Are you an EPFL student looking for a semester project?
Work with us on data science and visualisation projects, and deploy your project as an app on top of Graph Search.
The Finite Volume Method
This lecture introduces the Finite Volume Method (FVM) for numerical flow simulation. It covers the governing equations for incompressible and compressible flows, conservation equations, model equations, and the application of FVM to solve steady diffusion and convection-diffusion problems. The lecture explains the discretization of unknowns, volume and surface integrals, and boundary conditions. It also discusses the FVM in 1D examples, including heat conduction, and various interpolation methods for surface integrals. Additionally, it explores local and global conservation, the transformation of PDEs into algebraic equations, and the division of domains into control volumes.