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Inertial Fusion Energy: Optimising High Energy Density Physics in Complex Geometries

Lead Research Organisation: Imperial College London
Department Name: Physics

Abstract

Climate change driven by burning coal or oil, and fuel supply insecurity caused by international conflicts highlight the need to develop safer, cleaner ways of generating electrical power. Renewables and nuclear fission both play an important role here, but each has limitations. Wind and waves are subject to natural variations, while fission reactors require careful, long term management of dangerous waste.

One attractive alternative for the future is fusion energy, harnessing the same nuclear reactions that power the sun. To create fusion on Earth we "burn" an isotope of hydrogen (deuterium, 0.03% of the mass in the world's oceans), a vast, easy to access fuel supply. The deuterium is combined with tritium (another hydrogen isotope) and under extremes of temperature, pressure and density these can fuse to form Helium and in doing so release huge amounts of energy. The reaction generates no greenhouse gasses, and is relatively clean with very short lived, easy-to-handle waste material, however the conditions required to create fusion are very difficult to make.

There are several methods for getting to Fusion conditions, including using large magnets to trap a hot plasma over long timescales, or utilising an array of lasers to suddenly heat and compress a small pellet of frozen fusion fuel, causing it to implode in a spherically symmetric fashion. This last method, called Inertial Confinement Fusion, recently had a breakthrough in results, with the world's most complex, expensive laser, being utilised to heat a precisely engineered fusion target to the point of causing 'ignition' where heat generated within the target was briefly enough to sustain the continued burn of fusion fuel. However, with present laser technology it would be challenging to scale such a method to energy production.

In new experiments at First Light Fusion, a company based in Oxfordshire, a different approach to fusion is being developed. Instead of lasers hitting the fuel capsule from all sides, a single high speed projectile is used to hit a specially machined metal and plastic target from just one side. Inside the target, shockwaves from the impact of the projectile are shaped and concentrated, compressing and heating an enclosed volume of Deuterium-Tritium fuel. In April 2022 First Light Fusion released their first results, demonstrating that this method provides a promising route that warrants further research.

Our project brings together three universities, Imperial College, Oxford and York in partnership with First Light Fusion and a new company dedicated to AI techniques - Machine Discovery - to form a Partnership that will explore the challenges in the First Light Fusion approach. Working together we will study the flow of heat, matter and radiation in First Light Fusion's targets which have complex interfaces between vastly different material pressures, from over a billion atmospheres to room pressure, and material temperatures, from millions of 0C to those lower than liquid nitrogen.

By exploring these exciting conditions and learning how heat, radiation and matter flow in the targets, we hope to be able to better simulate how these targets behave. This will enable First Light Fusion to design much higher yield experiments that could lead the way to 'on grid' power production. The high yield experiments will require projectiles moving at many 10s of km/s which will be achieved by using huge bursts of electrical current - 50 million amperes! - and the magnetic fields this creates to launch large strips of metal to these ultra-high velocities. The £500million generator to make such high currents is presently being designed and will be built in the UK, helping our nation maintain its position as a world leader in fusion technology and industry.

Publications

10 25 50
 
Title A dataset of X-ray driven material ablation studies 
Description An important factor in ICF fusion experiments will be the properties of warm dense material ablated from the interfaces of targets (amplifier and fuel) by any X-ray radiation. A multi-KJ X-ray radiation platform has been developed at Imperial College, and this is being utilized to make detailed measurements of ablated material from different Z targets - including temperature, density, ionization etc. This database will then be utilised to validate Radiative (Magneto) Hydrodynamics codes 
Type Of Material Database/Collection of data 
Year Produced 2024 
Provided To Others? No  
Impact The experiments have also resulted in funding for a new PhD with AWE starting Oct 2025 
 
Title Developement numerical solvers for accurate simulations of compressible multicomponent flows across all-Mach number. 
Description Numerical simulation of multi-component flow systems characterized by the simultaneous presence of pressure-velocity coupling and pressure-density coupling dominated regions remains a significant challenge in computational fluid dynamics. Thus, this work presents a novel approach that combines the Godunov-type scheme for high-speed flows with the projection solution procedure for incompressible flows to address this challenge. The proposed hybrid approach begins by splitting the inviscid flux into the advection part and the pressure part. The solution variables are first updated to their intermediate states by solving the advection part with the all-speed AUSM (Advection Upwind Splitting Method) Riemann solver. The advection flux in AUSM is modified to eliminate the pressure flux term that deteriorates the accuracy at the low Mach region. To prevent the advection flux from causing spurious velocities when surface tension is present, the pressure-velocity coupling term is modified to ensure it vanishes at material interfaces. Then, we derive the pressure Helmholtz equation to solve the final pressure and update the intermediate states to the solution variables at the next time step. The proposed hybrid approach retains the upwind property of the AUSM scheme for high Mach numbers while recovering central schemes and the standard projection solution for low Mach limits. To accurately resolve the complex flow structures including shock waves and material interfaces without numerical oscillations, a newly proposed homogenous ROUND (Reconstruction Operator on Unified Normalised-variable Diagram) reconstruction strategy is employed in this work. By simulating high-speed compressible multiphase flows and incompressible multiphase flows, this study demonstrates the ability of the proposed method to accurately handle flow regimes across all Mach numbers. 
Type Of Material Computer model/algorithm 
Year Produced 2025 
Provided To Others? Yes  
Impact The model will be released once publications have been accepted 
URL https://doi.org/10.48550/arXiv.2502.02570
 
