Thread: Euler integration

Ok so I have to create a Java application that simulates a minimum of 3 spheres moving through a frictionless environment with gravity. The environment should be a confined cube area for the spheres to collide and respond. The application does need to display the positions of the spheres in real time, but the 3D vector positions should be saved for each sphere to an output file for future plotting. Set initial velocities and positions and run the simulation for at least 100 iterations. Design your application such that collisions and their associated responses will occur during the simulation.
I got the pseudocode for this I think but I cant get it into java code for the life of me.

void main()
{
//variables needed by the sim
Vector3D cur_S[2*N];   //S(t+delta_t)
Vector3D prior_S[2*N];
Vector3D S_derivs[2*N];
float mass[N];
float t;
float delta_t;
 
//set current state to initail conditions
for(i = 0; i  < N; i++){
mass[i] = mass of particle i;
cur_S[2*i] = particle i initial linear momentum;
sur_S[2*i+1] = particle i initial position;
}
 
while (game simulation is running){
DoPhysicisSimulationStep(delta_t);
for (i = 0; i < M; i ++){
Render particle i at postion cur_S[2*i +1];
}
}
 
//update physics
void DoPhysicisSimulationStep(delta_t){
copy cur_S to prior_s
//calculate the stae derivative vector
for(i = 0; i < N; i++){
S_derivs[2*i] = CalcForce(i);
S_derivs[2*i+1] = prior_S[2*i] / mass[i];
}
//integrate the equations of motion
ExplicitEuler(2*N, cur_S, prior_S, S_derivs, delta_t);
 
t = t+ delta_t;
}
}

I get most of it but I cant seam to get it into code.

Well, what do you know? Here's a little something to get you started. I basically show you how a method looks, how to declare variables, how to declare arrays, how the main method looks. Do you think you can take it from here?

public class Assignment {
 
    public static boolean physicsMethod(int value) {
        if (value > 0)
            return true;
        else
            return false;
    }
 
    public static void main(String[] args) {
        int[] integerArray = new int[5];
        float num;
    }
 
}

Thanks for the code. Thats is what I did not get. The loops thats what I can do.
Ill post the finished code when Im done with it.

Ok I hit a snag once again
I got this far with the codeing

import java.lang.Math;
 
 
public class Euler {
 
	public static void main(String[] args) {
 
		//data needed
		int n = 3; //the 3 circles thingys
		float mass[] = null;
		float t = 0;
		float delta_t = 0;
		Vector3D cur_S[] = null;
		Vector3D prior_S[] = null;
		Vector3D s_derives[] = null;
		Vector3D initialV[] = null;//Initial velocity
		Vector3D initialP[] = null;//initial position
		Vector3D postionC[] = null; //current position of object
 
 
		boolean gameOn = true; //keep game sim going
 
		//set current state to initial conditions
		for(int i = 0; i < n; i++){
			mass[i] = 50;
			cur_S[2*i] = initialV[i]; 
			cur_S[2*i+1] = initialP[i]; 
		}
 
		while(gameOn == true){
			physicSim(delta_t, null, null, null, n, n, postionC);
			for (int i = 0; i < n; i ++){ 
				postionC[i] = cur_S[2*i +1]; 
		}
		}
 
		//do physic method
 
 
		ExplicitEuler(2*n, cur_S, prior_S, s_derives, delta_t, n); 
 
		t = t + delta_t; 
}
 
	private static void ExplicitEuler(int i, Vector3D[] curS,
			Vector3D[] prior_S, Vector3D[] s_derives, float delta_t, int n) {
		for(int g =0; g < n; g++){
			curS[i] = prior_S[i] + delta_t * s_derives[i];
			      }
 
	}
 
	private static void physicSim(float delta_t,Vector3D cur_S, Vector3D prior_S, Vector3D s_derives, float mass, int n, Vector3D[] postionC ) {
		prior_S = cur_S;
		//calculate the state derivative vector 
		for(int i = 0; i < n; i++){ 
			s_derives[2*i] = CalcForce(i); 
			s_derives[2*i+1] = prior_S[2*i]/mass;
				}
 
	}
 
 
 
}

And yes I do have the vecotr3D in a different class file