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omega3d_2th_order.m
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function [omegax,omegay,omegaz]= omega3d_2th_order(u,v,w,x,y,z)
global add nmr num div beta alpha nmr0 fle form gau hx hy hz;
omegax = zeros(x,y,z);
omegay = zeros(x,y,z);
omegaz = zeros(x,y,z);
for m=1:z
for i=1:x %_____________________________!!!!!2,-1 omega= zeros()____1 bok, est' eshe 1
for j=1:y
% omega x
if (j>1 & j<y) && (m>1 & m<z)
omegax(i,j,m) = (w(i,j+1,m) - w(i,j-1,m))/(2*hy) -...
(v(i,j,m+1) - v(i,j,m-1))/(2*hz);
end
if (j==1) && (m>1 & m<z)
omegax(i,j,m)=(-w(i,j+2,m)+4*w(i,j+1,m)-3*w(i,j,m))/(2*hy)-(v(i,j,m+1)-v(i,j,m-1))/(2*hz);
end
if (j==y) && (m>1 & m<z)
omegax(i,j,m)=(w(i,j-2,m)-4*w(i,j-1,m)+3*w(i,j,m))/(2*hy)-(v(i,j,m+1)-v(i,j,m-1))/(2*hz);
end
if (j>1 & j<y) && (m==1)
omegax(i,j,m)=(w(i,j+1,m)-w(i,j-1,m))/(2*hy)-(-v(i,j,m+2)+4*v(i,j,m+1)-3*v(i,j,m))/(2*hz);
end
if (j>1 & j<y) && (m==z)
omegax(i,j,m)=(w(i,j+1,m)-w(i,j-1,m))/(2*hy)-(v(i,j,m-2)-4*v(i,j,m-1)+3*v(i,j,m))/(2*hz);
end
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
% omega y
if (i>1 & i<y) && (m>1 & m<z)
omegay(i,j,m) = (u(i,j,m+1) - u(i,j,m-1))/(2*hz) -...
(w(i+1,j,m) - w(i-1,j,m))/(2*hx);
end
if(i>1 & i<x) && (m==1)
omegay(i,j,m)=(-u(i,j,m+2)+4*u(i,j,m+1)-3*u(i,j,m))/(2*hz)-(w(i+1,j,m)-w(i-1,j,m))/(2*hx);
end
if(i>1 & i<x) && (m==z)
omegay(i,j,m)=(u(i,j,m-2)-4*u(i,j,m-1)+3*u(i,j,m))/(2*hz)-(w(i+1,j,m)-w(i-1,j,m))/(2*hx);
end
if(i==1) && (m>1 & m<z)
omegay(i,j,m)=(u(i,j,m+1)-u(i,j,m-1))/(2*hz)-(-w(i+2,j,m)+4*w(i+1,j,m)-3*w(i,j,m))/(2*hx);
end
if(i==x) && (m>1 & m<z)
omegay(i,j,m)=(u(i,j,m+1)-u(i,j,m-1))/(2*hz)-(w(i-2,j,m)-4*w(i-1,j,m)+3*w(i,j,m))/(2*hx);
end
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
if (i>1 & i<y) && (j>1 & j<y)
omegaz(i,j,m) = (v(i+1,j,m) - v(i-1,j,m))/(2*hx) -...
