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Full-Text Articles in Physical Sciences and Mathematics
Impulse Method For Shallow Water Simulation, Evan Muscatel
Impulse Method For Shallow Water Simulation, Evan Muscatel
Dartmouth College Undergraduate Theses
The Shallow Water Equations is a simple method to simulate fluid in real-time. As a real-time model, the SWE is an excellent candidate for use in video games. However, the model is not often used in most fluid simulations because it does not preserve vorticity well, and therefore does not look very realistic. We present an improvement on the Shallow Water Equations by using a gauge method to preserve the vorticity of the fluid. We add a variable called impulse !, which is only weakly coupled with the velocity " of the simulation. We show that using this impulse method, …
Learning And Simulation Algorithms For Constraint Physical Systems, Shuqi Yang
Learning And Simulation Algorithms For Constraint Physical Systems, Shuqi Yang
Dartmouth College Master’s Theses
This thesis explores two computational approaches to learn and simulate complex physical systems exhibiting constraint characteristics. The target applications encompass both solids and fluids. On the solid side, we proposed a new family of data-driven simulators to predict the behaviors of an unknown physical system by learning its underpinning constraints. We devised a neural projection operator facilitated by an embedded recursive neural network to interactively enforce the learned underpinning constraints and to predict its various physical behaviors. Our method can automatically uncover a broad range of constraints from observation point data, such as length, angle, bending, collision, boundary effects, and …