Shock-Capturing techniques for Euler equations in the framework of Hybridizable Discontinuous Galerkin

The solution of the compressible Euler equations involves, in some problems, development of discontinuities such as shock waves. To this end, the purpose of this thesis is to investigate some shock-capturing techniques based on artificial viscosity method. This is done in the framework of high-order...

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Detalles Bibliográficos
Autor: Mohamed Sherif, Ahmed Saeed
Tipo de recurso: tesis de maestría
Fecha de publicación:2018
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/123101
Acceso en línea:https://hdl.handle.net/2117/123101
Access Level:acceso abierto
Palabra clave:Partial -- Numerical solutions
Shock-capturing
Euler equations
FEM
Hybridizable Discontinuous Galerkin
Equacions diferencials parcials -- Solucions numèriques
Àrees temàtiques de la UPC::Enginyeria civil
Descripción
Sumario:The solution of the compressible Euler equations involves, in some problems, development of discontinuities such as shock waves. To this end, the purpose of this thesis is to investigate some shock-capturing techniques based on artificial viscosity method. This is done in the framework of high-order Hybridizable Discontinuous Galerkin finite element method.