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Generalized Asymmetric Holland Model: Difference between revisions
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The Generalized Asymmetric Holland Model | The Generalized Asymmetric Holland Model | ||
# markdown file for GAHM on ADCIRCWIKI | |||
GAHM Introduction | |||
Content | |||
== The Classic Holland Model == | |||
== Derivation of the GAHM == | |||
== Azimuthally-Varying RMW == | |||
== A Linearly-weighted Composite Wind Method == | |||
== Case Studies == | |||
=== Single-Isotach Approach === | |||
=== Multiple-Isotach Approach === | |||
The gradient wind Equation describes a steady flow balanced by the horizontal pressure gradient force, the centripetal acceleration, and the Coriolis acceleration: | |||
<math> \frac{\nu^2}{r} + f\nu - \frac{1}{\rho_0}\dfrac{\partial p}{\partial r} = 0 \quad</math> (1) | |||
<math> P(r) = P_c + (P_n - P_c)e^{-A/r^B} \quad </math> (2) | |||
<math> V_g(r) = \sqrt{AB(P_n - P_c)e^{-A/r^B}/\rho r^B + (\frac{rf}{2})^2} - \frac{rf}{2} \quad </math> (3) | |||
<math> V_c(r) = \sqrt{AB(P_n - P_c)e^{-A/r^B}/\rho r^B} \quad </math> (4) | |||
<math> A = (R_{max})^B \quad </math> | |||
<math> B = (V_{max})^2\rho e/(P_n - P_c) \quad </math> | |||
<math> P(r) = P_c + (P_n - P_c)e^{-(R_{max}/r)^B} \quad </math> | |||
<math> V_g(r) = \sqrt{(V_{max})^2e^{1-(R_{max}/r)^B}(R_{max}/r)^B + (\frac{rf}{2})^2} - \frac{rf}{2} \quad </math> | |||
<math> R_0 = frac{V_{max}}{R_{max}f} \quad </math> | |||
<math> B_g = (V_{max}^2 + V_{max}R{max}f)\rho e^\psi/\psi(P_n - P_c) = B \frac{(1+1/R_0)e^{\psi - 1}}{\psi} \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> \quad </math> | |||
<math> </math> | |||
The Holland Model (1980) is an analytic model that depicts the radial wind and pressure profiles of a hurricane. Starts | |||
<math> </math> | |||
<math> \cos a </math> |
Revision as of 16:01, 27 March 2020
The Generalized Asymmetric Holland Model
- markdown file for GAHM on ADCIRCWIKI
GAHM Introduction Content
The Classic Holland Model
Derivation of the GAHM
Azimuthally-Varying RMW
A Linearly-weighted Composite Wind Method
Case Studies
Single-Isotach Approach
Multiple-Isotach Approach
The gradient wind Equation describes a steady flow balanced by the horizontal pressure gradient force, the centripetal acceleration, and the Coriolis acceleration:
(1)
(2)
(3)
(4)
The Holland Model (1980) is an analytic model that depicts the radial wind and pressure profiles of a hurricane. Starts