Computational Fluid Dynamics for Engineers

This is a course on Computational Fluid Dynamics (CFD) related to process and energy systems. Some elementary knowledge of numerical methods (discretization of a derivative, numerical solution of ordinary differential equations) is assumed; see expected prior knowledge.

In general, the course will cover:

1. General conservation equations for mass, heat, and momentum transport (Navier–Stokes equations)

2. Numerical solution of multi-dimensional, stationary, and time-dependent problems encountered in low-speed CFD applications:

   1. Temporal discretization schemes

   2. Spatial discretization methods (finite-difference/finite-volume) for diffusion and advection in simple and complex geometries

   3. Boundary and initial conditions for well-posed problems

3. Verification and validation of numerical methods and CFD simulations

4. Turbulence modeling: from Direct Numerical Simulation (DNS) to Large-Eddy Simulation (LES) and Reynolds-Averaged Navier–Stokes (RANS)

5. Wave equation and numerical discretizations for high-speed, compressible flows

6. Advanced topics, including combustion and machine learning for CFD