Computational Fluid Dynamics: Fundamentals and applications through open-source computing tools

Objective

To familiarize students with the modern state of computational fluid dynamics (CFD), the discretization methods (finite-volume, finite-element, finite-difference and spectral approximations), concepts of convergence, stability and conservation that are common to all the discretization methods. Students will also gain basic knowledge necessary to perform fluid flow simulations using open-source software tools.

Syllabus

• Governing equations for fluid flows and their classification.
• Interpolation, integration, spatial discretization, systems of ordinary differential equations (ODEs), ODE integrators.
• Finite-volume, finite-element and finite-difference methods for partial differential equations, accuracy, consistency, stability and conservation.
• Development and analysis of the discretization methods used in simulations of incompressible and compressible fluid flows including shock-capturing methods.
• Introduction to data-driven approximation techniques for fluid flow simulations.