We review numerical methods for direct numerical simulation (DNS) and large-eddy
simulation (LES) of turbulent compressible flow in the presence of shock waves. Ideal …

Computational approaches are being developed to study a range of problems in
aeroacoustics. These aeroacoustic problems may be classified based on the physical …

Explicit numerical methods for spatial derivation, filtering and time integration are proposed.
They are developed with the aim of computing flow and noise with high accuracy and …

The derivation of low-storage, explicit Runge–Kutta (ERK) schemes has been performed in
the context of integrating the compressible Navier–Stokes equations via direct numerical …

Two decades ago when we wrote Spectral Methods in Fluid Dynamics (1988), the subject
was still fairly novel. Motivated by the many favorable comments we have received and the …

Flows in which shock waves and turbulence are present and interact dynamically occur in a
wide range of applications, including inertial confinement fusion, supernovae explosion, and …

The results of a series of large-eddy simulations of heated and unheated jets using
approximately 10 6 grid points are presented. The computations were performed on jets at …

An optimized explicit low-storage fourth-order Runge–Kutta algorithm is proposed in the
present work for time integration. Dispersion and dissipation of the scheme are minimized in …

We present a computational algorithm for fully resolved numerical simulation (FRS) of rigid
and deforming bodies moving in fluids. Given the deformation of the body in its own …

In this paper we solve electromagnetic scattering problems by approximating Maxwell's
equations in the time‐domain with a high‐order quadrilateral discontinuous spectral …