Meshless Lagrangian Fluid Dynamics

A fall

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.

  1. Here is an extremely non-computationally intensive simulation of a breaking dam

  2. Here is an oscillating sine wave