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| MECA0097-1 | Digital Methods in Fluid Dynamics
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| Duration : | 15h Th, 15h Pr |
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| Credits/ECTS : |
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| Holder(s) : | Jean‑André Essers |
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| Language : | French language |
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| Course contents : | General properties of Navier-Stokes equations on compressible flow. Shock capture. Specific issues relating to the calculation of Newtonian incompressible viscous fluid flow and methods of artificial compression. Dissipative and dispersive effects due to decentralisation of advective derivatives.
Difficulties linked to the use of too-large mesh in strongly sheared layers. Discretisation of Navier-Stokes equations using finite volume methods and polynomial reconstruction in structured or non-structured meshes.
Riemann solvers. Explicit temporal integration schemes (MacCormack, Runge-Kutta) and implicit schemes (factorisation approach, Newton-GMRES, BIGGSTAB). Digital processing of limit conditions. Precision difficulties linked to the use of highly-distorted meshes. |
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| Course objective : | Introduction to methods of finite volumes for the digital resolution of advection-diffusion problems with dominant advective effects; application of the calculation of compressible and incompressible Newtonian viscous fluid flow at a high Reynolds numbers.
The main aim of the course is to familiarise students with the difficulties of developing calculation programmes for fluid dynamics. |
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| Prerequisites : | MATH024-0 Compléments d'analyse numérique (équations aux dérivées partielles) - 30 + 30 hours (same teacher). |
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| Workshops : | Work in groups of 3-4 students. Consists in writing (in FORTRAN) a code for calculating simple flow (quasi-unidimensional) using different finite volume schemes. Application of codes by students and creation of several comparative calculations illustrating the properties of the scheme. Drafting of a report and a final oral presentation will allow for an individual grade to be assigned. This work is usually carried out during the second semester. It should be noted that all students enrolling for this course are obliged to carry out this piece of work. The same is applicable to students who have not carried out the work during the year and wish to present themselves for examination in the second session. |
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| Organization : | For the first 7 weeks of the first semester, in accordance with the timetable. |
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| Written notes : | The notes consist of extracts from books and articles from the literature (photocopies); these can be acquired from Prof ESSERS Department. |
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| Assessment : | Oral theory exam: 50 % - group work: 50 % - for the 1st and 2nd sessions, a retrospective examination will take place in January and in September. |
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| Contacts : | Lecturer : Prof. J.A. ESSERS - Tel. 04/366.93.59 - e-mail JA.Essers@ulg.ac.be
Assistant : M. Jean-Marc VAASEN - Tel. 04/366.94.91- e-mail JM.Vaasen@ulg.ac.be
Secretary's office: Mme LEROY (Mondays and Fridays) Tel. 04/366.91.36 |
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