Meshless Lagrangian Fluid Dynamics
My current research involves working with a meshless fluid domain. By utilizing a multi-dimensional Lagrange Interpolating Polynomial, the gradient and Laplacian functions can be found. After interpolation, the Navier-Stokes equations can be solved in a fractional time-stepping process in which Laplace's equation is solved in order to conserve mass.
Movies
Enjoy a few movies that I've made.
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Here is an extremely non-computationally intensive simulation of a breaking dam
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Here is an oscillating sine wave
