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% function create_tide_bc_second(nx, ny, cbdry_used,tide_num, time_nodal) ; |
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% |
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% Input: nx, the size of first dimension of MITgcm domain |
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% ny, the size of second dimension of MITgcm domain |
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% cbdry_used, cell array specify which boundary to add tidal boundary condition, |
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% {'s', 'n', 'w', 'e'}, South, North, West, and East |
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% If there is no ocean points on one boundary, donot specify it. |
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% Otherwise it will generate an error in interpolation. |
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% For this case, use tide_bc_empty to generate a zero amplitude tide BC. |
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% tide_num: tidal components to be included in tidal BC file |
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% time_nodal: time for nodal correction |
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% |
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% Output: Tidal boundary condition files will be generated with names like |
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% OB[N,S,E,W][am,ph].seaice_obcs |
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% |
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% |
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% Note: |
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% |
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% 1) The script will read boundary grid file bdry_grid_[swne].mat generated by create_bc_grid.m |
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% 2) The script will use CAT2008b to generate tidal bc files with names like |
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% OB[NSWE]am.seaice_obcs, for tidal current amplitude (m/s) |
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% OB[NSWE]ph.seaice_obcs, phase in seconds (s) |
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% |
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% 3) The following ten tidal constituents can be included |
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% m2 s2 n2 k2 k1 o1 p1 q1 mf mm |
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% 1 2 3 4 5 6 7 8 9 10 |
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% |
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% 4) The phase generated here inludes the Greenwich Phase of tidal constituent, |
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% nodal correction term, and a time constant in order to use nodal correction formula of CAT2008b |
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% |
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% phase_in_second = ( tidal_period*phase_in_radian/2*pi - mitgcm_timec) |
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% |
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% 5) CAT2008 directory needs to be specified in test_tide_bc.m |
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% as following, addpath /data17/home/xiao/CAT/Tool/TMD2.03 |
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% |
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% XC WANG 25mar2013 |
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% 17dec2012 |
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% |
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|
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function create_tide_bc_second(nx, ny, cbdry_used,tide_num, time_nodal) ; |
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|
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%The path of CATS2008b needed to be specified either here or in test_tide_bc.m |
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%addpath /data17/home/xiao/CAT/Tool/TMD2.03 |
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|
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sec_in_day = 86400 ; |
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c8 = 8; c4 =4 ; |
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|
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%name of tide file of CATS2008b |
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model_file =['Model_CATS2008b_km']; |
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|
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% Dimension of Boundary files |
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% NX, grid points in first dimension of MITgcm |
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% NY, grid points in second dimension of MITgcm |
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% NH, grid points in vertical direction |
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NX =nx; NY =ny; |
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|
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% |
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rad2deg = 180/pi ; |
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deg2rad = pi/180 ; |
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|
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% Set the Boundary to add tides |
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% AngleCS_bc, AngleSN_bc are the Cos and Sin and angle of U axis of MITgcm |
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% from due east |
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%c_bdry3 = {'s', 'n', 'w', 'e'} ; |
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c_bdry3 = cbdry_used ; |
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|
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for ibc = 1:length(c_bdry3) |
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|
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c_bdry=c_bdry3{ibc} ; |
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bdry_file=['bdry_grid_',c_bdry, '.mat']; |
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load(bdry_file, 'lat_bc', 'lon_bc', 'depth_bc', 'AngleCS_bc', 'AngleSN_bc') ; |
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|
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|
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% Make sure it is column vector |
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[nx_t1 ny_t1] = size(lat_bc) ; |
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if(nx_t1 ~= 1) |
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lat_bc = lat_bc'; |
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lon_bc = lon_bc'; |
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depth_bc = depth_bc' ; |
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AngleCS_bc = AngleCS_bc' ; |
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AngleSN_bc = AngleSN_bc' ; |
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end |
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|
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|
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% Characters for Model Tidal BC file |
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cob=upper(c_bdry) ; |
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fld={'am','ph'} ; |
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|
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|
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if any(strcmp(cob, {'N','S'})) |
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OBlength = NX ; |
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else |
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OBlength = NY ; |
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end |
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|
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|
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% Use tide_num to specify what tidal components to include |
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[uamp upha depth_tmd conlist0] = tmd_extract_HC(model_file, lat_bc, lon_bc, 'U', tide_num); |
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[vamp vpha depth_tmd conlist0] = tmd_extract_HC(model_file, lat_bc, lon_bc, 'V', tide_num); |
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|
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% Make sure uamp etc are [length(tide_num), OBlength) ] |
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% When length(tide_num) == 1, the amp is (OBlength, 1), not (1, OBlength) |
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[nxsize nysize] = size(uamp); |
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if( nxsize ~= length(tide_num) ) |
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uamp= uamp' ; |
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vamp= vamp' ; |
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upha= upha' ; |
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vpha= vpha' ; |
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end |
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|
