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

There have been growing research interests in high-order discontinuous schemes over
recent years. With established theoretical basis and framework, more efforts have recently …

This book introduces the basic ideas to build discontinuous Galerkin methods and, at the
same time, incorporates several recent mathematical developments. The presentation is to a …

Mathematicsisplayinganevermoreimportant…-ical sciences, provoking a blurring of
boundaries between scienti? c disciplines and a resurgence of interest in the modern as …

In this paper, we investigate the accuracy and efficiency of discontinuous Galerkin spectral
method simulations of under‐resolved transitional and turbulent flows at moderate Reynolds …

We present a hybridizable discontinuous Galerkin method for the numerical solution of
steady and time-dependent linear convection–diffusion equations. We devise the method as …

In this work we consider a special implementation of a discontinuous Galerkin (DG) method
for general unstructured hexahedral element meshes called the discontinuous Galerkin …

The present work predicts the formation of laminar separation bubbles at low Reynolds
numbers and the related transition to turbulence by means of Implicit Large Eddy …

We introduce a new approach to high-order accuracy for the numerical solution of diffusion
problems by solving the equations in differential form using a reconstruction technique. The …

An improvement to the classical finite element (FE) method is proposed. It is able to exactly
represent the geometry by means of the usual CAD description of the boundary with non …