- Timestamp:
- 2011-10-18T14:38:39+02:00 (13 years ago)
- Location:
- branches/2011/dev_r2787_MERCATOR3_tidalpot/DOC/TexFiles
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branches/2011/dev_r2787_MERCATOR3_tidalpot/DOC/TexFiles/Chapters/Chap_SBC.tex
r2541 r2953 645 645 646 646 % ================================================================ 647 % Tidal Potential 648 % ================================================================ 649 \section [Tidal Potential (\textit{sbctide})] 650 {Tidal Potential (\mdl{sbctide})} 651 \label{SBC_tide} 652 653 A module is available to use the tidal potential forcing and is activated with with \key{tide}. 654 655 656 %------------------------------------------nam_tide---------------------------------------------------- 657 \namdisplay{nam_tide} 658 %------------------------------------------------------------------------------------------------------------- 659 660 Concerning the tidal potential, some parameters are available in namelist: 661 662 - \texttt{ln\_tide\_pot} activate the tidal potential forcing 663 664 - \texttt{nb\_harmo} is the number of constituent used 665 666 - \texttt{clname} is the name of constituent 667 668 669 The tide is generated by the forces of gravity ot the Earth-Moon and Earth-Sun sytem; 670 they are expressed as the gradient of the astronomical potential ($\vec{\nabla}\Pi_{a}$). \\ 671 672 The potential astronomical expressed, for the three types of tidal frequencies 673 following, by : \\ 674 Tide long period : 675 \begin{equation} 676 \Pi_{a}=gA_{k}(\frac{1}{2}-\frac{3}{2}sin^{2}\phi)cos(\omega_{k}t+V_{0k}) 677 \end{equation} 678 diurnal Tide : 679 \begin{equation} 680 \Pi_{a}=gA_{k}(sin 2\phi)cos(\omega_{k}t+\lambda+V_{0k}) 681 \end{equation} 682 Semi-diurnal tide: 683 \begin{equation} 684 \Pi_{a}=gA_{k}(cos^{2}\phi)cos(\omega_{k}t+2\lambda+V_{0k}) 685 \end{equation} 686 687 688 $A_{k}$ is the amplitude of the wave k, $\omega_{k}$ the pulsation of the wave k, $V_{0k}$ the astronomical phase of the wave 689 $k$ to Greenwich. 690 691 We make corrections to the astronomical potential. 692 We obtain : 693 \begin{equation} 694 \Pi-g\delta = (1+k-h) \Pi_{A}(\lambda,\phi) 695 \end{equation} 696 with $k$ a number of Love estimated to 0.6 which parametrized the astronomical tidal land, 697 and $h$ a number of Love to 0.3 which parametrized the parametrization due to the astronomical tidal land. 698 699 % ================================================================ 647 700 % River runoffs 648 701 % ================================================================
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