Theoretical studies and numerical experiments suggest that unstructured high-order
methods can provide solutions to otherwise intractable fluid flow problems within complex …

In this work we investigate the use of linearly implicit Rosenbrock-type Runge–Kutta
schemes to integrate in time high-order Discontinuous Galerkin space discretizations of the …

The flux reconstruction (FR) approach allows various well-known high-order schemes, such
as collocation based nodal discontinuous Galerkin (DG) methods and spectral difference …

High-order methods for unstructured grids provide a promising option for solving
challenging problems in computational fluid dynamics. Flux reconstruction (FR) is a …

In this paper, the ability of high-order flux reconstruction numerical schemes to perform
accurate and stable computations of compressible turbulent flows on coarse meshes is …

An accurate Cartesian-grid treatment for intermediate Reynolds number fluid–solid
interaction problems is described. We first identify the inability of existing immersed …

This paper presents a simple, efficient, and high-order accurate sliding-mesh interface
approach to the spectral difference (SD) method. We demonstrate the approach by solving …

The well-established CFD techniques of second-order numerical methods and Reynolds-
Averaged Navier Stokes (RANS) turbulence models are capable of predicting steady …

Nowadays, most commercial CFD software relies exclusively on low-order methods
(methods for which the spatial order of accuracy is at most two) for the simulation of flows …

A spectral dynamic modeling procedure for Large-Eddy simulation is introduced in the
context of discontinuous finite element methods. The proposed sub-grid scale model …