| 1 |
% |
| 2 |
% Read in CS 510 input fields |
| 3 |
xc1 = zeros(511,511,6); |
| 4 |
yc1 = zeros(511,511,6); |
| 5 |
dxf1 = zeros(511,511,6); |
| 6 |
dyf1 = zeros(511,511,6); |
| 7 |
ra1 = zeros(511,511,6); |
| 8 |
xg1 = zeros(511,511,6); |
| 9 |
yg1 = zeros(511,511,6); |
| 10 |
dxv1 = zeros(511,511,6); |
| 11 |
dyu1 = zeros(511,511,6); |
| 12 |
raz1 = zeros(511,511,6); |
| 13 |
dxc1 = zeros(511,511,6); |
| 14 |
dyc1 = zeros(511,511,6); |
| 15 |
raw1 = zeros(511,511,6); |
| 16 |
ras1 = zeros(511,511,6); |
| 17 |
dxg1 = zeros(511,511,6); |
| 18 |
dyg1 = zeros(511,511,6); |
| 19 |
for iface=1:6 |
| 20 |
fid = fopen(['tile00' num2str(iface) '.mitgrid'],'r','b'); |
| 21 |
xc1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 22 |
yc1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 23 |
dxf1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 24 |
dyf1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 25 |
ra1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 26 |
xg1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 27 |
yg1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 28 |
dxv1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 29 |
dyu1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 30 |
raz1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 31 |
dxc1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 32 |
dyc1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 33 |
raw1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 34 |
ras1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 35 |
dxg1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 36 |
dyg1(:,:,iface) = fread(fid,[511 511],'real*8'); |
| 37 |
end |
| 38 |
% |
| 39 |
% Now output (approx 1 deg) grid |
| 40 |
ratio = 5; |
| 41 |
xc2 = zeros(103,103,6); |
| 42 |
yc2 = zeros(103,103,6); |
| 43 |
dxf2 = zeros(103,103,6); |
| 44 |
dyf2 = zeros(103,103,6); |
| 45 |
ra2 = zeros(103,103,6); |
| 46 |
xg2 = zeros(103,103,6); |
| 47 |
yg2 = zeros(103,103,6); |
| 48 |
dxv2 = zeros(103,103,6); |
| 49 |
dyu2 = zeros(103,103,6); |
| 50 |
raz2 = zeros(103,103,6); |
| 51 |
dxc2 = zeros(103,103,6); |
| 52 |
dyc2 = zeros(103,103,6); |
| 53 |
raw2 = zeros(103,103,6); |
| 54 |
ras2 = zeros(103,103,6); |
| 55 |
dxg2 = zeros(103,103,6); |
| 56 |
anglecos2 = zeros(103,103,6); |
| 57 |
anglesin2 = zeros(103,103,6); |
| 58 |
dyg2 = zeros(103,103,6); |
| 59 |
% Create left, x-center, bottom and y-center indeces into 510 grid |
| 60 |
ileft=[1:5:510]; |
| 61 |
icent=ileft+2; |
| 62 |
jbott=[1:5:510]; |
| 63 |
jcent=jbott+2; |
| 64 |
% First do the interior of each face |
| 65 |
for iface=1:6 |
| 66 |
% lats and lons |
| 67 |
xc2(1:102,1:102,iface)=xc1(icent,jcent,iface); |
| 68 |
yc2(1:102,1:102,iface)=yc1(icent,jcent,iface); |
