• # Fluid Rendering with Box2D

General and Gameplay Programming

• Posted By dmatter

This is a technical article about how I implemented the fluid in my game “Invasion of the Liquid Snatchers!” which was my entry for the fifth annual "Week of Awesome " game development competition here at GameDev.net.

One of the biggest compliments I’ve received about the game is when people think the fluid simulation is some kind of soft-body physics or a true fluid simulation. But it isn’t!

The simulation is achieved using Box2D doing regular hard-body collisions using lots of little (non-rotating) circle-shaped bodies. The illusion of soft-body particles is achieved in the rendering.

## The Rendering Process

Each particle is drawn using a texture of a white circle that is opaque in the center but fades to fully transparent at the circumference:

These are drawn to a RGBA8888 off-screen texture (using a ‘framebuffer’ in OpenGL parlance) and I ‘tint’ to the intended color of the particle (tinting is something that LibGDX can do out-of-the-box with its default shader).

It is crucial to draw each ball larger than it is represented in Box2D. Physically speaking these balls will not overlap (because it’s a hard-body simulation after all!) yet in the rendering, we do need these balls to overlap and blend together.

The blending is non-trivial as there are a few requirements we have to take into account:

- The RGB color channels should blend together when particles of different colors overlap.
-- … but we don’t want colors to saturate towards white.
-- … and we don’t want them to darken when we blend with the initially black background color.
- The alpha channel should accumulate additively to indicate the ‘strength’ of the liquid at each pixel.

All of that can be achieved in GLES2.0 using this blending technique:

glClearColor(0, 0, 0, 0);
glBlendFuncSeparate(GL_ONE_MINUS_DST_ALPHA, GL_DST_ALPHA, GL_ONE, GL_ONE);

Putting all that together gets us a texture of lots of blurry colored balls:

Next up, is to contribute this to the main backbuffer as a full-screen quad using a custom shader.

The shader treats the alpha channel of the texture as a ‘potential field’, the higher the value the stronger the field is at that fragment.

The shader compares the strength of the field to a threshold:

• Where this field strength is strong enough then we will snap the alpha to 1.0 to manifest some liquid.
• Where the field strength is too weak then we will snap the alpha to 0.0 (or we could just discard the fragment) to avoid drawing anything.

For the final game I went a little further and also included a small window around that threshold to smoothly blend between 0 and 1 in the alpha channel, this softens and effectively anti-aliases the fluid boundary.

varying vec2 v_texCoords;
uniform sampler2D u_texture;

// field values above this are 'inside' the fluid, otherwise we are 'outside'.
const float threshold = 0.6;

// +/- this window around the threshold for a smooth transition around the boundary.
const float window = 0.1;

void main() {
vec4 col = texture2D(u_texture, v_texCoords);
float fieldStrength = col.a;
col.a = smoothstep(threshold - window, threshold + window, fieldStrength);
gl_FragColor = col;
}

This gives us a solid edge boundary where pixels are either lit or not lit by the fluid.
Here is the result after we apply the shader:

Things are looking a lot more liquid-like now!

The way this works is that when particles come within close proximity of each other their potential fields start to add up; once the field strength is high enough the shader will start lighting up pixels between the two particles. This gives us the ‘globbing together’ effect which really makes it look like a fluid.

Since the fluid is comprised of thousands of rounded shapes it tends to leave gaps against the straight-edged tilemap. So the full-screen quad is, in fact, scaled-up to be just a little bit larger than the screen and is draw behind the main scene elements. This helps to ensure that the liquid really fills up any corners and crevices.

Here is the final result:

And that’s all there is for the basic technique behind it!

## Extra Niceties

I do a few other subtle tricks which help to make the fluids feel more believable…

• Each particle has an age and a current speed. I weight these together into a ‘froth-factor’ value between 0 and 1 that is used to lighten the color of a particle. This means that younger or faster-moving particles are whiter than older or stationary parts of the fluid. The idea is to allow us to see particles mixing into a larger body of fluid.
• The stationary ‘wells’ where fluid collects are always a slightly darker shade compared to the fluid particles. This guarantees that we can see the particles ‘mixing’ when they drop into the wells.
• Magma particles are all different shades of dark red selected randomly at spawn time. This started out as a bug where magma and oil particles were being accidentally mixed together but it looked so cool that I decided to make it happen deliberately!
• When I remove a particle from the simulation it doesn’t just pop out of existence, instead, I fade it away. This gets further disguised by the ‘potential field’ shader which makes it look like the fluid drains or shrinks away more naturally. So, on the whole, the fading is not directly observable.

## Performance Optimisations

As mentioned in my post-mortem of the game I had to dedicate some time to make the simulation CPU and Memory performant:

• The ‘wells’ that receive the fluid are really just colored rectangles that “fill up”. They are not simulated. It means I can remove particles from the simulation once they are captured by the wells and just increment the fill-level of the well.
• If particles slow down below a threshold then they are turned into non-moving static bodies. Statics are not exactly very fluid-like but they perform much better in Box2D than thousands of dynamic bodies because they don’t respond to forces. I also trigger their decay at that point too, so they don’t hang around in this state for long enough for the player to notice.
• All particles will eventually decay. I set a max lifetime of 20-seconds. This is also to prevent the player from just flooding the level and cheating their way through the game.
• To keep Java’s Garbage Collector from stalling the gameplay I had to avoid doing memory allocations per-particle where possible. Mainly this is for things like allocating temporary Vector2 objects or Color objects. So I factored these out into singular long-lived instances and just (re)set their state per-particle.

Note: This article was originally published on the author's blog, and is reproduced here with the author's kind permission.

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