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Changeset 12205 for NEMO/branches/2019/dev_r11943_MERGE_2019/doc/latex/NEMO/subfiles/chap_DIA.tex – NEMO

Ignore:
Timestamp:
2019-12-12T11:52:50+01:00 (4 years ago)
Author:
acc
Message:

2019/dev_r11943_MERGE_2019: Merge in dev_r11879_ENHANCE-05_SimonM-Harmonic_Analysis. SETTE tested

File:
1 edited

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  • NEMO/branches/2019/dev_r11943_MERGE_2019/doc/latex/NEMO/subfiles/chap_DIA.tex

    r11693 r12205  
    15801580 
    15811581%% ================================================================================================= 
    1582 \section[Harmonic analysis of tidal constituents (\texttt{\textbf{key\_diaharm}})]{Harmonic analysis of tidal constituents (\protect\key{diaharm})} 
    1583 \label{sec:DIA_diag_harm} 
    1584  
    1585 \begin{listing} 
    1586   \nlst{nam_diaharm} 
    1587   \caption{\forcode{&nam_diaharm}} 
    1588   \label{lst:nam_diaharm} 
    1589 \end{listing} 
    1590  
    1591 A module is available to compute the amplitude and phase of tidal waves. 
    1592 This on-line Harmonic analysis is actived with \key{diaharm}. 
    1593  
    1594 Some parameters are available in namelist \nam{_diaharm}{\_diaharm}: 
    1595  
    1596  - \np{nit000_han}{nit000\_han} is the first time step used for harmonic analysis 
    1597  
    1598  - \np{nitend_han}{nitend\_han} is the  last time step used for harmonic analysis 
    1599  
    1600  - \np{nstep_han}{nstep\_han}  is the  time step frequency for harmonic analysis 
    1601  
    1602 % - \np{nb_ana}{nb\_ana}     is the number of harmonics to analyse 
    1603  
    1604  - \np{tname}{tname}       is an array with names of tidal constituents to analyse 
    1605  
    1606  \np{nit000_han}{nit000\_han} and \np{nitend_han}{nitend\_han} must be between \np{nit000}{nit000} and \np{nitend}{nitend} of the simulation. 
    1607  The restart capability is not implemented. 
    1608  
    1609  The Harmonic analysis solve the following equation: 
    1610  
    1611  \[ 
    1612    h_{i} - A_{0} + \sum^{nb\_ana}_{j=1}[A_{j}cos(\nu_{j}t_{j}-\phi_{j})] = e_{i} 
    1613  \] 
    1614  
    1615 With $A_{j}$, $\nu_{j}$, $\phi_{j}$, the amplitude, frequency and phase for each wave and $e_{i}$ the error. 
    1616 $h_{i}$ is the sea level for the time $t_{i}$ and $A_{0}$ is the mean sea level. \\ 
    1617 We can rewrite this equation: 
    1618  
    1619 \[ 
    1620   h_{i} - A_{0} + \sum^{nb\_ana}_{j=1}[C_{j}cos(\nu_{j}t_{j})+S_{j}sin(\nu_{j}t_{j})] = e_{i} 
    1621 \] 
    1622  
    1623 with $A_{j}=\sqrt{C^{2}_{j}+S^{2}_{j}}$ and $\phi_{j}=arctan(S_{j}/C_{j})$. 
    1624  
    1625 We obtain in output $C_{j}$ and $S_{j}$ for each tidal wave. 
    1626  
    1627 %% ================================================================================================= 
    16281582\section[Transports across sections (\texttt{\textbf{key\_diadct}})]{Transports across sections (\protect\key{diadct})} 
    16291583\label{sec:DIA_diag_dct} 
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