Kinetic Theory & Computational Modeling in Fluid Dynamics
ME 59700/ 3 Cr.
This course consists of two parts: (1) Microscopic description of thermal fluids including Boltzmann equation, kinetic theory of gases, solutions of Boltzmann equations and Monte Carlo modeling method, and (2) lattice Boltzmann method (LBM) for solving problems, isothermal/non-isothermal incompressible flows, and multiphase flows. Team projects to simulate a cavity flow using Monte Carlo modeling and LBM with varying Knudsen number will provide a first-hand experience about how to solve thermal fluids through varying scale modeling and numerical simulations.
- Available Online: No
- Credit by Exam: No
- Laptop Required: No
Upon completion of the course, students are expected to be able to do the followings
- Understand the solution to the linearized Boltzmann Equation.
- Understand the concept of the Maxwell velocity distribution
- Clarify concepts of collision frequencies and collision integrals.
- Identify possible gas flow regimes (continuum, slip, transition and free molecular). Learn when governing equations in different regimes are applicable.
- Calculate basic gas properties such as temperature, pressure, flow velocity, gas stresses and fluxes from the molecular velocity distribution function.
- Understand mesoscale modeling and simulation of thermal fluids
- Setup and conduct direct simulation Monte Carlo modeling for rarefied flow problems. Setup and conduct LBM for complex flows.
- Understand the methodology of lattice Boltzmann modeling
- Be capable to solve numerical results of NS equations using lattice Boltzmann method.
Kinetic Theory of Gases
Pressure, Energy Distributions