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

The flux reconstruction approach to high-order methods is robust, efficient, simple to
implement, and allows various high-order schemes, such as the nodal discontinuous …

This paper investigates the use of various data assimilation (DA) approaches for the
reconstruction of the unsteady flow past a cylinder in the presence of incident coherent …

While second order methods for computational simulations of fluid flow provide the basis of
widely used commercial software, there is a need for higher order methods for more …

This paper describes the implementation of a numerical solver that is capable of simulating
compressible flows of nonideal single‐phase fluids. The proposed method can be applied to …

The flow over a pair of counter-rotating cylinders is investigated numerically and
experimentally. It is demonstrated that it is possible to suppress unsteady vortex shedding …

This paper presents the development of a 2D solver for inviscid and viscous compressible
flows using the spectral difference (SD) method for unstructured grids with mixed elements …

This paper presents simulations of unsteady flow past plunging and pitching airfoils using a
high-order spectral difference (SD) method. Both third-order and fourth-order SD methods …

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 …

In this work, we consider a high-order discretization of compressible viscous flows allowing
parallelization both in space and time. The discontinuous Galerkin spectral element method …