![]() The idea behind our modelling is based on the following some simplistic assumptions: It is interesting this explanation of getting the equations of big water dynamics directly, not using the Navier Stokes equations. In this link you can find some information about the initial model that used this method ( Smoothed-Particle Hydrodynamics), and it can be found in simulators that go from astrophysics modelling to educational packages (like the funny Algodoo). In the second case, particle systems, more simple local interactions are in use, but instead of solving one big/harder equation we have to solve a lot of small/simple equations. ![]() In this link you can find an introduction to physics and simulation of fluids with a videogame orientation. In any case, they are really interesting and the agent based modelling is usually inspired in them, so we encourage the reader to know a bit more about this mathematical modelling, commonly a variant of the Navier Stokes equations. In the first case, differential equations, the theory behind is too hard to be modelled with NetLogo, and it is far away from the agent modelling point of view, the real focus of this software. Both of them are high computing resources consuming, but provide very accurate ways to obtain dynamics very similar to real fluids, liquids or gasses. You can find very realistic and nice simulation of different fluids behaviours under several and more general assumptions, but here we will give only a fast and simple way to obtain a behaviour that we visually recognize as a liquid.Įssentially, there are two main approaches to the problem of liquids simulation: considering the differential equations that classically are behind them to provide mathematical models, or approximating the fluid as a set of particles with some attracting and repelling forces between them. In this post we will simplify so much the assumptions that the model we will obtain only will be useful to simulate liquids under some conditions, but not gasses. They require a huge amount of calculations in order to predict the dynamics of the whole system, and it is very common to try to reduce the complexity by statistical calculations. Because fluids take the shape of their container, they are always in collision with everything around them, including the fluid itself, hence a collision with one part of the fluid effectively means that the whole body of fluid must respond. But you can see them as a set of free particles with continuous interaction between them and the environment.
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