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03/27/2023
Probing optimisation in physics-informed neural networks
A novel comparison is presented of the effect of optimiser choice on the...
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02/26/2023
On the anti-aliasing properties of entropy filtering for under-resolved turbulent flows
For increasingly large Reynolds number flows, the computational cost of ...
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06/02/2022
An extended range of stable flux reconstruction schemes on quadrilaterals for various polynomial bases
An extended range of energy stable flux reconstruction schemes, develope...
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03/29/2022
An extended range of energy stable flux reconstruction methods on triangles
We present an extended range of stable flux reconstruction (FR) methods ...
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02/20/2022
Nonlinear p-multigrid preconditioner for implicit time integration of compressible Navier–Stokes equations
Within the framework of p-adaptive flux reconstruction, we aim to constr...
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01/05/2022
On the Use of RBF Interpolation for Flux Reconstruction
Flux reconstruction provides a framework for solving partial differentia...
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10/07/2021
Utilizing Time-Reversibility for Shock Capturing in Nonlinear Hyperbolic Conservation Laws
In this work, we introduce a novel approach to formulating an artificial...
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07/22/2021
Hyperbolic Diffusion in Flux Reconstruction: Optimisation through Kernel Fusion within Tensor-Product Elements
Novel methods are presented in this initial study for the fusion of GPU ...
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07/10/2021
Bounds Preserving Temporal Integration Methods for Hyperbolic Conservation Laws
In this work, we present a modification of explicit Runge-Kutta temporal...
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11/01/2020
A Riemann Difference Scheme for Shock Capturing in Discontinuous Finite Element Methods
We present a novel structure-preserving numerical scheme for discontinuo...
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08/12/2020
On Fourier analysis of polynomial multigrid for arbitrary multi-stage cycles
The Fourier analysis of the p-multigrid acceleration technique is consid...
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02/27/2020