-
Notifications
You must be signed in to change notification settings - Fork 0
/
waveEVOLUTIONstep.m
235 lines (198 loc) · 11.4 KB
/
waveEVOLUTIONstep.m
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
function [E,ALLE,dPW]=waveEVOLUTIONstep(EEE,E,ALLE,i,nrefrac,alpha,Cbr,Cbed,wavefrictionCollins,gridDIR,p,q,ii,jj,N,M,A,AW,AWup,d,dup,kwave,c,cg,cgup,bedfr,sigma,T,dx,periodic,Holateral,sigmatot,...
ALLangle,ALLfacsprd,ALLspd,dCx,dCy);%
Eo=ALLE(1,:);if nrefrac>=1;Ei=ALLE(2,:);Ej=ALLE(3,:);end;if nrefrac>=2;Ei2=ALLE(4,:);Ej2=ALLE(5,:);end;
if nrefrac>=3;Ei3=ALLE(6,:);Ej3=ALLE(7,:);end;if nrefrac>=4;Ei4=ALLE(8,:);Ej4=ALLE(9,:);end
angle=ALLangle(1);
if nrefrac>=1
anglei=ALLangle(2);
anglej=ALLangle(3);
end
if nrefrac>=2
anglei2=ALLangle(4);
anglej2=ALLangle(5);
end
if nrefrac>=3
anglei3=ALLangle(6);
anglej3=ALLangle(7);
end
if nrefrac>=4
anglei4=ALLangle(8);
anglej4=ALLangle(9);
end
facsprdo=ALLfacsprd(1);
if nrefrac>=1
facsprdi=ALLfacsprd(2);
facsprdj=ALLfacsprd(3);
end
if nrefrac>=2
facsprdi2=ALLfacsprd(4);
facsprdj2=ALLfacsprd(5);
end
if nrefrac>=3
facsprdi3=ALLfacsprd(6);
facsprdj3=ALLfacsprd(7);
end
if nrefrac>=4
facsprdi4=ALLfacsprd(8);
facsprdj4=ALLfacsprd(9);
end
if nrefrac>=1
spdi=ALLspd(1);
spdj=ALLspd(2);
end
if nrefrac>=2
spdi2=ALLspd(3);
spdj2=ALLspd(4);
end
if nrefrac>=3
spdi3=ALLspd(5);
spdj3=ALLspd(6);
end
if nrefrac>=4
spdi4=ALLspd(7);
spdj4=ALLspd(8);
end
%Refraction
%Move from left to right (from i to o and from o to j)
%Move from rigth to left (from j to o and from o to i)
%INVERTED ORDER ON COTOBER 1st 2018
% if nrefrac>=1;
% tempEi=Ei;tempEj=Ej;tempEo=Eo;
% dC=sin((angle+anglei)/2/180*pi)*dCx-cos((angle+anglei)/2/180*pi)*dCy;
% a=find(dC>0);dEio=tempEi(a).*(1-1./(1+dC(a)/(spdi/180*pi)));Ei(a)=Ei(a)-dEio;Eo(a)=Eo(a)+dEio;
% a=find(dC<0);dEoi=tempEo(a).*(1-1./(1-dC(a)/(spdi/180*pi)));Eo(a)=Eo(a)-dEoi;Ei(a)=Ei(a)+dEoi;
% dC=sin((angle+anglej)/2/180*pi)*dCx-cos((angle+anglej)/2/180*pi)*dCy;
% a=find(dC>0);dEoj=tempEo(a).*(1-1./(1+dC(a)/(spdj/180*pi)));Eo(a)=Eo(a)-dEoj;Ej(a)=Ej(a)+dEoj;
% a=find(dC<0);dEjo=tempEj(a).*(1-1./(1-dC(a)/(spdj/180*pi)));Ej(a)=Ej(a)-dEjo;Eo(a)=Eo(a)+dEjo;
% end
% if nrefrac>=2;
% tempEi=Ei;tempEj=Ej;tempEi2=Ei2;tempEj2=Ej2;