| 69 |
xg2(1:102,1:102,iface)=xg1(ileft,jbott,iface); |
| 70 |
yg2(1:102,1:102,iface)=yg1(ileft,jbott,iface); |
| 71 |
for ipnt=0:ratio-1 |
| 72 |
dxf2(1:102,1:102,iface)=dxf2(1:102,1:102,iface) + dxf1(ileft+ipnt,jcent,iface); |
| 73 |
dxg2(1:102,1:102,iface)=dxg2(1:102,1:102,iface) + dxg1(ileft+ipnt,jbott,iface); |
| 74 |
dxv2(2:102,1:102,iface)=dxv2(2:102,1:102,iface) + dxv1(icent(1:101)+ipnt+1,jbott(1:102),iface); |
| 75 |
dxc2(2:102,1:102,iface)=dxc2(2:102,1:102,iface) + dxc1(icent(1:101)+ipnt+1,jcent(1:102),iface); |
| 76 |
end |
| 77 |
% dx's and dy's |
| 78 |
for jpnt=0:ratio-1 |
| 79 |
dyf2(1:102,1:102,iface)=dyf2(1:102,1:102,iface) + dyf1(icent,jbott+jpnt,iface); |
| 80 |
dyg2(1:102,1:102,iface)=dyg2(1:102,1:102,iface) + dyg1(ileft,jbott+jpnt,iface); |
| 81 |
dyu2(1:102,2:102,iface)=dyu2(1:102,2:102,iface) + dyu1(ileft(1:102),jcent(1:101)+jpnt+1,iface); |
| 82 |
dyc2(1:102,2:102,iface)=dyc2(1:102,2:102,iface) + dyc1(icent(1:102),jcent(1:101)+jpnt+1,iface); |
| 83 |
end |
| 84 |
% Construct values that we don't know yet - use grid symmetries for edge dx's and dy's |
| 85 |
dxc2(1,1:102,iface)=dxc1(1,jcent(1:102),iface) + 2.*dxc1(2,jcent(1:102),iface) + 2.*dxc1(3,jcent(1:102),iface); |
| 86 |
dxv2(1,1:102,iface)=dxv1(1,jbott(1:102),iface) + 2.*dxv1(2,jbott(1:102),iface) + 2.*dxv1(3,jbott(1:102),iface); |
| 87 |
dyc2(1:102,1,iface)=dyc1(icent(1:102),1,iface) + 2.*dyc1(icent(1:102),2,iface) + 2.*dyc1(icent(1:102),3,iface); |
| 88 |
dyu2(1:102,1,iface)=dyu1(ileft(1:102),1,iface) + 2.*dyu1(ileft(1:102),2,iface) + 2.*dyu1(ileft(1:102),3,iface); |
| 89 |
% Areas |
| 90 |
for ipnt=0:ratio-1 |
| 91 |
for jpnt=0:ratio-1 |
| 92 |
ra2(1:102,1:102,iface)=ra2(1:102,1:102,iface) + ra1(ileft+ipnt,jbott+jpnt,iface); |
| 93 |
ras2(1:102,2:102,iface)=ras2(1:102,2:102,iface) + ras1(ileft(1:102)+ipnt,jcent(1:101)+jpnt+1,iface); |
| 94 |
raw2(2:102,1:102,iface)=raw2(2:102,1:102,iface) + raw1(icent(1:101)+ipnt+1,jbott(1:102)+jpnt,iface); |
| 95 |
raz2(2:102,2:102,iface)=raz2(2:102,2:102,iface) + raz1(icent(1:101)+ipnt+1,jcent(1:101)+jpnt+1,iface); |
| 96 |
end |
| 97 |
end |
| 98 |
% Construct values that we don't know yet - use grid symmetries for edge areas |
| 99 |
for ipnt=0:ratio-1 |
| 100 |
ras2(1:102,1,iface) = ras2(1:102,1,iface) + ... |
| 101 |
ras1(ileft(1:102)+ipnt,1,iface) + 2.*ras1(ileft(1:102)+ipnt,2,iface) + 2.*ras1(ileft(1:102)+ipnt,3,iface); |
| 102 |
end |
| 103 |
for jpnt=0:ratio-1 |
| 104 |
raw2(1,1:102,iface) = raw2(1,1:102,iface) + ... |
| 105 |
raw1(1,jbott(1:102)+jpnt,iface) + 2.*raw1(2,jbott(1:102)+jpnt,iface) + 2.*raw1(3,jbott(1:102)+jpnt,iface); |
| 106 |
end |
| 107 |
% Construct values that we don't know yet - vorticity point area, along face edges than at face corner |
| 108 |
for jpnt=0:ratio-1 |