Title Development of a diagnostic tool for shock-capturing schemes across discontinuities 
Description We have introduced a novel diagnostic tool for evaluating the convection boundedness properties of numerical schemes across discontinuities. The proposed method is based on the convection boundedness criterion and the normalised variable diagram. By utilising this tool, we can determine the CFL conditions for numerical schemes to satisfy the convection boundedness criterion, identify the locations of over- and under-shoots, optimize the free parameters in the schemes, and develop strategies to prevent numerical oscillations across the discontinuity. We apply the diagnostic tool to assess representative discontinuity-capturing schemes, including THINC, fifth-order WENO, and fifth-order TENO, and validate the conclusions drawn through numerical tests. We further demonstrate the application of the proposed method by formulating a new THINC scheme with less stringent CFL conditions 
Type Of Material Computer model/algorithm 
Year Produced 2025 
Provided To Others? Yes  
Impact The technique is incorporated into a new model of high MACH number multi-phase flow will be released this year, once publications have been accepted 
URL https://doi.org/10.48550/arXiv.2411.06152
 
Description Collaboration with LLNL on development of K2 code for non-local electron transport and the generation of magnetic fields 
Organisation Lawrence Livermore National Laboratory
Country United States 
Sector Public 
PI Contribution Colleagues at York are looking to incorporate the Vlasov Fokker Planck capabilities of the K2 code at LLNL into local MHD codes (including the Imperial College Gorgon code) to provide simulations that better account for non-local heat transport.
Collaborator Contribution Colleagues at LLNL are leading efforts in developing K2. Both LLNL and York are comparing the results of simulations with and without non-local heat flow.
Impact None as yet
Start Year 2023
 
Description Collaboration with LLNL on shock waves, instabilities and hydrodynamics, with focus on code validation and use of ML in simulations to mitigate instabilities and optimize shockwaves 
Organisation Lawrence Livermore National Laboratory
Country United States 
Sector Public 
PI Contribution Utilizing synchrotron based radiography and arbitrarily shaped shockwaves driven by our pulsed power platform at ESRF, we have been able to perform detailed measurements of instability development and explore methods to mitigate these instabilities, providing key validation to advanced numerical codes ran at LLNL. Most recently we hosted researchers from LLNL at ESRF, enabling them to perform their own experiments using these techniques.
Collaborator Contribution Our partners at LLNL (in a team led by Jonathan L. Belof) have provided incredibly detailed hydrodynamic simulations, optimizing experimental setups for our driver and potential targets/target geometries (different shockwave speeds and shapes, target strengths etc). This has enabled quantitative comparison to our experimental results.
Impact 1 paper in the process of being submitted to Nature communications, several more being planned
Start Year 2023
 
Description Collaboration with multiple universities and Rutherford Appleton Laboratories through UPLiFT 
Organisation Rutherford Appleton Laboratory
Department Central Laser Facility
Country United Kingdom 
Sector Academic/University 
PI Contribution Colleagues at York and Imperial are providing simulations to predict the effects of laser driven, direct drive fusion experiments
Collaborator Contribution UPLiFT is a UK wide effort, headed by RAL, to provide a direct drive inertial confinement fusion capability. UPLiFT focuses on three key areas: implosion capsule targets, high-gain physics and the laser driver. The funding to York and Imperial provided money for postdoc researchers exploring different aspects of the direct drive fusion scheme.
Impact At its lowest level UPLift works through funding of postdoctoral researchers, at its highest level campaigning the UK Gov funding for research into Inertial Fusion Energy
Start Year 2023
 
Description EMI Fraunhofer 2-stage gun 
Organisation Fraunhofer Institute for High-Speed Dynamics, Ernst-Mach-Institut
Country Germany 
Sector Public 
PI Contribution This collaboration centres around the securing of a dedicated 2-stage gas gun for the ID19 beamline at ESRF, to enable experiments at much higher velocities and conditions than the current single-stage gun. The collaboration involved meetings with EMI scientists, and sharing of earlier proposals, objectives, and specifications with EMI.
Collaborator Contribution EMI scientists prepared a proposal to the BMBF (which could only be applied by a German organisation) to fund a bespoke two-stage gas gun, which if successful would be made available to the Prosperity Partnership.
Impact The primary outcome of this collaboration has been a proposal to BMBF to fund a two-stage gas gun. A secondary output is increased visibility of the partnerships' research with our EMI colleagues, which may lead to future collaborative experiments in the area of fusion science or related topics.
Start Year 2024
 
