Glaciology

Wildlife and habitat management

Host-parasite interactions

Biological physics

Mathematical physics

Planetary science (excl. solar system and planetary geology)

Population ecology

Environmental management

Chemical thermodynamics and energetics

Astronomical sciences

Oceanography

Information retrieval and web search

Ship and platform structures (incl. maritime hydrodynamics)

Theoretical quantum chemistry

Turbulent flows

Air pollution modelling and control

Engineering instrumentation

Combinatorics and discrete mathematics (excl. physical combinatorics)

Architectural science and technology

Environment and resource economics

Environmental law

Environmentally sustainable engineering

Petroleum and reservoir engineering

Navigation and position fixing

Mechanical engineering

Numerical computation and mathematical software

Communications engineering

## Research Objectives

Expanding knowledge in the mathematical sciences

Expanding knowledge in the physical sciences

Expanding knowledge in engineering

Expanding knowledge in the environmental sciences

Control of pests, diseases and exotic species in terrestrial environments

Social impacts of climate change and variability

Expanding knowledge in the chemical sciences

Scientific instruments

Expanding knowledge in the earth sciences

Medical instruments

Other environmental management

Aerospace equipment

Assessment and management of Antarctic and Southern Ocean ecosystems

Climate variability (excl. social impacts)

Climate change adaptation measures (excl. ecosystem)

Management of Antarctic and Southern Ocean environments

Organic industrial chemicals (excl. resins, rubber and plastics)

Nautical equipment

Wind energy

Hydro-electric energy

Oceanic processes (excl. in the Antarctic and Southern Ocean)

Coastal and estuarine systems and management

Climate change mitigation strategies

Effects of climate change on Australia (excl. social impacts)

Terrestrial systems and management

Climate change models

Other 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; **Monthly Notices of the Royal Astronomical Society**

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 basis set for shim coil design in magnetic resonance imaging; **Concepts in Magnetic Resonance Part B: Magnetic Resonance Engineering**

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 model for the treatment of environmentally transmitted sarcoptic mange in bare-nosed wombats (*Vombatus ursinus*); **Journal of Theoretical Biology**

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; **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 reacting shock in a spherically symmetric gas; **Journal of Engineering Mathematics**

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**

Axisymmetric plumes in viscous fluids; **ANZIAM Journal**

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**

Closed-form approximation for supersonic flow over a cone; **Shock Waves**

Closed-form approximation for supersonic flow over a cone; **Shock Waves**

Combustion waves in Sal'nikov's reaction scheme in a spherically symmetric gas; **Journal of Engineering Mathematics**

Compressibility effects on outflows in a two-fluid system. 1. Line source in cylindrical geometry; **Journal of Engineering Mathematics**

Compressibility effects on outflows in a two-fluid system. 2. Point source in spherical geometry; **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**

Fully 3D Rayleigh-Taylor instability in a Boussinesq fluid; **ANZIAM Journal**

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**

Instability of a dense seepage layer on a sloping boundary; **Journal of Fluid Mechanics**

Interfacial behaviour in two-fluid taylor-couette flow; **Quarterly Journal of Mechanics and Applied Mathematics**

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**

Planetary waves in polar basins: Some exact solutions; **Applied Mathematics Letters**

Rayleigh–Taylor instabilities in axi-symmetric outflow from a point source; **ANZIAM Journal**

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; **ANZIAM Journal**

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 flow of a Reiner-Rivlin fluid between rotating plates; **Physics of Fluids**

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 in a fluid of finite depth; **Computers and Fluids**

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**

WARF: a weighted-sum approach to radial MRI image reconstruction with a rotating RF coil; **IEEE Transactions on Computational Imaging**

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)**

Detecting change in the outlet glaciers of East Antarctica using seismology; **Australian Research Council (ARC)**

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