Evaluate a ball launched at multiple angles? Theta0 needs to be 30, 45, 60. I want to plot all 3 trajectories on the same plot
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% ***** PROGRAM 1.4 *****
% MOTION AND TRAJECTORY OF A SPHERICAL PROJECTILE IN A FLUID
% Reference: Computational Fluid Mechanics by Example (Biringen and Chow; Wiley 2011)
clc;
clear all;
format short e;
global A B C D NU PI
% ***** ASSIGN INPUT DATA AND START THE OUTPUT ON A NEW PAGE *****
RHO = 8000.0;
RHOF = 1.22;
G = 9.8;
DT = 0.1;
TMAX = 10;
IFRPRT = 5;
T0 = 0.0;
X0 = 0.0;
Y0 = 0.0;
W0 = 50.0;
RHOBAR = RHOF/RHO;
NU = 1.49E-5;
PI = 3.14159;
% PI = pi;
D = 0.05;
A = 1. + RHOBAR/2.;
B = (1. - RHOBAR)*G;
C = 3.*RHOBAR/(4.*D);
% ***** PRINTING HEADINS AND ASSIGN INITIAL CONDITIONS FOR EACH OF THE 3
% CASES WITH THETA0 = 30, 45 AND 60 DEGREES, RESPECTIVELY. THEN PRINT THE
% INITIAL VALUES *****
THETA0 = 15.0;
J=1
THETA0 = THETA0 + 15.0;
I = 1;
T(I) = T0;
X(I) = X0;
Y(I) = Y0;
U(I) = W0 * cos(THETA0*PI/180.);
V(I) = W0 * sin(THETA0*PI/180.);
% ***** FOURTH-ORDER RUNGE-KUTTA METHOD IS USED TO INTEGRATE THE EQUATIONS
% OF MOTION, STOP THE COMPUTATION FOR ONE CASE IF THE PROJECTILE DROPS BACK
% TO ITS INITIAL LEVEL OR BELOW, PRINT DATA WHEN THE LAST TIME STEP IS
% REACHED OR WHEN THE COUNT I IS AN INTEGRAL MULTIPLE OF IFRPRT *****
while (Y(I) >= 0.)
[TSOL,SOL] = ode45(@FXY, [T(I), T(I)+DT], [X(I), U(I), Y(I), V(I)]);
I = I + 1;
T(I)=TSOL(end);
X(I)=SOL(end,1);
U(I)=SOL(end,2);
Y(I)=SOL(end,3);
V(I)=SOL(end,4);
if (rem(I-1,IFRPRT) == 0)
disp([T(I) X(I) Y(I) U(I) V(I)]);
end
end
disp([T(I) X(I) Y(I) U(I) V(I)]);
clear plot
plot(X,Y)
xlabel('X (m)'),ylabel('Y (m)')
title('Trajectory of a steel sphere in air, initial velocity 50 m/s; initial projectile elevation 30 degrees')
1 commentaire
dpb
le 21 Sep 2016
See
doc hold % 'on', 'all' options, specifically
After you plot the first, then use the hold magic and don't clear anything; make another plot on the same axes.
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