A Semi-implicit spectral method for the anelastic equations
β Scribed by Scott R. Fulton
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 579 KB
- Volume
- 106
- Category
- Article
- ISSN
- 0021-9991
No coin nor oath required. For personal study only.
β¦ Synopsis
This paper describes the efficient and accurate solution of the twodimensional anelastic equations by a Fourier-Chebyshev spectral method. A fourth-order Runge-Kutta method is used for th6 time integration, with the diffusion terms treated implicitly and all other terms (including the pressure gradient) treated explicitly. The model is free from aliasing and converges quickly once the solution is resolved. Numerical results are given for nonlinear flow generated by an atmospheric density current.
π SIMILAR VOLUMES
An efficient and accurate numerical method is implemented for solving the time-dependent Ginzburg-Landau equation and the Cahn-Hilliard equation. The time variable is discretized by using semi-implicit schemes which allow much larger time step sizes than explicit schemes; the space variables are dis
We propose a finite-difference algorithm for solving the time-dependent Ginzburg-Landau (TDGL) equation coupled to the appropriate Maxwell equation. The time derivatives are discretized using a second-order semi-implicit scheme which, for intermediate values of the Ginzburg-Landau parameter , allows
## Abstract The formulaton of a multiβlayer primitive equation model on the sphere is described. The horizontal representation is by means of spherical harmonics, truncated either in the triangular or rhomboidal manner. The time integration is performed using the semiβimplicit method in which the l