Hi. Im having a hard time understanding some math behind particle effects especially the explosion thing. I really dont know how the explosion is generated. I wonder if its a random direction or it does use a math formula which i dont know. So im asking if does anyone knows a very well detailed explanation of this that is for beginner. Ive been searching the net but most of them use an engine or a c++. I really looking for java because i am much comfortable with that.

Thanks

Advance happy new year

## 3 Replies - 598 Views - Last Post: 31 December 2013 - 07:58 AM

### #1

# Detailed explanation of particles effects with all of its math formula

Posted 28 December 2013 - 11:28 PM

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**Replies To:** Detailed explanation of particles effects with all of its math formula

### #2

## Re: Detailed explanation of particles effects with all of its math formula

Posted 29 December 2013 - 02:04 PM

This is how I do my explosions. In this case I'm using a Sphere3d object, but you can use anything. I use this for creating little splashes such as when a raindrop hits the ground, or for blood when something gets shot, and basically anything involving droplets.

I use spherical coordinates to generate a velocity vector in random directions.

I use spherical coordinates to generate a velocity vector in random directions.

public LinkedList<Sphere3d> createExplosion(Vector3d position, Vector3d velocity, double outwardSpeed, int count, double radius) { LinkedList<Sphere3d> list = new LinkedList<Sphere3d>(); for (int i = 0; i < count; i++) { list.add(new Sphere3d(position, Vector3d.getRandomUnitVector().mulLocal(outwardSpeed).addLocal(velocity), // <- the velocity of the Sphere3d radius)); } return list; } . . . . public class Vector3d { // code removed for brevity public static final Vector3d getRandomUnitVector() { return getRandomUnitVector(MathConsts.PI, MathConsts.TWO_PI); } public static final Vector3d getRandomUnitVector(double thetaRange, double phiRange) { return fromSpherical(1, RandLookUp.nextDouble(thetaRange), RandLookUp.nextDouble(phiRange)); } public static Vector3d fromSpherical(double r, double theta, double phi) { return new Vector3d(r * Math.sin(theta) * Math.cos(phi), r * Math.sin(theta) * Math.sin(phi), r * Math.cos(theta)); } }

This post has been edited by **carnivroar**: 29 December 2013 - 02:16 PM

### #3

## Re: Detailed explanation of particles effects with all of its math formula

Posted 29 December 2013 - 09:00 PM

I've found some good articles on Particles which include some math formulas.

Applied Mathematics and Scientiﬁc Computing in the Visual Eﬀects Industry

Smoothed-particle hydrodynamics

Particle system

Particles tutorial part1 - get something on the Screen

Particle System - Step by Step

Chapter 4. Particle Systems In Detail

These are just a few articles out of thousands available on the internet. I hope this helps in your understanding of particle effects and particle systems.

Applied Mathematics and Scientiﬁc Computing in the Visual Eﬀects Industry

Smoothed-particle hydrodynamics

Particle system

Particles tutorial part1 - get something on the Screen

Particle System - Step by Step

Chapter 4. Particle Systems In Detail

These are just a few articles out of thousands available on the internet. I hope this helps in your understanding of particle effects and particle systems.

### #4

## Re: Detailed explanation of particles effects with all of its math formula

Posted 31 December 2013 - 07:58 AM

aaron1178, on 29 December 2013 - 09:00 PM, said:

I've found some good articles on Particles which include some math formulas.

Applied Mathematics and Scientiﬁc Computing in the Visual Eﬀects Industry

Smoothed-particle hydrodynamics

Particle system

Particles tutorial part1 - get something on the Screen

Particle System - Step by Step

Chapter 4. Particle Systems In Detail

These are just a few articles out of thousands available on the internet. I hope this helps in your understanding of particle effects and particle systems.

Applied Mathematics and Scientiﬁc Computing in the Visual Eﬀects Industry

Smoothed-particle hydrodynamics

Particle system

Particles tutorial part1 - get something on the Screen

Particle System - Step by Step

Chapter 4. Particle Systems In Detail

These are just a few articles out of thousands available on the internet. I hope this helps in your understanding of particle effects and particle systems.

Wow Cool.. Thank you very much for the links

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