Method for calculating supersonic flows in plasmas without using artificial viscosity

In several problems related to the propagation of shock waves it was found that at the beginning the shock wave propagates in a resting cold material, and after reaching the axis (or center) of symmetry the shock wave is reflected and flows in the previously heated plasma. The shock wave can be thou...

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Detalles Bibliográficos
Autor principal: Bilbao, Luis Ernesto
Publicado: 1988
Materias:
Computer Aided Analysis
Flow of Fluids > Supersonic
Shock Waves
Abstract Only
Eulerian-Lagrangian Method
Ion Temperature
PlasmasPB - Publ by IEEECP - Piscataway, NJ, United States
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_NIS00744_v_n_p144_Bilbao
http://hdl.handle.net/20.500.12110/paper_NIS00744_v_n_p144_Bilbao
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_NIS00744_v_n_p144_Bilbao
record_format dspace
spelling paper:paper_NIS00744_v_n_p144_Bilbao2023-06-08T16:39:25Z Method for calculating supersonic flows in plasmas without using artificial viscosity Bilbao, Luis Ernesto Computer Aided Analysis Flow of Fluids--Supersonic Shock Waves Abstract Only Eulerian-Lagrangian Method Ion Temperature PlasmasPB - Publ by IEEECP - Piscataway, NJ, United States In several problems related to the propagation of shock waves it was found that at the beginning the shock wave propagates in a resting cold material, and after reaching the axis (or center) of symmetry the shock wave is reflected and flows in the previously heated plasma. The shock wave can be thought as a mathematical surface propagating at the speed of the shock. If both pressure and internal energy of the rest material are negligible in comparison with the pressure and internal energy, respectively, of the plasma behind the shock, then the speed of the shock relative to the plasma behind it depends only on the plasma parameters. Using a mixed Eulerian-Lagrangian method, a code that runs as fast as a standard code with artificial viscosity has been developed. If the thickness of the reflected shock wave is not small in comparison with other physically relevant dimensions of the system, then neither the approximation discussed above nor the artificial viscosity can be used. It has been shown that it is possible to estimate the viscosity of a plasma in the transition zone produced by collision of two plasmas having the same ion temperature. This method was used for calculating cylindrical and spherical implosions, and no numerical instabilities or oscillations were observed. Fil:Bilbao, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1988 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_NIS00744_v_n_p144_Bilbao http://hdl.handle.net/20.500.12110/paper_NIS00744_v_n_p144_Bilbao
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Computer Aided Analysis
Flow of Fluids--Supersonic
Shock Waves
Abstract Only
Eulerian-Lagrangian Method
Ion Temperature
PlasmasPB - Publ by IEEECP - Piscataway, NJ, United States
spellingShingle Computer Aided Analysis
Flow of Fluids--Supersonic
Shock Waves
Abstract Only
Eulerian-Lagrangian Method
Ion Temperature
PlasmasPB - Publ by IEEECP - Piscataway, NJ, United States
Bilbao, Luis Ernesto
Method for calculating supersonic flows in plasmas without using artificial viscosity
topic_facet Computer Aided Analysis
Flow of Fluids--Supersonic
Shock Waves
Abstract Only
Eulerian-Lagrangian Method
Ion Temperature
PlasmasPB - Publ by IEEECP - Piscataway, NJ, United States
description In several problems related to the propagation of shock waves it was found that at the beginning the shock wave propagates in a resting cold material, and after reaching the axis (or center) of symmetry the shock wave is reflected and flows in the previously heated plasma. The shock wave can be thought as a mathematical surface propagating at the speed of the shock. If both pressure and internal energy of the rest material are negligible in comparison with the pressure and internal energy, respectively, of the plasma behind the shock, then the speed of the shock relative to the plasma behind it depends only on the plasma parameters. Using a mixed Eulerian-Lagrangian method, a code that runs as fast as a standard code with artificial viscosity has been developed. If the thickness of the reflected shock wave is not small in comparison with other physically relevant dimensions of the system, then neither the approximation discussed above nor the artificial viscosity can be used. It has been shown that it is possible to estimate the viscosity of a plasma in the transition zone produced by collision of two plasmas having the same ion temperature. This method was used for calculating cylindrical and spherical implosions, and no numerical instabilities or oscillations were observed.
author Bilbao, Luis Ernesto
author_facet Bilbao, Luis Ernesto
author_sort Bilbao, Luis Ernesto
title Method for calculating supersonic flows in plasmas without using artificial viscosity
title_short Method for calculating supersonic flows in plasmas without using artificial viscosity
title_full Method for calculating supersonic flows in plasmas without using artificial viscosity
title_fullStr Method for calculating supersonic flows in plasmas without using artificial viscosity
title_full_unstemmed Method for calculating supersonic flows in plasmas without using artificial viscosity
title_sort method for calculating supersonic flows in plasmas without using artificial viscosity
publishDate 1988
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_NIS00744_v_n_p144_Bilbao
http://hdl.handle.net/20.500.12110/paper_NIS00744_v_n_p144_Bilbao
work_keys_str_mv AT bilbaoluisernesto methodforcalculatingsupersonicflowsinplasmaswithoutusingartificialviscosity
_version_ 1769175816171683840

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