Numerical Flow Simulation: Methods and Applications

This lecture covers various numerical methods for flow simulation, including the finite element method, spectral methods, particle methods like smoothed-particle hydrodynamics, and lattice Boltzmann methods. It explains the discretization of solutions, common basis functions, spectral expansions, and the implementation of different methods for flow simulation. The lecture also discusses the advantages and limitations of each method, such as conservation enforcement, computational cost, parallel computing suitability, and handling of complex geometries.