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path: root/src/shader/code/interact.glsl
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2019-04-28Experimental visualization of the velocity curlAdrian Kummerlaender
Calculating the curl of our simulated velocity field requires an additional compute shader step. Handling of buffer and shader switching depending on the display mode is implemented rudimentarily for now. Most of this commit is scaffolding, the actual computation is more or less trivial: ``` const float dxvy = (getFluidVelocity(x+1,y).y - getFluidVelocity(x-1,y).y) / (2*convLength); const float dyvx = (getFluidVelocity(x,y+1).x - getFluidVelocity(x,y-1).x) / (2*convLength); setFluidExtra(x, y, dxvy - dyvx); ``` This implements the following discretization of the 2d curl operator: Let $V : \mathbb{N}^2 \to \mathbb{R}^2$ be the simulated velocity field at discrete lattice points spaced by $\Delta x \in \mathbb{R}_{\gt 0}$. We want to approximate the $z$-component of the curl for visualization: $$\omega := \partial_x F_y - \partial_y F_x$$ As we do not possess the actual function $F$ but only its values at a set of discrete points we approximate the two partial derivatives using a second order central difference scheme: $$\overline{\omega}(i,j) := \frac{F_y(i+1,j) - F_y(i-1,j)}{2 \Delta x} - \frac{F_x(i,j+1) - F_x(i,j-1)}{2 \Delta x}$$ Note that the scene shader does some further rescaling of the curl to better fit the color palette. One issue that irks me is the emergence of some artefacts near boundaries as well as isolated "single-cell-vortices". This might be caused by running the simulation too close to divergence but as I am currently mostly interested in building an interactive fluid playground it could be worth it to try running an additional smoothening shader pass to straighten things out.
2019-04-24Add support for erasing wallsAdrian Kummerlaender
2019-02-24Further abstract mouse handlingAdrian Kummerlaender
2019-02-24Extract interaction logic into separate shaderAdrian Kummerlaender
The collide shader became to crowded for my taste. As a nice side benefit we can now execute interaction processing only when actual interaction is taking place.