I have 2 vectors in plot and I would like to know how the points of the vectors are connected – by spline or by segment line or…? Example: t=[0,20]; init_y1=0; init_y2=1; [T,Y]=ode45(@p1,t,[init_y1 init_y2],options); plot(T,Y(:,1),'black-');
MATLAB: How does the plot connect the points
plot
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Add these ines:
curv_dif = um - um2; % Subtract Curves
idx = find(diff(sign(curv_dif))); % Indicex Of Sign Changes
for k = 1:numel(idx) idxrng = [-1 0 1]+idx(k); xint(k) = interp1(curv_dif(idxrng), Ac(idxrng), 0); % ‘x’ At Intersection
yint(k) = interp1(Ac, um, xint(k)); % ‘y’ At Intersection
endso the complete revised code is now:
a0 = 1;Ab = 5.21e6;kenex = 1.05;f = 0.1;Lc = 1700;T = 12.42*3600;g = 9.81;sigma = 2*pi/T;Ck = 0.86;% Hydraulic Curve
Ac = [1:1:2e3];Rc = sqrt(Ac/20);F = kenex + f*Lc./(4*Rc);beta = F*Ab./(2*Lc*Ac)*a0;alpha = (Lc*Ab./(g*Ac)).^0.5*sigma;mu = 16*alpha.^2.*beta/(3*pi);um_prime = ((((1-alpha.^2).^4 + mu.^2).^0.5 - (1-alpha.^2).^2)./(0.5*mu.^2)).^0.5;um = um_prime*2*pi*a0/T.*Ab./Ac;% Sedimentary Curve
P = (Ac/1.58e-4).^(1/0.95);um2 = P*pi*Ck./(T*Ac);figure(1);semilogx(Ac,um)xlabel('Channel Area (m^2)')ylabel('u_m (m/s)')grid onhold onsemilogx(Ac,um2);curv_dif = um - um2; % Subtract Curvesidx = find(diff(sign(curv_dif))); % Indicex Of Sign Changesfor k = 1:numel(idx) idxrng = [-1 0 1]+idx(k); xint(k) = interp1(curv_dif(idxrng), Ac(idxrng), 0); % ‘x’ At Intersection yint(k) = interp1(Ac, um, xint(k)); % ‘y’ At Intersectionendplot(xint, yint, 'xr')hold offlegend('Hydraulic Curve','Sedimentary Curve','Intersections','Location','best')EDIT — (12 Jun 2020 at 21:24)
Added plot figure —
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You can probably use hist3. See some similar questions here:
Upload some data if you need code.
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