(u(i,j+1,m) - u(i,j-1,m))/(2*hy);
end
if(i==1) & (j>1 & j<y)
omegaz(i,j,m)= (((-v(i+2,j,m)+4*v(i+1,j,m)-3*v(i,j,m))/(2*hx)-(u(i,j+1,m)-u(i,j-1,m))/(2*hy)));
end
if(i==x) && (j>1 & j<y)
omegaz(i,j,m)=(((3*v(i,j,m)-4*v(i-1,j,m)+v(i-2,j,m))/(2*hx)-(u(i,j+1,m)-u(i,j-1,m))/(2*hy)));
end
if(i>1 & i<x) && (j==1)
omegaz(i,j,m)=(((v(i+1,j,m)-v(i-1,j,m))/(2*hx)-(-u(i,j+2,m)+4*u(i,j+1,m)-3*u(i,j,m))/(2*hy)));
end
if(i>1 & i<x) && (j==y)
omegaz(i,j,m)=(((v(i+1,j,m)-v(i-1,j,m))/(2*hx)-(3*u(i,j,m)-4*u(i,j-1,m)+u(i,j-2,m))/(2*hy)));
end
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
%--------------------------------------------------------------------------
%_____________________________%%%%%%%%%%%%%%%%%%%%%%%%%%%%% Korners
% omegaz
if i==1 & j==1
omegaz(i,j,m)= (-v(i+2,j,m)+4*v(i+1,j,m)-3*v(i,j,m))/(2*hx)-(-u(i,j+2,m)+4*u(i,j+1,m)-3*u(i,j,m))/(2*hy);
end
if i==1 & j==y
omegaz(i,j,m)= (-v(i+2,j,m)+4*v(i+1,j,m)-3*v(i,j,m))/(2*hx)-(u(i,j-2,m)-4*u(i,j-1,m)+3*u(i,j,m))/(2*hy);
end
if i==x && j==1
omegaz(i,j,m)=(v(i-2,j,m)-4*v(i-1,j,m)+3*v(i,j,m))/(2*hx)-(-u(i,j+2,m)+4*u(i,j+1,m)-3*u(i,j,m))/(2*hy);
end
if i==x && j==y
omegaz(i,j,m)=(v(i-2,j,m)-4*v(i-1,j,m)+3*v(i,j,m))/(2*hx)-(u(i,j-2,m)-4*u(i,j-1,m)+3*u(i,j,m))/(2*hy);
end
% omega y
if i==1 & m==1
omegay(i,j,m)=(-u(i,j,m+2)+4*u(i,j,m+1)-3*u(i,j,m))/(2*hz)-(-w(i+2,j,m)+4*w(i+1,j,m)-3*w(i,j,m))/(2*hx);
end
if i==x & m==1
omegay(i,j,m)=(-u(i,j,m+2)+4*u(i,j,m+1)-3*u(i,j,m))/(2*hz)-(w(i-2,j,m)-4*w(i-1,j,m)+3*w(i,j,m))/(2*hx);
end
if i==1 & m==z
omegay(i,j,m)=(u(i,j,m-2)-4*u(i,j,m-1)+3*u(i,j,m))/(2*hz)-(-w(i+2,j,m)+4*w(i+1,j,m)-3*w(i,j,m))/(2*hx);
end
if i==x && m==z
omegay(i,j,m)=(u(i,j,m-2)-4*u(i,j,m-1)+3*u(i,j,m))/(2*hz)-(w(i-2,j,m)-4*w(i-1,j,m)+3*w(i,j,m))/(2*hx);
end
% omega x
if j==1 & m==1
omegax(i,j,m)=(-w(i,j+2,m)+4*w(i,j+1,m)-3*w(i,j,m))/(2*hy)-(-v(i,j,m+2)+4*v(i,j,m+1)-3*v(i,j,m))/(2*hz);
end
if j==y & m==1
omegax(i,j,m)=(w(i,j-2,m)-4*w(i,j-1,m)+3*w(i,j,m))/(2*hy)-(-v(i,j,m+2)+4*v(i,j,m+1)-3*v(i,j,m))/(2*hz);
end
if j==1 & m==z
omegax(i,j,m)=(-w(i,j+2,m)+4*w(i,j+1,m)-3*w(i,j,m))/(2*hy)-(v(i,j,m-2)-4*v(i,j,m-1)+3*v(i,j,m))/(2*hz);
end
if j==y & m==z
omegax(i,j,m)=(w(i,j-2,m)-4*w(i,j-1,m)+3*w(i,j,m))/(2*hy)-(v(i,j,m-2)-4*v(i,j,m-1)+3*v(i,j,m))/(2*hz);
end
end
end
end