An improved method for integrating the Mixed Spectral Finite Difference (MSFD) model equations
- S. R. Karpik
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In their Mixed Spectral Finite Difference (MSFD) model for flow over complex terrain, Beljaars et al. (1987) solve a set of coupled, second-order ordinary differential equations (ODEs) for the first-order perturbations to the logarithmic velocity profile caused by nonuniform surface roughness and topography. To solve this set of ODEs, they employ a Forward Euler Shooting Method. It is demonstrated here that the shooting method is computationally unstable for this problem. An absolutely stable finite-difference method based on a block tridiagonal LU factorization of the finite-difference matrix is presented. The advantages of the present algorithm over the method used by Beljaars et al. are demonstrated both by theoretical argument and numerical experiment.
- Beljaars, A. C. M.: 1985, private communication.
- Beljaars, A. C. M., Walmsley, J. L., Taylor, P. A. (1987) A Mixed Spectral Finite-Difference Model for Neutrally Stratified Boundary-Layer Flow over Roughness Changes and Topography. Boundary-Layer Meteorol. 38: pp. 273-303
- Gear, C. W. (1971) Numerical Initial Value Problems in Ordinary Differential Equations. Prentice-Hall, Englewood Cliffs, N.J.
- Harlow, F. H., Welch, J. E. (1965) Numerical Calculation of Time-Dependent Incompressible Flow of Fluid with Free Surface. Phys. Fluids 9: pp. 842-851
- Hunt, J. C. R., Simpson, J. E. Atmospheric Boundary Layers Over Non-Homogeneous Terrain. In: Plate, E. J. eds. (1982) Engineering Meteorology. Elsevier, Amsterdam
- Marchuk, G. I. (1982) Methods of Numerical Mathematics. Springer-Verlag, New York
- Varah, J. M. (1972) On the Solution of Block-Tridiagonal Systems Arising from Certain Finite-Difference Equations. Math. Comp. 26: pp. 859-868
- An improved method for integrating the Mixed Spectral Finite Difference (MSFD) model equations
Volume 43, Issue 3 , pp 273-286
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- S. R. Karpik (1)
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- 1. Boundary-Layer Research Division, Atmospheric Environment Service, 4905 Dufferin Street, M3H 5T4, Downview, Ontario, Canada