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Reduced models to calculate stationary solutions for the lid-driven cavity problem
dc.contributor | Villardi de Montlaur, Adeline de |
dc.contributor.author | Muriel Gracia, Maria |
dc.date.accessioned | 2010-08-30T11:32:38Z |
dc.date.available | 2010-08-30T11:32:38Z |
dc.date.issued | 2010-07-22 |
dc.identifier.uri | http://hdl.handle.net/2099.1/9631 |
dc.description | The lid-driven cavity problem is considered (movement of an incompressible fluid in a closed cavity where the upper lid is moved laterally with constant velocity). For moderate Reynolds numbers the system reaches a stationary state. The stationary state of the system will be studied depending on two non-dimensional parameters, the Reynolds number and the enlargement of the cavity. The equations of the evolution will be discretized using Chebyshev polynomials. In the first place, we will check that the stationary states reached can be described by linear combinations of a few modes, calculated by proper orthogonal decomposition. The idea is to obtain a reduced model which will be, computationally talking, more effective than the original numerical method. To achieve this, we will project the equations of the movement on the manifold generated by the modes and solve the resultant equations. We will discuss the effectiveness of the method with respect to: a) the number of snapshots needed, b) the modes that we have to consider, c) the computational efficiency. |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
dc.rights | Attribution-NonCommercial-ShareAlike 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Aeronàutica i espai |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística |
dc.subject.lcsh | Computational fluid dynamics |
dc.subject.lcsh | Reynolds number |
dc.subject.lcsh | Viscous flow |
dc.subject.lcsh | Aerodynamics |
dc.subject.other | numerical methods |
dc.subject.other | incompressible flow |
dc.subject.other | reduced models |
dc.title | Reduced models to calculate stationary solutions for the lid-driven cavity problem |
dc.type | Master thesis |
dc.subject.lemac | Aerodinàmica |
dc.subject.lemac | Dinàmica de fluids |
dc.rights.access | Open Access |
dc.date.updated | 2010-07-26T06:59:56Z |
dc.audience.educationlevel | Estudis de primer/segon cicle |
dc.audience.mediator | Escola Politècnica Superior de Castelldefels |