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conlist = conlist0(tide_num, :); |
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|
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|
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% Nodal Correction Using CAT2008b formula |
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% time0 = datenum(1979, 1, 1); |
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time0 = time_nodal ; |
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time1992 = datenum(1992, 1,1) ; |
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[pu pf] = nodal(time0-time1992+48622, conlist); |
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[pu pf] = nodal(time0-time1992+48622, conlist); |
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|
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% Get Ph parameters |
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for k=1:length(tide_num) |
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[ispec(k), amp(k), ph(k), omega(k), alpha(k), cNum] = constit(conlist(k, :)); |
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period(k) = 2*pi/omega(k) ; |
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end |
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|
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% Time constant for nodal correction |
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mitgcm_timec = (time_nodal-time1992)*sec_in_day ; |
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|
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amp_all = zeros(OBlength, length(tide_num)) ; |
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pha_all = zeros(OBlength, length(tide_num)) ; |
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|
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uamp_all = zeros(OBlength, length(tide_num)) ; |
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upha_all = zeros(OBlength, length(tide_num)) ; |
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vamp_all = zeros(OBlength, length(tide_num)) ; |
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vpha_all = zeros(OBlength, length(tide_num)) ; |
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|
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for itide =1:length(tide_num) |
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%for itide =1:1 |
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|
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for itemp = 1:OBlength |
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utide_am0(itemp) = uamp(itide, itemp) ; |
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utide_ph0(itemp) = upha(itide, itemp) ; |
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|
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vtide_am0(itemp) = vamp(itide, itemp) ; |
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vtide_ph0(itemp) = vpha(itide, itemp) ; |
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end |
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|
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% Interpolate to all grid |
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utide_am0 = intp_line_safe(utide_am0, lat_bc) ; |
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utide_ph0 = intp_line_safe(utide_ph0, lat_bc) ; |
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vtide_am0 = intp_line_safe(vtide_am0, lat_bc) ; |
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vtide_ph0 = intp_line_safe(vtide_ph0, lat_bc) ; |
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|
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% Conduct nodal correction based CMT2008b formulae and scripts |
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% |
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% Tidal prediction is |
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% pf*amp*cos[omega(t-time0+time0-time1992) -(pha - ph - pu)] |
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utide_ph0 = utide_ph0*deg2rad-ph(itide)-pu(itide) ; |
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vtide_ph0 = vtide_ph0*deg2rad-ph(itide)-pu(itide) ; |
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utide_am0 = utide_am0*pf(itide) ; |
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vtide_am0 = vtide_am0*pf(itide) ; |
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|
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% Convert to current based on Depth from GCM |
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utide_ph0 = utide_ph0*rad2deg ; |
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vtide_ph0 = vtide_ph0*rad2deg ; |
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|
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|
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% Depth can have zeros |
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utide_am0 = utide_am0 ./ depth_bc ; |
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vtide_am0 = vtide_am0 ./ depth_bc ; |
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%utide_am0(:) = utide_am0(:) ./ depth_bc(:) ; |
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%vtide_am0(:) = vtide_am0(:) ./ depth_bc(:) ; |
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|
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|
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% rotate to a MITgcm coordinate |
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[utide_am1 utide_ph1 vtide_am1 vtide_ph1] = tide_rot(utide_am0,utide_ph0,vtide_am0,vtide_ph0,AngleCS_bc, AngleSN_bc) ; |
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|
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uamp_all(:, itide) = utide_am1(:) ; |
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upha_all(:, itide) = utide_ph1(:) ; |
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vamp_all(:, itide) = vtide_am1(:) ; |
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vpha_all(:, itide) = vtide_ph1(:) ; |
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|
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if any(strcmp(cob, {'N', 'S'})) |
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amp_all(:, itide) = vtide_am1(:) ; |
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pha_all_rad(:, itide) = vtide_ph1(:)*deg2rad ; |
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% pha_all(:, itide) = vtide_ph1(:) ; |
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else |
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amp_all(:, itide) = utide_am1(:) ; |
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pha_all_rad(:, itide) = utide_ph1(:)*deg2rad ; |
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% pha_all(:, itide) = utide_ph1(:) ; |
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end |
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|
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pha_all_sec(:, itide) = period(itide) .* pha_all_rad(:, itide)/(2*pi) - mitgcm_timec ; |
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|
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end % end of itide |
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|
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% Conver Nan to Zero |
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badp = ~isfinite(amp_all) ; |
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amp_all(badp) = 0 ; |
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badp = ~isfinite(pha_all_sec) ; |
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pha_all_sec(badp) = 0 ; |
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|
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|
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%if(1==0) |
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% Write to file |
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cfld = fld{1} ; |
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%fnm=['OB' cob cfld '.seaice_obcs.k1']; |
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fnm=['OB' cob cfld '.seaice_obcs']; |
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writebin(fnm, amp_all) ; |
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|
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|
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cfld = fld{2} ; |
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%fnm=['OB' cob cfld '.seaice_obcs.k1']; |
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fnm=['OB' cob cfld '.seaice_obcs']; |
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writebin(fnm, pha_all_sec) ; |
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%end |
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|
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end |
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|
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|
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% mitgcm_timec = (time_nodal-time1992)*sec_in_day ; |
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|
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return |
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