| 109 |
raz2(1,2:102,iface) = raz2(1,2:102,iface) + ... |
| 110 |
raz1(1,jcent(1:101)+jpnt+1,iface) + 2.*raz1(2,jcent(1:101)+jpnt+1,iface) + 2.*raz1(3,jcent(1:101)+jpnt+1,iface); |
| 111 |
end |
| 112 |
for ipnt=0:ratio-1 |
| 113 |
raz2(2:102,1,iface) = raz2(2:102,1,iface) + ... |
| 114 |
raz1(icent(1:101)+ipnt+1,1,iface) + 2.*raz1(icent(1:101)+1+ipnt,2,iface) + 2.*raz1(icent(1:101)+1+ipnt,3,iface); |
| 115 |
end |
| 116 |
raz2(1,1,iface) = sum(raz1(1:3,1,iface),1) + 2.*sum(raz1(1,2:3,iface),2) + ... |
| 117 |
3.*sum(raz1(2:3,3,iface),1) + sum(raz1(2:3,2,iface),1); |
| 118 |
end |
| 119 |
% Now the exchanges to fill up the extra column and row |
| 120 |
% Exchange for lon and lat's at center and corners - no directions (xc is always xc) |
| 121 |
xc2(1:102,103,[1 3 5])=xc2(1,102:-1:1,[3 5 1]); |
| 122 |
xc2(103,1:102,[1 3 5])=xc2(1,1:102,[2 4 6]); |
| 123 |
xc2(1:102,103,[2 4 6])=xc2(1:102,1,[3 5 1]); |
| 124 |
xc2(103,1:102,[2 4 6])=xc2(102:-1:1,1,[4 6 2]); |
| 125 |
xc2(103,103,[1 2 3 4 5 6])=xc2(1,1,[3 4 5 6 1 2]); |
| 126 |
yc2(1:102,103,[1 3 5])=yc2(1,102:-1:1,[3 5 1]); |
| 127 |
yc2(103,1:102,[1 3 5])=yc2(1,1:102,[2 4 6]); |
| 128 |
yc2(1:102,103,[2 4 6])=yc2(1:102,1,[3 5 1]); |
| 129 |
yc2(103,1:102,[2 4 6])=yc2(102:-1:1,1,[4 6 2]); |
| 130 |
yc2(103,103,[1 2 3 4 5 6])=yc2(1,1,[3 4 5 6 1 2]); |
| 131 |
xg2(1:102,103,[1 3 5])=xg2(1,102:-1:1,[3 5 1]); |
| 132 |
xg2(103,1:102,[1 3 5])=xg2(1,1:102,[2 4 6]); |
| 133 |
xg2(1:102,103,[2 4 6])=xg2(1:102,1,[3 5 1]); |
| 134 |
xg2(103,1:102,[2 4 6])=xg2(102:-1:1,1,[4 6 2]); |
| 135 |
xg2(103,103,[1 2 3 4 5 6])=xg2(1,1,[3 4 5 6 1 2]); |
| 136 |
yg2(1:102,103,[1 3 5])=yg2(1,102:-1:1,[3 5 1]); |
| 137 |
yg2(103,1:102,[1 3 5])=yg2(1,1:102,[2 4 6]); |
| 138 |
yg2(1:102,103,[2 4 6])=yg2(1:102,1,[3 5 1]); |
| 139 |
yg2(103,1:102,[2 4 6])=yg2(102:-1:1,1,[4 6 2]); |
| 140 |
yg2(103,103,[1 2 3 4 5 6])=yg2(1,1,[3 4 5 6 1 2]); |
| 141 |
% Exchange for areas at center - no directions |
| 142 |
ra2(1:102,103,[1 3 5])=ra2(1,102:-1:1,[3 5 1]); |
| 143 |
ra2(103,1:102,[1 3 5])=ra2(1,1:102,[2 4 6]); |
| 144 |
ra2(1:102,103,[2 4 6])=ra2(1:102,1,[3 5 1]); |
| 145 |
ra2(103,1:102,[2 4 6])=ra2(102:-1:1,1,[4 6 2]); |
| 146 |
ra2(103,103,[1 2 3 4 5 6])=ra2(1,1,[3 4 5 6 1 2]); |
| 147 |
% Exchange for areas at south and west edges - no directions |
| 148 |
ras2(1:102,103,[1 3 5])=raw2(1,102:-1:1,[3 5 1]); |
| 149 |
ras2(103,1:102,[1 3 5])=ras2(1,1:102,[2 4 6]); |
| 150 |
ras2(1:102,103,[2 4 6])=ras2(1:102,1,[3 5 1]); |
| 151 |
ras2(103,1:102,[2 4 6])=raw2(102:-1:1,1,[4 6 2]); |
| 152 |
ras2(103,103,[1 2 3 4 5 6])=ras2(1,1,[3 4 5 6 1 2]); |
| 153 |
raw2(1:102,103,[1 3 5])=ras2(1,102:-1:1,[3 5 1]); |
| 154 |
raw2(103,1:102,[1 3 5])=raw2(1,1:102,[2 4 6]); |
| 155 |
