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 …

The flow past a circular cylinder in the transitional regime at Re= 2000 has been thoroughly
investigated via well resolved direct numerical simulation with a spectral element code …

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

Characteristic boundary conditions for the Navier-Stokes equations (NSCBC) are
implemented for the first time with discontinuous spectral methods, namely the spectral …

This paper reports development of a two-dimensional solver for compressible viscous flow
using spectral difference (SD) method and its applications on simulating laminar flow past …

Three-dimensional turbulent flow over a circular cylinder performing sinusoidal rotational
motions around its axis is investigated using Large Eddy Simulation (LES). The simulation is …

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 …

We report computational efficiencies of two types of numerical solvers. The first type uses the
spectral difference (SD) method and the second one uses the correction procedure via …

This paper aims at understanding the numerical dissipation mechanisms related to the
Spectral Difference (SD) method in the context of three-dimensional (3D) turbulence. The …