Steven A. Orszag

Renormalization group analysis of turbulence. I. Basic theory

Renormalization group formulation of large-eddy simulations

Numerical Simulation of Viscous Incompressible Flows

Decay of two-dimensional homogeneous turbulence

The decay of two-dimensional, homogeneous, isotropic, incompressible turbulence is investigated both by means of numerical simulation (in spectral as well as in grid-point form)...

Numerical simulation of incompressible flows within simple boundaries: accuracy

Galerkin (spectral) methods for numerical simulation of incompressible flows within simple boundaries are shown to possess many advantages over existing finite-difference method...

On the Resolution Requirements of Finite‐Difference Schemes

Transition to turbulence in plane Poiseuille and plane Couette flow

Direct numerical solutions of the three-dimensional time-dependent Navier-Stokes equations are presented for the evolution of three-dimensional finite-amplitude disturbances of ...

Numerical Simulation of Three-Dimensional Homogeneous Isotropic Turbulence

This Letter reports numerical simulations of three-dimensional homogeneous isotropic turbulence at wind-tunnel Reynolds numbers. The results of the simulations are compared with...

Spectral Calculations of Isotropic Turbulence: Efficient Removal of Aliasing Interactions

An algorithm is given for the rapid calculation of the convolution sums appearing in the Fourier-transformed Navier-Stokes equations. In three space dimensions, the new algorith...

Order and disorder in two- and three-dimensional Bénard convection

The character of transition from laminar to chaotic Rayleigh–Bénard convection in a fluid layer bounded by free-slip walls is studied numerically in two and three space dimensio...

Numerical analysis of spectral methods theory and applications

Spectral Methods Survey of Approximation Theory Review of Convergence Theory Algebraic Stability Spectral Methods Using Fourier Series Applications of Algebraic Stability Analys...