Numerical flow simulation

The goal of the course is to provide the students with an "advanced user / beginner developer" level in computational fluid dynamics, with a focus on compressible flows of interest in aerospace and energy applications. Following the course, the student should be able to properly select and apply a solution method for an engineering problem of practical interest and should understand the observed numerical behaviour (accuracy, robustness). The student will also be able to perform basic developments in existing CFD codes: change of boundary conditions or implementation of a new numerical flux.

Lecture #1: Introduction to CFD. From pioneering works to 21^st century challenges. Lectures #2 and #3: Analysis of scalar problems : classification of PDEs, method of characteristics, finite difference schemes for model problems : 1^D advection, 1^D diffusion, 1^D advection-diffusion. Lectures #4 and #5: Extension of 1^D finite-difference schemes to non-linear systems of conservation laws (Euler equations): from the 1^st-order upwind scheme to high-resolution schemes. Lectures #6 and #7: Finite-Volume Schemes in structured and unstructured grids. From Euler equations in Cartesian grids to the Navier-Stokes equations in triangular grids.
Lecture #8 : Introduction to spectral methods.

Grade = 40% knowledge (final exam) + 60% know-how (reports on computer labs) Knowledge grade = 100% final exam grade Know-how grade = 100% average of the 3 computer labs reports Note : when the MOD is (also) followed as a master course (Fluid Mechanics & Energetics, Aerospace Propulsion, Acoustics,...) the 2h MOD final exam is completed with an extra hour devoted to a master-specific problem. In that case, there is on one hand the MOD final exam grade (computed from the problems treated during the 2h of the MOD exam) and a master final exam grade which includes the grade of the master-specific problem. The final master grade for the course is computed with the same balance betwen knowledge and know-how, with the knowledge grade given by the master final exam grade.