Study of compressible flows using Galerkin methods
Visualitza/Obre
REPORT_545.pdf (1,562Mb) (Accés restringit)
BUDGET_567.pdf (122,8Kb) (Accés restringit)
Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/173388
Realitzat a/ambBarcelona Supercomputing Center
Tipus de documentTreball Final de Grau
Data2018-10-10
Condicions d'accésAccés restringit per decisió de l'autor
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Abstract
This report presents the study of the conservation properties for the Euler and Navier-Stokes equations ofcompressible flow, using Galerkin finite element methods. Most simulation methods for compressible flow attainnumerical stability at the cost of swamping the fine turbulent flow structures by artificial (numerical) diffusion.This study demonstrates that numerical stability can also be attained by preserving conservation laws at thediscrete level.First of all, in order to understand the Galerkin finite element methods a steady convection-diffusion trans-port problem is studied through the implementation of a Computational Fluid Dynamics (CFD) code, developedfrom scratch. Then, the numerical results of the simulations are analyzed, demonstrating that the standardGalerkin methods need stabilization techniques to avoid numerical wiggles and improve the results.Secondly, the conservation properties of Galerkin methods for the incompressible Navier-Stokes equationsare studied. A discrete formulation recently developed which conserves the energy, momentum and angularmomentum, without utilizing a strong enforcement of the divergence constraint, is shown.Finally, the compressible Euler equations and the compressible Navier-Stokes equations are studied,through the development of a second CFD code from scratch. Then, a novel discrete formulation conserv-ing energy, momentum and angular momentum is constructed for the compressible Navier-Stokes equations.Several numerical experiments are performed, which verify the theory and test the new formulation in the con-text of finite element.
Descripció
Study and implement a numerical code for the study of compressible flows
MatèriesNavier-Stokes equations, Computational fluid dynamics, Finite element method, Equacions de Navier-Stokes, Dinàmica de fluids computacional, Elements finits, Mètode dels
TitulacióGRAU EN ENGINYERIA EN VEHICLES AEROESPACIALS (Pla 2010)
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
REPORT_545.pdf | 1,562Mb | Accés restringit | ||
BUDGET_567.pdf | 122,8Kb | Accés restringit |