34 citations · 63 across the 12 of their papers we have counts for
14 papers
Direct numerical simulations of the supersonic Taylor--Green vortex via the Boltzmann equation
Tarik Dzanic, Will Trojak, Luigi Martinelli
We explore the dynamics of the three-dimensional compressible Taylor--Green vortex from the perspective of kinetic theory by directly solving the six-dimensional Boltzmann equation…
PyFR v2.0.3: Towards Industrial Adoption of Scale-Resolving Simulations
Freddie D. Witherden, Peter E. Vincent, Will Trojak +17
PyFR is an open-source cross-platform computational fluid dynamics framework based on the high-order Flux Reconstruction approach, specifically designed for undertaking high-accura…
Positivity-preserving discontinuous spectral element methods for compressible multi-species flows
Will Trojak, Tarik Dzanic
We introduce a novel positivity-preserving, parameter-free numerical stabilisation approach for high-order discontinuous spectral element approximations of compressible multi-speci…
On the anti-aliasing properties of entropy filtering for discontinuous spectral element approximations of under-resolved turbulent flows
Tarik Dzanic, Will Trojak, Freddie D. Witherden
For large Reynolds number flows, it is typically necessary to perform simulations that are under-resolved with respect to the underlying flow physics. For nodal discontinuous spect…
Nonlinear p-multigrid preconditioner for implicit time integration of compressible Navier--Stokes equations
Lai Wang, Will Trojak, Freddie Witherden +1
Within the framework of -adaptive flux reconstruction, we aim to construct efficient polynomial multigrid (MG) preconditioners for implicit time integration of the Navier--…
Artificial Compressibility Approaches in Flux Reconstruction for Incompressible Viscous Flow Simulations
Will Trojak, Nagabhushana Rao Vadlamani, James Tyacke +2
Several competing artificial compressibility methods for the incompressible flow equations are examined using the high-order flux reconstruction method. The established artificial…
Utilizing Time-Reversibility for Shock Capturing in Nonlinear Hyperbolic Conservation Laws
Tarik Dzanic, Will Trojak, Freddie D. Witherden
In this work, we introduce a novel approach to formulating an artificial viscosity for shock capturing in nonlinear hyperbolic systems by utilizing the property that the solutions…
Hyperbolic Diffusion in Flux Reconstruction: Optimisation through Kernel Fusion within Tensor-Product Elements
Will Trojak, Rob Watson, Freddie Witherden
Novel methods are presented in this initial study for the fusion of GPU kernels in the artificial compressibility method (ACM), using tensor product elements with constant Jacobian…
Bounds Preserving Temporal Integration Methods for Hyperbolic Conservation Laws
Tarik Dzanic, Will Trojak, Freddie D. Witherden
In this work, we present a modification of explicit Runge-Kutta temporal integration schemes that guarantees the preservation of any locally-defined quasiconvex set of bounds for t…
A Riemann Difference Scheme for Shock Capturing in Discontinuous Finite Element Methods
Tarik Dzanic, Will Trojak, Freddie D. Witherden
We present a novel structure-preserving numerical scheme for discontinuous finite element approximations of nonlinear hyperbolic systems. The method can be understood as a generali…
Accuracy, Stability, and Performance Comparison between the Spectral Difference and Flux Reconstruction Schemes
Christopher Cox, Will Trojak, Tarik Dzanic +2
We report the development of a discontinuous spectral element flow solver that includes the implementation of both spectral difference and flux reconstruction formulations. With th…
On Fourier analysis of polynomial multigrid for arbitrary multi-stage cycles
Will Trojak, Freddie D. Witherden
The Fourier analysis of the \emph{p}-multigrid acceleration technique is considered for a dual-time scheme applied to the advection-diffusion equation with various cycle configurat…
Inline Vector Compression for Computational Physics
Will Trojak, Freddie Witherden
A novel inline data compression method is presented for single-precision vectors in three dimensions. The primary application of the method is for accelerating computational physic…
A New Family of Weighted One-Parameter Flux Reconstruction Schemes
Will Trojak, Freddie Witherden
The flux reconstruction (FR) approach offers a flexible framework for describing a range of high-order numerical schemes; including nodal discontinuous Galerkin and spectral differ…