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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Bibliographic Details
Author: Mohamed Sherif, Ahmed Saeed
Format: master thesis
Publication Date:2018
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/123101
Online Access:https://hdl.handle.net/2117/123101
Access Level:Open access
Keyword:Partial -- Numerical solutions
Shock-capturing
Euler equations
FEM
Hybridizable Discontinuous Galerkin
Equacions diferencials parcials -- Solucions numèriques
Àrees temàtiques de la UPC::Enginyeria civil
Description
Summary: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.