% dC=sin((anglei+anglei2)/2/180*pi)*dCx-cos((anglei+anglei2)/2/180*pi)*dCy;
% a=find(dC>0);dEi2i=tempEi2(a).*(1-1./(1+dC(a)/(spdi2/180*pi)));Ei2(a)=Ei2(a)-dEi2i;Ei(a)=Ei(a)+dEi2i;
% a=find(dC<0);dEii2=tempEi(a).*(1-1./(1-dC(a)/(spdi2/180*pi)));Ei(a)=Ei(a)-dEii2;Ei2(a)=Ei2(a)+dEii2;
% dC=sin((anglej+anglej2)/2/180*pi)*dCx-cos((anglej+anglej2)/2/180*pi)*dCy;
% a=find(dC>0);dEjj2=tempEj(a).*(1-1./(1+dC(a)/(spdj2/180*pi)));Ej(a)=Ej(a)-dEjj2;Ej2(a)=Ej2(a)+dEjj2;
% a=find(dC<0);dEj2j=tempEj2(a).*(1-1./(1-dC(a)/(spdj2/180*pi)));Ej2(a)=Ej2(a)-dEj2j;Ej(a)=Ej(a)+dEj2j;
% end
% if nrefrac>=3;
% tempEi2=Ei2;tempEj2=Ej2;tempEi3=Ei3;tempEj3=Ej3;
% dC=sin((anglei2+anglei3)/2/180*pi)*dCx-cos((anglei2+anglei3)/2/180*pi)*dCy;
% a=find(dC>0);dEi3i2=tempEi3(a).*(1-1./(1+dC(a)/(spdi3/180*pi)));Ei3(a)=Ei3(a)-dEi3i2;Ei2(a)=Ei2(a)+dEi3i2;
% a=find(dC<0);dEi2i3=tempEi2(a).*(1-1./(1-dC(a)/(spdi3/180*pi)));Ei2(a)=Ei2(a)-dEi2i3;Ei3(a)=Ei3(a)+dEi2i3;
% dC=sin((anglei2+anglei3)/2/180*pi)*dCx-cos((anglei2+anglei3)/2/180*pi)*dCy;
% a=find(dC>0);dEj2j3=tempEj2(a).*(1-1./(1+dC(a)/(spdj3/180*pi)));Ej2(a)=Ej2(a)-dEj2j3;Ej3(a)=Ej3(a)+dEj2j3;
% a=find(dC<0);dEj3j2=tempEj3(a).*(1-1./(1-dC(a)/(spdj3/180*pi)));Ej3(a)=Ej3(a)-dEj3j2;Ej2(a)=Ej2(a)+dEj3j2;
% end
% if nrefrac>=4;
% tempEi3=Ei3;tempEj3=Ej3;tempEi4=Ei4;tempEj4=Ej4;
% dC=sin((anglei3+anglei4)/2/180*pi)*dCx-cos((anglei3+anglei4)/2/180*pi)*dCy;
% a=find(dC>0);dEi4i3=tempEi4(a).*(1-1./(1+dC(a)/(spdi4/180*pi)));Ei4(a)=Ei4(a)-dEi4i3;Ei3(a)=Ei3(a)+dEi4i3;
% a=find(dC<0);dEi3i4=tempEi3(a).*(1-1./(1-dC(a)/(spdi4/180*pi)));Ei3(a)=Ei3(a)-dEi3i4;Ei4(a)=Ei4(a)+dEi3i4;
% dC=sin((anglei3+anglei4)/2/180*pi)*dCx-cos((anglei3+anglei4)/2/180*pi)*dCy;
% a=find(dC>0);dEj3j4=tempEj3(a).*(1-1./(1+dC(a)/(spdj4/180*pi)));Ej3(a)=Ej3(a)-dEj3j4;Ej4(a)=Ej4(a)+dEj3j4;
% a=find(dC<0);dEj4j3=tempEj4(a).*(1-1./(1-dC(a)/(spdj4/180*pi)));Ej4(a)=Ej4(a)-dEj4j3;Ej3(a)=Ej3(a)+dEj4j3;
% end
%
if nrefrac>=1;
tempEi=Ei;tempEj=Ej;tempEo=Eo;
dC=sin((angle+anglei)/2/180*pi)*dCx-cos((angle+anglei)/2/180*pi)*dCy;
a=find(dC>0);dEio=tempEi(a).*(1-1./(1+dC(a)/(spdi/180*pi)));Ei(a)=Ei(a)-dEio;Eo(a)=Eo(a)+dEio;
a=find(dC<0);dEoi=tempEo(a).*(1-1./(1-dC(a)/(spdi/180*pi)));Eo(a)=Eo(a)-dEoi;Ei(a)=Ei(a)+dEoi;
