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Quiriny_27611600_2021.pdf
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- Abstract
- The study of viscous thin films is the subject of many scientific researches. Their equations on plane and curved surfaces have been established for a long time and different methods allow their resolution. But it is only very recently, thanks to the development of the computing power of computers, that it is now possible to carry out their simulation in real-time on simple laptops or even on smartphones. In this work, we develop the film equations based on a series of perturbations. The finite volume method on a Cartesian grid as well as the gradient flow method and fractional steps allow us to obtain a stable and local explicit model. When implemented on GPU, this model reveals its true power thanks to its high parallelism. This efficiency allows real-time interactive simulations at more than 60 frames per second. The development of some models that deviate a little from real physics has allowed us to obtain much more stable schemes while keeping the physical effects that characterize viscous films. In addition, the interaction of the fluid with obstacles and the flow over non-planar surfaces such as bricks allow additional visual effects. A demonstration of these simulations is available at this address: https://www.youtube.com/watch?v=6n8uDTYJ684