As the total value of the global financial market outgrew the value of the real economy,
financial institutions created a global web of interactions that embodies systemic risks …

Popular high-order schemes with compact stencils for Computational Fluid Dynamics (CFD)
include Discontinuous Galerkin (DG), Spectral Difference (SD), and Spectral Volume (SV) …

High-order numerical methods for unstructured grids combine the superior accuracy of high-
order spectral or finite difference methods with the geometric flexibility of low-order finite …

The design of flow control systems remains a challenge due to the nonlinear nature of the
equations that govern fluid flow. However, recent advances in computational fluid dynamics …

First-and second-order accurate numerical methods, implemented for CPUs, underpin the
majority of industrial CFD solvers. Whilst this technology has proven very successful at …

In this work, we present a positivity-preserving entropy-based adaptive filtering method for
shock capturing in discontinuous spectral element methods. By adapting the filter strength to …

The correction procedure via reconstruction (CPR, formerly known as flux reconstruction) is
a framework of high order methods for conservation laws, unifying some discontinuous …

The flux reconstruction (FR) approach unifies various high-order schemes, including
collocation based nodal discontinuous Galerkin methods, and all spectral difference …

Discretization of the convection term in a three-cell compact stencil has been widely used in
Computational Fluid Dynamics (CFD) of engineering because the second-order …

Large eddy simulation (LES) has been shown to be very promising in computing vortex-
dominated turbulent flows. The proliferation of high-order methods capable of handling …