Now showing items 1-10 of 27
Population distributions in the vibrational deactivation of benzene and benzene-d6. First and second moments derived from two-color infrared fluorescence measurements
(Elsevier, 1993-09-01)
Time-resolved two-color infrared fluorescence (IRF) from highly vibrationally excited benzene and benzene-d6 has been used to determine means and variances of the excited molecule population distributions over the majority ...
An Adaptively Refined Cartesian Mesh Solver for the Euler Equations
(Elsevier, 1993-01)
A method for adaptive refinement of a Cartesian mesh for the solution of the steady Euler equations is presented. The algorithm creates an initial uniform mesh and cuts the body out of that mesh. The mesh is then refined ...
A fast algorithm for Chebyshev, Fourier, and sinc interpolation onto an irregular grid
(Elsevier, 1992-12)
A Chebyshev or Fourier series may be evaluated on the standard collocation grid by the fast Fourier transform (FFT). Unfortunately, the FFT does not apply when one needs to sum a spectral series at N points which are spaced ...
Composite bound states of wide and narrow envelope solitons in the coupled Schrödinger equations through matched asymptotic expansions
(IOP Publishing Ltd, 1999-11-01)
Coupled nonlinear Schrödinger equations, linked by cross modulation terms, arise in both nonlinear optics and in Rossby waves in the atmosphere and ocean. Numerically, Akhmediev and Ankiewicz and Haelterman and Sheppard ...
Three dimensional adaptive mesh refinement on a spherical shell for atmospheric models with lagrangian coordinates
(IOP Publishing Ltd, 2007-07-01)
One of the most important advances needed in global climate models is the development of atmospheric General Circulation Models (GCMs) that can reliably treat convection. Such GCMs require high resolution in local convectively ...
Spectral method solution of the Stokes equations on nonstaggered grids
(Elsevier, 1991-05)
The Stokes equations are solved using spectral methods with staggered and nonstaggered grids. Numerous ways to avoid the problem of spurious pressure modes are presented, including new techniques using the pseudospectral ...
Multipole expansions and pseudospectral cardinal functions: A new generalization of the fast fourier transform
(Elsevier, 1992-11)
The polynomial or trigonometric interpolant of an arbitrary function f(x) may be represented as a "cardinal function" series whose coefficients are the values of f(x) at the interpolation points. We show that the cardinal ...
Stability of fluid in a rectangular enclosure by spectral method
(Elsevier, 1989-03)
The hydrodynamic stability of Rayleigh convection in a rectangular cavity is studied numerically. The calculation assumes that the Boussinesq fluid motion is two-dimensional. The characteristic value equations are solved ...
Weakly non-local solitons for capillary-gravity waves: Fifth-degree Korteweg-de Vries equation
(Elsevier, 1991-02)
Hunter and Scheurle have shown that capillary-gravity water waves in the vicinity of Bond number (Bo)[approximate]1/3 are consistently modelled by the Korteweg-de Vries equation with the addition of a fifth derivative term. ...
Solitons from sine waves: Analytical and numerical methods for non-integrable solitary and cnoidal waves
(Elsevier, 1986-09)
The "FKDV" equation, ut+uux-uxxxxx=0, is used as a testbed for a variety of analytical and numerical methods that can be applied to solitary waves and cnoidal waves of "non-integrable" differential equations, that is to ...