raw2(1:102,103,[2 4 6])=raw2(1:102,1,[3 5 1]); |
| 156 |
raw2(103,1:102,[2 4 6])=ras2(102:-1:1,1,[4 6 2]); |
| 157 |
raw2(103,103,[1 2 3 4 5 6])=raw2(1,1,[3 4 5 6 1 2]); |
| 158 |
% Exchange for areas at vorticity points - no directions |
| 159 |
% Special case: define upper edge assuming symmetry in y |
| 160 |
% Done because the edge values are ambiguously defined |
| 161 |
% for quantities defined on a corner |
| 162 |
%%%%raz2(1:102,103,[1 3 5])=raz2(1,102:-1:1,[3 5 1]); |
| 163 |
%%%%raz2(1:102,103,[2 4 6])=raz2(1:102,1,[3 5 1]); |
| 164 |
%%%%raz2(103,1:102,[1 3 5])=raz2(1,1:102,[2 4 6]); |
| 165 |
%%%%raz2(103,1:102,[2 4 6])=raz2(102:-1:1,1,[4 6 2]); |
| 166 |
raz2(1:102,103,:)=raz2(1:102,1,:); |
| 167 |
raz2(103,1:102,:)=raz2(1,1:102,:); |
| 168 |
raz2(103,103,[1 2 3 4 5 6])=raz2(1,1,[3 4 5 6 1 2]); |
| 169 |
% |
| 170 |
% Exchange for dx's and dy's at center - direction but no sign (dx is sometimes from dy) |
| 171 |
dxf2(1:102,103,[1 3 5])=dyf2(1,102:-1:1,[3 5 1]); |
| 172 |
dxf2(103,1:102,[1 3 5])=dxf2(1,1:102,[2 4 6]); |
| 173 |
dxf2(1:102,103,[2 4 6])=dxf2(1:102,1,[3 5 1]); |
| 174 |
dxf2(103,1:102,[2 4 6])=dyf2(102:-1:1,1,[4 6 2]); |
| 175 |
dxf2(103,103,[1 2 3 4 5 6])=dxf2(1,1,[3 4 5 6 1 2]); |
| 176 |
dyf2(1:102,103,[1 3 5])=dxf2(1,102:-1:1,[3 5 1]); |
| 177 |
dyf2(103,1:102,[1 3 5])=dyf2(1,1:102,[2 4 6]); |
| 178 |
dyf2(1:102,103,[2 4 6])=dyf2(1:102,1,[3 5 1]); |
| 179 |
dyf2(103,1:102,[2 4 6])=dxf2(102:-1:1,1,[4 6 2]); |
| 180 |
dyf2(103,103,[1 2 3 4 5 6])=dyf2(1,1,[3 4 5 6 1 2]); |
| 181 |
dxg2(1:102,103,[1 3 5])=dyg2(1,102:-1:1,[3 5 1]); |
| 182 |
dxg2(103,1:102,[1 3 5])=dxg2(1,1:102,[2 4 6]); |
| 183 |
dxg2(1:102,103,[2 4 6])=dxg2(1:102,1,[3 5 1]); |
| 184 |
dxg2(103,1:102,[2 4 6])=dyg2(102:-1:1,1,[4 6 2]); |
| 185 |
dxg2(103,103,[1 2 3 4 5 6])=dxg2(1,1,[3 4 5 6 1 2]); |
| 186 |
dyg2(1:102,103,[1 3 5])=dxg2(1,102:-1:1,[3 5 1]); |
| 187 |
dyg2(103,1:102,[1 3 5])=dyg2(1,1:102,[2 4 6]); |
| 188 |
dyg2(1:102,103,[2 4 6])=dyg2(1:102,1,[3 5 1]); |
| 189 |
dyg2(103,1:102,[2 4 6])=dxg2(102:-1:1,1,[4 6 2]); |
| 190 |
dyg2(103,103,[1 2 3 4 5 6])=dyg2(1,1,[3 4 5 6 1 2]); |
| 191 |
% Exchange for dx's and dy's at edges - direction but no sign (dx is sometimes from dy) |
| 192 |
dxc2(1:102,103,[1 3 5])=dyc2(1,102:-1:1,[3 5 1]); |
| 193 |
dxc2(103,1:102,[1 3 5])=dxc2(1,1:102,[2 4 6]); |
| 194 |
dxc2(1:102,103,[2 4 6])=dxc2(1:102,1,[3 5 1]); |
| 195 |
dxc2(103,1:102,[2 4 6])=dyc2(102:-1:1,1,[4 6 2]); |
| 196 |
dxc2(103,103,[1 2 3 4 5 6])=dxc2(1,1,[3 4 5 6 1 2]); |
| 197 |
dyc2(1:102,103,[1 3 5])=dxc2(1,102:-1:1,[3 5 1]); |
| 198 |
dyc2(103,1:102,[1 3 5])=dyc2(1,1:102,[2 4 6]); |
| 199 |
dyc2(1:102,103,[2 4 6])=dyc2(1:102,1,[3 5 1]); |
| 200 |
dyc2(103,1:102,[2 4 6])=dxc2(102:-1:1,1,[4 6 2]); |
| 201 |