dC=sin((angle+anglej)/2/180*pi)*dCx-cos((angle+anglej)/2/180*pi)*dCy;
a=find(dC>0);dEoj=tempEo(a).*(1-1./(1+dC(a)/(spdj/180*pi)));Eo(a)=Eo(a)-dEoj;Ej(a)=Ej(a)+dEoj;
a=find(dC<0);dEjo=tempEj(a).*(1-1./(1-dC(a)/(spdj/180*pi)));Ej(a)=Ej(a)-dEjo;Eo(a)=Eo(a)+dEjo;
end
if nrefrac>=2;
tempEi=Ei;tempEj=Ej;tempEi2=Ei2;tempEj2=Ej2;
dC=sin((anglei+anglei2)/2/180*pi)*dCx-cos((anglei+anglei2)/2/180*pi)*dCy;
a=find(dC>0);dEi2i=tempEi2(a).*(1-1./(1+dC(a)/(spdi2/180*pi)));Ei2(a)=Ei2(a)-dEi2i;Ei(a)=Ei(a)+dEi2i;
a=find(dC<0);dEii2=tempEi(a).*(1-1./(1-dC(a)/(spdi2/180*pi)));Ei(a)=Ei(a)-dEii2;Ei2(a)=Ei2(a)+dEii2;
dC=sin((anglej+anglej2)/2/180*pi)*dCx-cos((anglej+anglej2)/2/180*pi)*dCy;
a=find(dC>0);dEjj2=tempEj(a).*(1-1./(1+dC(a)/(spdj2/180*pi)));Ej(a)=Ej(a)-dEjj2;Ej2(a)=Ej2(a)+dEjj2;
a=find(dC<0);dEj2j=tempEj2(a).*(1-1./(1-dC(a)/(spdj2/180*pi)));Ej2(a)=Ej2(a)-dEj2j;Ej(a)=Ej(a)+dEj2j;
end
if nrefrac>=3;
tempEi2=Ei2;tempEj2=Ej2;tempEi3=Ei3;tempEj3=Ej3;
dC=sin((anglei2+anglei3)/2/180*pi)*dCx-cos((anglei2+anglei3)/2/180*pi)*dCy;
a=find(dC>0);dEi3i2=tempEi3(a).*(1-1./(1+dC(a)/(spdi3/180*pi)));Ei3(a)=Ei3(a)-dEi3i2;Ei2(a)=Ei2(a)+dEi3i2;
a=find(dC<0);dEi2i3=tempEi2(a).*(1-1./(1-dC(a)/(spdi3/180*pi)));Ei2(a)=Ei2(a)-dEi2i3;Ei3(a)=Ei3(a)+dEi2i3;
dC=sin((anglei2+anglei3)/2/180*pi)*dCx-cos((anglei2+anglei3)/2/180*pi)*dCy;
a=find(dC>0);dEj2j3=tempEj2(a).*(1-1./(1+dC(a)/(spdj3/180*pi)));Ej2(a)=Ej2(a)-dEj2j3;Ej3(a)=Ej3(a)+dEj2j3;
a=find(dC<0);dEj3j2=tempEj3(a).*(1-1./(1-dC(a)/(spdj3/180*pi)));Ej3(a)=Ej3(a)-dEj3j2;Ej2(a)=Ej2(a)+dEj3j2;
end
if nrefrac>=4;
tempEi3=Ei3;tempEj3=Ej3;tempEi4=Ei4;tempEj4=Ej4;
dC=sin((anglei3+anglei4)/2/180*pi)*dCx-cos((anglei3+anglei4)/2/180*pi)*dCy;
a=find(dC>0);dEi4i3=tempEi4(a).*(1-1./(1+dC(a)/(spdi4/180*pi)));Ei4(a)=Ei4(a)-dEi4i3;Ei3(a)=Ei3(a)+dEi4i3;
a=find(dC<0);dEi3i4=tempEi3(a).*(1-1./(1-dC(a)/(spdi4/180*pi)));Ei3(a)=Ei3(a)-dEi3i4;Ei4(a)=Ei4(a)+dEi3i4;
dC=sin((anglei3+anglei4)/2/180*pi)*dCx-cos((anglei3+anglei4)/2/180*pi)*dCy;
a=find(dC>0);dEj3j4=tempEj3(a).*(1-1./(1+dC(a)/(spdj4/180*pi)));Ej3(a)=Ej3(a)-dEj3j4;Ej4(a)=Ej4(a)+dEj3j4;
a=find(dC<0);dEj4j3=tempEj4(a).*(1-1./(1-dC(a)/(spdj4/180*pi)));Ej4(a)=Ej4(a)-dEj4j3;Ej3(a)=Ej3(a)+dEj4j3;
end
%%%SEGE MRD FATTOEE @ FRICTION OR NOT????
