A note on the mixed spectral finite-difference model equations

✍ Scribed by Dapeng Xu; Peter Taylor

• Book ID: 104628851
• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 84 KB
• Volume: 56
• Category: Article
• ISSN: 0006-8314
• DOI: 10.1007/bf00119968

✦ Synopsis

We have recently rederived the equation set for the Beljaars et al. (1987) MSFD model of turbulent boundary-layer flow in complex terrain. Our analysis confirms the correctness of the equations using E -E closure but when the E -E -r closure scheme, introduced in section 5 of Beljaars et al., is used, we find additional terms which should be added to the perturbation E and E equations (Equations ( 16) and ( 17) of Beljaars er al.). These are in addition to the corrections to coefficients in the stress equations already reported by Walmsley and Padro (1990). We have run the model using the Karpik (1988) method, in which the E equation is replaced by an equation for $ = K(Z + z~,)E. The corrected equations, corresponding to Karpik's Equations ( 5) and ( 6), for the Fourier transformed perturbation quantities E, and r,!~ are given below.