Description MAGLIF Stability working group 
Organisation University of Michigan
Country United States 
Sector Academic/University 
PI Contribution Provided new data on ETI instability from radiography on Synchrotrons and X-ray Lasers
Collaborator Contribution For ETI Sandia National Laboratories is comparing our experimental results with their simulation efforts; and we are cross comparing them to the results of the inhouse Gorgon code at Imperial College.
Impact We now have agreements in place to compare and modify conductivity tables in our simulations.
Start Year 2023
 
Title An openfoam library for high-resolution convection scheme on non-uniform meshes 
Description An openfoam library for high-resolution convection scheme on non-uniform meshes 
Type Of Technology Software 
Year Produced 2024 
Open Source License? Yes  
Impact Interfaces between materials act as a seed for many instabilities. Modelling them accurately and efficiently requires the use of non uniform meshes - but this makes many hydrodynamic convection schemes difficult to then utilise. This library enables a high-resolution convection scheme on non-uniform meshes in Openfoam software. 
URL https://doi.org/10.5281/zenodo.12583900
 
Title Multiplexed X-ray radiography sorting and balancing Macro 
Description In many experiments on ID19 at ESRF a pulse train of X-rays with interpulse timing 176ns are used to provide radiography of a target. The X-rays are imaged via a scintillator, and two high speed Shimadzu X2 cameras, which must be employed as the cameras have a set frame rate that does not match the 176ns timing. The software accounts for cable timing, the decay of the scintillator etc, selects the appropriate frames from each camera to ensure there are no missing or duplicated frames, then aligns these and subtracts any background. 
Type Of Technology Software 
Year Produced 2024 
Open Source License? Yes  
Impact Has enabled simplified data recovery for multiple users in Shock Beam Allocation group - so measurements can be made far faster, and more time spent on the science 
 
Title XHeat 
Description XHeat is a python-based code that models the energy deposition into a scintillator due to X-ray exposure. The code relies upon a calculated X-ray flux from XOP, and uses a Monte Carlo approach to deposit this energy into a crystal of known absorption and thermodynamic properties, modelling heat transport through a 2D finite element solver. 
Type Of Technology Software 
Year Produced 2024 
Impact This code allows the heating of a scintillator to be accounted for in other simulations of indirect detection-based X-ray imaging experiments. Most importantly, it helps account for a different number of emitted scintillation photons due to the non-uniform temperature, which is essential for any calculation which relies on detected intensity (e.g. quantitative density). 
 
Title all-Mach multiphase flow code 
Description A new code for all-Mach multiphase flow is ready for release once multiple publications, now in review, are accepted. 
Type Of Technology Software 
Year Produced 2025 
Impact This will be the first/one of the only user hydrodynamics codes that can handle high MACH number flows with multiple phases (e.g. gas/liquid foams) 
 
Description Fusion Ignite Webinar - given by MACH42, East Alpha, Imperial College London, and First Light Fusion 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach International
Primary Audience Professional Practitioners
Results and Impact During the webinar, we discussed how the fusion landscape is changing and growing, and what new technology will help power the next wave of fusion applications. Some of the key highlights include:
A look at the current fusion landscape and future investment potential
An introduction to the AMPLIFI Prosperity Partnership
A demonstration of the Discovery Platform and how this AI-powered technology is used within the Partnership
Year(s) Of Engagement Activity 2025
URL https://mach42.ai/resource-Webinar-FusionIgnitePoweringtheNextEnergy.html
 
Description New web page for Partnership 
Form Of Engagement Activity Engagement focused website, blog or social media channel
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Public/other audiences
Results and Impact The Amplifi Website has a news stream page that is semi-regularly updated, alongside its Linkedin, often generating many views, alongside questions and interest. It also helps with our recruitment of summer students and postdocs.
Year(s) Of Engagement Activity 2024,2025
URL https://www.amplifi-partnership.org.uk/news
 
Description School visits with UKAEA 
Form Of Engagement Activity Participation in an activity, workshop or similar
Part Of Official Scheme? No
Geographic Reach National
Primary Audience Schools
Results and Impact Colleagues at First Light Fusion, working with UKAEA have performed a number of school visits (5) to promote Fusion over the last year
Year(s) Of Engagement Activity 2024
 
Description U3a talk on First Light Fusion and Fusion energy 
Form Of Engagement Activity A talk or presentation
Part Of Official Scheme? No
Geographic Reach Local
Primary Audience Public/other audiences
Results and Impact A talk to the U3A group in Fleet by Hugo Doyle of First Light Fusion
Year(s) Of Engagement Activity 2024
URL https://odiham.u3asite.uk/u3a_events/first-light-fusion-by-hugo-doyle/