dyc2(103,103,[1 2 3 4 5 6])=dyc2(1,1,[3 4 5 6 1 2]); |
| 202 |
% Special case: define upper edge assuming symmetry in y |
| 203 |
% Done because the edge values are ambiguously defined |
| 204 |
% for quantities defined on a corner |
| 205 |
%%%%dxv2(1:102,103,[1 3 5])=dyu2(1,102:-1:1,[3 5 1]); |
| 206 |
%%%%dxv2(103,1:102,[1 3 5])=dxv2(1,1:102,[2 4 6]); |
| 207 |
%%%%dxv2(1:102,103,[2 4 6])=dxv2(1:102,1,[3 5 1]); |
| 208 |
%%%%dxv2(103,1:102,[2 4 6])=dyu2(102:-1:1,1,[4 6 2]); |
| 209 |
%%%%dyu2(1:102,103,[1 3 5])=dxv2(1,102:-1:1,[3 5 1]); |
| 210 |
%%%%dyu2(103,1:102,[1 3 5])=dyu2(1,1:102,[2 4 6]); |
| 211 |
%%%%dyu2(1:102,103,[2 4 6])=dyu2(1:102,1,[3 5 1]); |
| 212 |
%%%%dyu2(103,1:102,[2 4 6])=dxv2(102:-1:1,1,[4 6 2]); |
| 213 |
dxv2(1:102,103,:)=dxv2(1:102,1,:); |
| 214 |
dxv2(103,1:102,:)=dxv2(1,1:102,:); |
| 215 |
dxv2(103,103,[1 2 3 4 5 6])=dxv2(1,1,[3 4 5 6 1 2]); |
| 216 |
dyu2(1:102,103,:)=dyu2(1:102,1,:); |
| 217 |
dyu2(103,1:102,:)=dyu2(1,1:102,:); |
| 218 |
dyu2(103,103,[1 2 3 4 5 6])=dyu2(1,1,[3 4 5 6 1 2]); |
| 219 |
% |
| 220 |
% All done with grid values - now compute angles |
| 221 |
ygarg1=reshape(permute(yg2(1:102,1:102,:),[1 3 2]),[612 102]); |
| 222 |
racarg2=reshape(permute(ra2(1:102,1:102,:),[1 3 2]),[612 102]); |
| 223 |
dxgarg3=reshape(permute(dxg2(1:102,1:102,:),[1 3 2]),[612 102]); |
| 224 |
dygarg4=reshape(permute(dyg2(1:102,1:102,:),[1 3 2]),[612 102]); |
| 225 |
[AngleCS,AngleSN] = cubeCalcAngle(ygarg1,racarg2,dxgarg3,dygarg4); |
| 226 |
anglecos2(1:102,1:102,:)=permute(reshape(AngleCS,[102 6 102]),[1 3 2]); |
| 227 |
anglesin2(1:102,1:102,:)=permute(reshape(AngleSN,[102 6 102]),[1 3 2]); |
| 228 |
% |
| 229 |
% And now write it all out |
| 230 |
for iface=1:6 |
| 231 |
fid = fopen(['onedegcube.face00' num2str(iface) '.bin'],'w','b'); |
| 232 |
fwrite(fid,xc2(:,:,iface),'real*8'); |
| 233 |
fwrite(fid,yc2(:,:,iface),'real*8'); |
| 234 |
fwrite(fid,dxf2(:,:,iface),'real*8'); |
| 235 |
fwrite(fid,dyf2(:,:,iface),'real*8'); |
| 236 |
fwrite(fid,ra2(:,:,iface),'real*8'); |
| 237 |
fwrite(fid,xg2(:,:,iface),'real*8'); |
| 238 |
fwrite(fid,yg2(:,:,iface),'real*8'); |
| 239 |
fwrite(fid,dxv2(:,:,iface),'real*8'); |
| 240 |
fwrite(fid,dyu2(:,:,iface),'real*8'); |
| 241 |
fwrite(fid,raz2(:,:,iface),'real*8'); |
| 242 |
fwrite(fid,dxc2(:,:,iface),'real*8'); |
| 243 |
fwrite(fid,dyc2(:,:,iface),'real*8'); |
| 244 |
fwrite(fid,raw2(:,:,iface),'real*8'); |
| 245 |
fwrite(fid,ras2(:,:,iface),'real*8'); |
| 246 |
fwrite(fid,dxg2(:,:,iface),'real*8'); |
| 247 |
fwrite(fid,dyg2(:,:,iface),'real*8'); |
| 248 |
fwrite(fid,anglecos2(:,:,iface),'real*8'); |
| 249 |
fwrite(fid,anglesin2(:,:,iface),'real*8'); |
| 250 |
fclose(fid); |
| 251 |
end |
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