We revisit the issue of finding proper boundary conditions for the field equations describing
incompressible flow problems, for quantities like pressure or vorticity, which often do not …

Completely revised text focuses on use of spectral methods to solve boundary value,
eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational …

The objective of this book is to provide a comprehensive discussion of Fourier and
Chebyshev spectral methods for the computation of incom pressible viscous flows, based on …

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 …

Accurate solutions to the equations of natural convection in a square 2-D differentially
heated cavity with adiabatic top and bottom walls are given for values of Ra up to 10 8 …

Methods are presented for time evolution, steady-state solving and linear stability analysis
for the incompressible Navier-Stokes equations at low to moderate Reynolds numbers. The …

A primitive-variable formulation for simulation of time-dependent incompressible flows in
cylindrical coordinates is developed. Spectral elements are used to discretise the meridional …

A Fourier–Chebyshev Petrov–Galerkin spectral method is described for high-accuracy
computation of linearized dynamics for flow in an infinite circular pipe. Our code is unusual …

Several exact fast static structural reanalysis techniques, introduced by researchers mostly
for truss structures and some for frames and plate structures, are reviewed. Most utilize the …

An improved projection scheme is proposed and applied to pseudospectral collocation‐
Chebyshev approximation for the incompressible Navier–Stokes equations. It consists of …