%THIS IS THE GOOD ONE< FOR DELAWAREWE
%bedfr=bedfr./Cbed.*(0.015*9.81.*(pi*(4*sqrt(E)/sqrt(2))./(T.*sinh(kwave.*max(d,0.1))))); %the sqrt(2) is to get Urms, not Upeak
if wavefrictionCollins==1
bedfr=bedfr.*(1*0.015*9.81.*(pi*(4*sqrt(E)/sqrt(2))./(T.*sinh(kwave.*max(d,0.1))))); %the sqrt(2) is to get Urms, not Upeak
else
bedfr=bedfr*Cbed;
end
%The factor 2 in front of 0.015.. Smbra che serva per Delaware, ma non
%per VCR...??? (March 11th 2019)
%bedfrCORR=1./Cbed.*(1*0.015*9.81.*max(0,(pi*(4*sqrt(E/Ejonswap)/sqrt(2))./T./sinh(kwave.*d)))); %the sqrt(2) is to get Urms, not Upeak
%bedfr=bedfr./Cbed.*(1*0.015*9.81.*max(0,(pi*(4*sqrt(E)/sqrt(2))./min(10000,T.*sinh(kwave)))))*0; %the sqrt(2) is to get Urms, not Upeak
%for the first two, cite Cavaleri, L., Malanotte-Rizzoli, P., 1981. Wind wave predictionin shallow water: theory and application. J
%Energy balance of wind waves as a function of thebottom friction formulationR. Padilla-Hernandez) ´ , J. Monbaliu
%anglei=angle;anglej=angle;
%anglei2=angle;anglej2=angle;
%anglei3=angle;anglej3=angle;
%anglei4=angle;anglej4=angle;
%Propagate each energy according to its direction
[Eo,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Eo,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,angle,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdo),sigmatot);
dPW=dPWs;
if nrefrac>=1;
[Ei,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ei,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglei,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdi),sigmatot);
dPW=dPW+dPWs;
[Ej,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ej,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglej,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdj),sigmatot);
dPW=dPW+dPWs;
end
if nrefrac>=2;
[Ei2,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ei2,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglei2,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdi2),sigmatot);
dPW=dPW+dPWs;
[Ej2,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ej2,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglej2,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdj2),sigmatot);
dPW=dPW+dPWs;
end
if nrefrac>=3;
[Ei3,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ei3,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglei3,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdi3),sigmatot);
dPW=dPW+dPWs;
[Ej3,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ej3,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglej3,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdj3),sigmatot);
dPW=dPW+dPWs;
end
if nrefrac>=4;
[Ei4,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ei4,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglei4,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdi4),sigmatot);
dPW=dPW+dPWs;
[Ej4,dPWs]=wavepropagationONLYstepTEMPi(gridDIR,Ej4,E,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,anglej4,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral*sqrt(facsprdj4),sigmatot);
dPW=dPW+dPWs;
end
%Sum all the energies
% E=Eo;
% if nrefrac>=1; E=E+Ei+Ej; end
% if nrefrac>=2; E=E+Ei2+Ej2; end
% if nrefrac>=3; E=E+Ei3+Ej3; end
% if nrefrac>=4; E=E+Ei4+Ej4; end
if nrefrac==0; E=Eo; end
if nrefrac==1; E=Eo+Ei+Ej; end
if nrefrac==2; E=Eo+Ei+Ej+Ei2+Ej2; end
if nrefrac==3; E=Eo+Ei+Ej+Ei2+Ej2+Ei3+Ej3; end
if nrefrac==4; E=Eo+Ei+Ej+Ei2+Ej2+Ei3+Ej3+Ei4+Ej4; end
if nrefrac==0
ALLE=Eo;
elseif nrefrac==1
ALLE=[Eo;Ei;Ej];
elseif nrefrac==2
ALLE=[Eo;Ei;Ej;Ei2;Ej2];
elseif nrefrac==3
ALLE=[Eo;Ei;Ej;Ei2;Ej2;Ei3;Ej3];
elseif nrefrac==4
ALLE=[Eo;Ei;Ej;Ei2;Ej2;Ei3;Ej3;Ei4;Ej4];
end