4 citations · 6 across the 9 of their papers we have counts for
10 papers
Learning Spectrally Optimised Mesh-Free Discretisations
Lucas Gerken Starepravo, Henry Broadley, Steven Lind +1
Numerical methods for partial differential equations (PDEs) discretise differential operators, ideally reproducing the action of the continuous operators across all wavenumbers per…
Elasto-inertial transitions in viscoelastic flows through cylinder arrays
Jack R. C. King, Henry M. Broadley, Miguel Beneitez
For dilute solutions of polymers, chaotic flow states can occur at lower Reynolds numbers than required for inertial turbulence in Newtonian fluids, offering the potential for incr…
Learning Mesh-Free Discrete Differential Operators with Self-Supervised Graph Neural Networks
Lucas Gerken Starepravo, Georgios Fourtakas, Steven Lind +3
Mesh-free numerical methods provide flexible discretisations for complex geometries; however, classical meshless discrete differential operators typically trade low computational c…
Compact LABFM: a framework for meshless methods with spectral-like resolving power
Henry M. Broadley, Steven J. Lind, Jack R. C. King
Meshless methods are often used in numerical simulations of systems of partial differential equations (PDEs), particularly those which involve complex geometries or free surfaces.…
A p-adaptive high-order mesh-free framework for fluid simulations in complex geometries
Ruofeng Feng, Jack R. C. King, Steven J. Lind
This paper presents a novel p-adaptive, high-order mesh-free framework for the accurate and efficient simulation of fluid flows in complex geometries. High-order differential opera…
High-order mesh-free direct numerical simulation of lean hydrogen flames in confined geometries
H. M. Broadley, S. J. Lind, J. R. C. King
Here we perform the first analysis of high-fidelity simulations of the propagation of lean hydrogen flames through porous media, taking cylindrical arrays a representative example…
Uncertainty in Elastic Turbulence
Jack R. C. King, Robert J. Poole, Cláudio P. Fonte +1
Elastic turbulence can lead to to increased flow resistance, mixing and heat transfer. Its control -- either suppression or promotion -- has significant potential, and there is a c…
A new complex fluid flow phenomenon: Bubbles-on-a-String
Thomas P. John, Jack R. C. King, Steven J. Lind +1
A liquid jet plunging into a quiescent bath of the same liquid is a fundamental fluid mechanical problem underpinning a range of processes in industry and the natural world. Signif…
A mesh-free framework for high-order simulations of viscoelastic flows in complex geometries
Jack R. C. King, Steven J. Lind
The accurate and stable simulation of viscoelastic flows remains a significant computational challenge, exacerbated for flows in non-trivial and practical geometries. Here we prese…
A mesh-free framework for high-order direct numerical simulations of combustion in complex geometries
Jack R. C. King
The multiscale nature of turbulent combustion necessitates accurate and computationally efficient methods for direct numerical simulations (DNS). The field has long been dominated…