Simulating a ship sailing in water wave

Hi!

I have a project in which I have to simulate a ship which is sailing in a water wave. I have decided to do it in by 3D surface plot. I have created water waves but I'm having trouble making the ship which should sit right at the centre of the plot. Following is my water wave simulation code:

clc; clear all ;

x_l = -20;
x_r = 20;
y_l = -20;
y_r = 20;
ds = 0.5;

A = 1;
k = 1;
dt = 0.05;
w = 1;

x = [x_l:ds:x_r];
y = [y_l:ds:y_r];
[X,Y] = meshgrid(x,y);
for i = 1:100
    Z = A*sin(k*Y+(w*i/2));
    CO(:,:,1) = 0.3*ones((y_r-y_l)/ds + 1) + 0.3*cos(k*Y+(w*i/2));
    CO(:,:,2) = 0.3*ones((y_r-y_l)/ds + 1) + 0.3*cos(k*Y+(w*i/2));
    CO(:,:,3) = 0.7*ones((y_r-y_l)/ds + 1) + 0.3*cos(k*Y+(w*i/2));
    surf(X,Y,Z,CO);
    hold on;
    shading interp;
    xlim([x_l x_r]);
    ylim([y_l y_r]);
    zlim([y_l y_r]);
    Zc = sqrt(X.^2+Y.^2);
    surf(X,Y,Zc);
    shading interp;
    hold off;
    drawnow;
    pause(dt);
end

Please guide me in right direction if I'm doing this in wrong way.

Answer 1

[per isakson]

See: A Viking Ship

[Vishal Gupta]

Thank You @per isakson it really helped alot.