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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--…
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…
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…
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…