Adaptive Finite Volume numerical method

This work describes a Finite Volume computational method for the parametric study of phenomena in plasmas, i.e. in situations where numerous runs of three-dimensional simulations are required (in many cases, thousands or tens of thousands). Such problems require simple codes, robust, modular (to add...

Descripción completa

Detalles Bibliográficos
Autor principal:	Bilbao, Luis Ernesto
Publicado:	2015
Materias:	Computational efficiency Fluid dynamics Fusion reactors Hydrodynamics Mesh generation Supersonic aircraft Finite-amplitude perturbations Irregular meshes Kelvin- helmholtz instabilities Physical process Spatial resolution Spatial response Temporal response Three dimensional simulations Numerical methods
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v591_n1_p_Bilbao http://hdl.handle.net/20.500.12110/paper_17426588_v591_n1_p_Bilbao
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_17426588_v591_n1_p_Bilbao
record_format	dspace
spelling	paper:paper_17426588_v591_n1_p_Bilbao2023-06-08T16:27:35Z Adaptive Finite Volume numerical method Bilbao, Luis Ernesto Computational efficiency Fluid dynamics Fusion reactors Hydrodynamics Mesh generation Supersonic aircraft Finite-amplitude perturbations Irregular meshes Kelvin- helmholtz instabilities Physical process Spatial resolution Spatial response Temporal response Three dimensional simulations Numerical methods This work describes a Finite Volume computational method for the parametric study of phenomena in plasmas, i.e. in situations where numerous runs of three-dimensional simulations are required (in many cases, thousands or tens of thousands). Such problems require simple codes, robust, modular (to add or remove physical processes) and do not require high precision. The code is based on a complex multi-component species program with transport and radiation terms. The integration domain is represented with a structured irregular mesh, with fixed connectivity. A new algorithm for the hydrodynamics was implemented in order to improve the computational efficiency plus the improved capability of adapting the mesh to the solution. The improved hydrodynamics method worked well in an ample range of Mach number from subsonic (10-3) to supersonic. After each calculation cycle, mesh vertices are moved arbitrary over the fluid. This is done in order to dynamically adapt the mesh to the solution. The adaptive method consists of shifting mesh vertices over the fluid in order to keep a reasonable mesh structure and increase the spatial resolution where the physical solution demands. As an example, we show the results of the development of the Kelvin-Helmholtz instability in local plane slab models of the magnetopause, showing the development and saturation of the instability in an initially unperturbed structure, i.e., the temporal response approach; and the response of a background equilibrium to the excitation by finite amplitude perturbations generated upstream, i.e., the spatial response of the system. © Published under licence by IOP Publishing Ltd. Fil:Bilbao, L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v591_n1_p_Bilbao http://hdl.handle.net/20.500.12110/paper_17426588_v591_n1_p_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	Computational efficiency Fluid dynamics Fusion reactors Hydrodynamics Mesh generation Supersonic aircraft Finite-amplitude perturbations Irregular meshes Kelvin- helmholtz instabilities Physical process Spatial resolution Spatial response Temporal response Three dimensional simulations Numerical methods
spellingShingle	Computational efficiency Fluid dynamics Fusion reactors Hydrodynamics Mesh generation Supersonic aircraft Finite-amplitude perturbations Irregular meshes Kelvin- helmholtz instabilities Physical process Spatial resolution Spatial response Temporal response Three dimensional simulations Numerical methods Bilbao, Luis Ernesto Adaptive Finite Volume numerical method
topic_facet	Computational efficiency Fluid dynamics Fusion reactors Hydrodynamics Mesh generation Supersonic aircraft Finite-amplitude perturbations Irregular meshes Kelvin- helmholtz instabilities Physical process Spatial resolution Spatial response Temporal response Three dimensional simulations Numerical methods
description	This work describes a Finite Volume computational method for the parametric study of phenomena in plasmas, i.e. in situations where numerous runs of three-dimensional simulations are required (in many cases, thousands or tens of thousands). Such problems require simple codes, robust, modular (to add or remove physical processes) and do not require high precision. The code is based on a complex multi-component species program with transport and radiation terms. The integration domain is represented with a structured irregular mesh, with fixed connectivity. A new algorithm for the hydrodynamics was implemented in order to improve the computational efficiency plus the improved capability of adapting the mesh to the solution. The improved hydrodynamics method worked well in an ample range of Mach number from subsonic (10-3) to supersonic. After each calculation cycle, mesh vertices are moved arbitrary over the fluid. This is done in order to dynamically adapt the mesh to the solution. The adaptive method consists of shifting mesh vertices over the fluid in order to keep a reasonable mesh structure and increase the spatial resolution where the physical solution demands. As an example, we show the results of the development of the Kelvin-Helmholtz instability in local plane slab models of the magnetopause, showing the development and saturation of the instability in an initially unperturbed structure, i.e., the temporal response approach; and the response of a background equilibrium to the excitation by finite amplitude perturbations generated upstream, i.e., the spatial response of the system. © Published under licence by IOP Publishing Ltd.
author	Bilbao, Luis Ernesto
author_facet	Bilbao, Luis Ernesto
author_sort	Bilbao, Luis Ernesto
title	Adaptive Finite Volume numerical method
title_short	Adaptive Finite Volume numerical method
title_full	Adaptive Finite Volume numerical method
title_fullStr	Adaptive Finite Volume numerical method
title_full_unstemmed	Adaptive Finite Volume numerical method
title_sort	adaptive finite volume numerical method
publishDate	2015
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17426588_v591_n1_p_Bilbao http://hdl.handle.net/20.500.12110/paper_17426588_v591_n1_p_Bilbao
work_keys_str_mv	AT bilbaoluisernesto adaptivefinitevolumenumericalmethod
_version_	1768543628366446592

Adaptive Finite Volume numerical method

Ejemplares similares