Beyond Navier-Stokes: Simulating Multiphysics with Lattice Boltzmann

We discuss the implementation of a Lattice Boltzmann multi-physics fluid dynamics solver in Python. In particular, we use it to simulate interesting physical phenomena such as flow past different geometries, different modes of convection, and multiphase flow. GitHub repository: https://github.com/Beniam-Kumela/scald Great educational resources to learn more about math and implementation behind Lattice Boltzmann Method: 1. A Practical Introduction to the Lattice Boltzmann Method, Alexander J. Wagner (https://www.ndsu.edu/sites/default/files/fileadmin/physics.ndsu.edu/Wagner/LBbook.pdf) 2. The Lattice Boltzmann Method Principles and Practice, Krüger et. al (https://link.springer.com/book/10.1007/978-3-319-44649-3) 3. Lattice-Boltzmann Fluid Dynamics, Schroeder (https://physics.weber.edu/schroeder/javacourse/LatticeBoltzmann.pdf) 4. EGEE 520: Mathematical Modeling Lattice-Boltzmann Method, Alzaabi et al (https://personal.ems.psu.edu/~fkd/courses/EGEE520/2019Deliverables/lbm.pdf) Chapters 00:08 Introduction 0:49 Deriving the Lattice Boltzmann Equation 03:36 Flow past different geometries 06:11 Adding temperature to the model 07:16 Natural convection 09:19 Forced convection 11:01 Multiphase flow 12:13 Outro Disclaimer Statement All songs and videos used in the video belong to their respective owners and I or this channel does not claim any right over them. Copyright Disclaimer under section 107 of the Copyright Act of 1976, allowance is made for “fair use” for purposes such as criticism, comment, news reporting, teaching, scholarship, education and research. Fair use is a use permitted by copyright statute that might otherwise be infringing.