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wavepropagationONLYstepTEMPi.m
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wavepropagationONLYstepTEMPi.m
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function [E,dPW]=wavepropagationONLYstepTEMPi(gridDIR,E,Etot,EEE,i,cg,cgup,d,dup,bedfr,sigma,T,dx,angle,Cbr,Cbed,alpha,N,M,A,AW,AWup,p,ii,jj,periodic,Holateral,sigmatot)
PWup=E.*cgup;
%Shear the inputs
angledir=-sign(angle*gridDIR)*gridDIR;
tgangle=tan(abs(angle)/180*pi);
% s=floor(tgangle*(i+1));
% E=circshift(E,[0 s*angledir]);
% Etot=circshift(Etot,[0 s*angledir]);
% EEE=circshift(EEE,[0 s*angledir]);
% cgup=circshift(cgup,[0 s*angledir]);
% AWup=circshift(AWup,[0 s*angledir]);
% dup=circshift(dup,[0 s*angledir]);
%
% s=floor(tgangle*(i));
% sigma=circshift(sigma,[0 s*angledir]);
% sigmatot=circshift(sigmatot,[0 s*angledir]);
% d=circshift(d,[0 s*angledir]);
% bedfr=circshift(bedfr,[0 s*angledir]);
% cg=circshift(cg,[0 s*angledir]);
% AW=circshift(AW,[0 s*angledir]);
%the cell before the step (upwind). the sign +1 is becuase we around
%counting i from N to -1 to 1 !!!. Thefore i+1 is more seaward than i!!!
s=floor(tgangle*(i+1));
E=circshift(E,[0 s*angledir]);
Etot=circshift(Etot,[0 s*angledir]);
EEE=circshift(EEE,[0 s*angledir]);
cgup=circshift(cgup,[0 s*angledir]);
AWup=circshift(AWup,[0 s*angledir]);
dup=circshift(dup,[0 s*angledir]);d=dup;
%the cell at the step
s=floor(tgangle*(i));
cg=circshift(cg,[0 s*angledir]);
AW=circshift(AW,[0 s*angledir]);
%d=circshift(d,[0 s*angledir]);
bedfr=circshift(bedfr,[0 s*angledir]);
sigma=circshift(sigma,[0 s*angledir]);
sigmatot=circshift(sigmatot,[0 s*angledir]);
AW=repadAWsingle(AW,AWup,angle,N,M,i);
% angledir=-sign(angle*gridDIR)*gridDIR;
% tgangle=tan(abs(angle*gridDIR)/180*pi);
%
% s=floor(tgangle*(i));
% AWup=circshift(AWup,[0 s*angledir]);
%
% s=floor(tgangle*(i+1));
% E=circshift(E,[0 s*angledir]);
% Etot=circshift(Etot,[0 s*angledir]);
% EEE=circshift(EEE,[0 s*angledir]);
% sigma=circshift(sigma,[0 s*angledir]);
% sigmatot=circshift(sigmatot,[0 s*angledir]);
% cg=circshift(cg,[0 s*angledir]);
% cgup=circshift(cgup,[0 s*angledir]);
% AW=circshift(AW,[0 s*angledir]);
% d=circshift(d,[0 s*angledir]);
% bedfr=circshift(bedfr,[0 s*angledir]);
%
%
% AW=repadAWsingle(AW,AWup,angle,N,M,i);
%when you stretch the coordinates, you also stretch the dx!!!
stretchdx=1/cos(angle/180*pi);
%Dissipation by breaking
Hcr=max(0.01,Cbr*d(p));
brk=0*E;
val=min(1,(8*EEE./Hcr.^2));%EEE e' il totale, abdrebbe usato in teoria
Qbrk=((val(val>0.1 & E>0.00001)-0.1)/0.9).^2;
brk(val>0.1 & E>0.00001)=0.25/T*Qbrk.*(Hcr(val>0.1 & E>0.00001)).^2./E(val>0.1 & E>0.00001);%brk(E<0.01)=0;
%Qbrk=((val(val>0.01 & E>0.01)-0.01)/0.99).^2;
%brk(val>0.01 & E>0.01)=0.25/T*Qbrk.*(Hcr(val>0.01 & E>0.01)).^2 ./E(val>0.01 & E>0.01);%brk(E<0.01)=0;
%Qbrk=((val(val>0.1 & E>0.01)-0.1)/0.9).^2;
%brk(val>0.1 & E>0.01)=0.25/T*Qbrk.*(Hcr(val>0.1 & E>0.01)).^2./E(val>0.1 & E>0.01);%brk(E<0.01)=0;
%brk=brk*0;
%brk=0.25/Tp_swell*Qbrk.*Hcr.^2./Etot;brk(E<0.001)=0;
%Whitecapping
%whitecap=3.33*10^-5*sigma.*(E*sigma^4/9.81^2/0.00457).^2.*max(0,kwave./max(1,kwavetot));
%whitecap=2.36*10^-5*(2*pi/Tp_swell).*(E/Ejonswap.*kwavetot.^2/0.00457).^2.*max(0,max(1,kwave)./max(1,kwavetot));
%whitecap=3.33*10^-5*sigmatot.*(Etot/Ejonswap*sigmatot^4/9.81^2/0.00457).^2.*(sigma/sigmatot).^2;%BEST
%whitecap=3.33*10^-5*sigmatot.*(EEE.*sigmatot.^4/9.81^2/0.00457).^2.*(sigma./sigmatot).^2;%
whitecap=3.33*10^-5*sigmatot.^7.*(EEE/9.81^2/0.00457.*sigma).^2;%
%Bed friction
bedfr=bedfr(p);
%Cbed*(sigma./(9.81*sinh(kwave(p).*d(p)))).^2;bedfr(d(p)<=0.1)=1;
%bedfr=Cbed*(sigma./(9.81*sinh(kwave(i+1,p).*d(i+1,p)))).^2;bedfr(d(i+1,p)<=0.1)=1;
%Shoaling, bed friction, and breaking
E=E./((cg(p)+dx*stretchdx*(bedfr+whitecap+brk))./cgup(p));
%Set the lateral bouundaries if not periodics. Two options:
%no-gradient (+-1) or zero wave heigth (+-2)
if periodic==0 %DO IT ONLY IF IT IS NOT PERIODIC!!!!!!
if angle>0%angle<0
a=find(AW(:)==-1); %find the incomign boundary
if a>0;
b=find(AW(1+mod(-1+a-1,M))==0);
E(a)=E(a(b));
end
a=find(AW(:)==-2); %find the incomign boundary
if a>0;
b=find(AW(1+mod(-1+a-1,M))==0); %the first free cel;
E(a)=E(a(b))*0+Holateral^2/16;
end
elseif angle<0%angle>0
a=find(AW(:)==1); %find the incomign boundary
if a>0;
b=find(AW(1+mod(-1+a+1,M))==0);
E(a)=E(a(b));
end
a=find(AW(:)==2); %find the incomign boundary
if a>0;
b=find(AW(1+mod(-1+a+1,M))==0);
E(a)=E(a(b))*0+Holateral^2/16;
end
end
end
PW=E.*cg;
dPW=(PWup-PW)/(dx*stretchdx);
s=floor(tgangle*i);
%s=floor(tgangle*(i+1));
E=circshift(E,[0 -s*angledir]);
dPW=circshift(dPW,[0 -s*angledir]);