Fundamental partial differential equations (PDE’s) in fluid dynamics and discretization. Regarding spatial discretization, finite difference and finite volume methods are presented. Focus on convection- diffusion equations using the finite volume approach. Explicit-Implicit schemes for time discretization. Various options are presented for the spatial discretization with focus on the numerical properties of the schemes (error and stability). Solution of system of equations using the previous techniques- basic introduction to the Navier-Stokes equations and turbulence modelling using the RANS approach. The course has compulsory assignments.
- Teacher: Γεώργιος Παπαδάκης
ECTS : 4
Language : el, en
Learning Outcomes : The course aims to provide students with:
• An introduction and in-depth study of the fundamental topics and methodologies related to the numerical solution of hydrodynamic problems.
• A deeper understanding of transport–diffusion equations, approached from both analytical and numerical perspectives.
• A description of numerical discretization methodologies and the development of solution algorithms.
• An overview of methods for solving coupled differential equations and their connection to fluid mechanics. Presentation of the governing equations for incompressible flows and of turbulence modeling equations.