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Advanced Research WRF (ARW) Technical Note - MMM - University ...

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Appendix B<br />

List of Symbols<br />

Symbols used in this document are listed in alphabatical order in this appendix.<br />

Symbols Definition<br />

a generic variable<br />

A coefficient (Chapter 4), base-state lapse rate constant (Chapter 5)<br />

B background error covariance matrix<br />

c scalar coefficient<br />

cs speed of sound<br />

Ck a constant used in TKE closure<br />

Cr Courant number<br />

Crmax maximum Courant number<br />

Crtheory Courant number from Table 3.1<br />

Crβ activation Courant number in vertical velocity damping<br />

Cs a constant used in eddy viscosity calculation<br />

D deformation<br />

Dnm<br />

deformation tensor, where n, m = 1, 2 and 3<br />

e cosine component of the Coriolis term (Chapters 2, 3); turbulent kinetic energy<br />

(Chapter 4)<br />

E observation error covariance matrix<br />

f sine component of the Coriolis term<br />

F forcing terms for U, V , W , Θ and Qm<br />

F representivity error covariance matrix<br />

FXcor Coriolis forcing terms for X = U, V , and W<br />

F1,2 coefficients for weighting functions in specified boundary condition<br />

g acceleration due to gravity<br />

Gk regression coefficient<br />

H observation operator<br />

J cost function<br />

Kdh,dv horizontal and vertical eddy viscosity for gravity wave absorbing layer<br />

horizontal and vertical eddy viscosities<br />

Kh,v<br />

77

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