A new numerical method for solving radiation driven winds from hot stars

We present a general method for solving the non-linear differential equation of monotonically increasing steady-state radiation driven winds. We graphically identify all the singular points before transforming the momentum equation to a system of differential equations with all the gradients explici...

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Detalles Bibliográficos
Autores principales: Curé, M., Rial, D.F.
Formato: JOUR
Materias:
Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: winds, outflows
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00046337_v328_n6_p513_Cure
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00046337_v328_n6_p513_Cure
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spelling todo:paper_00046337_v328_n6_p513_Cure2023-10-03T13:59:46Z A new numerical method for solving radiation driven winds from hot stars Curé, M. Rial, D.F. Hydrodynamics Methods: analytical Stars: early-type Stars: mass-loss Stars: winds, outflows We present a general method for solving the non-linear differential equation of monotonically increasing steady-state radiation driven winds. We graphically identify all the singular points before transforming the momentum equation to a system of differential equations with all the gradients explicitly given. This permits a topological classification of all singular points and to calculate the maximum and minimum mass-loss of the wind. We use our method to analyse for the first time the topology of the non-rotating frozen-in ionisation m-CAK wind, with the inclusion of the finite disk correction factor, and find up to 4 singular points, three of the x-type and one attractor-type. The only singular point (and solution passing through) that satisfies the boundary condition at the stellar surface is the standard m-CAK singular point. © 2007 WILEY-VCH Verlag GmbH & Co. KGaA. Fil:Rial, D.F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00046337_v328_n6_p513_Cure
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: winds, outflows
spellingShingle Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: winds, outflows
Curé, M.
Rial, D.F.
A new numerical method for solving radiation driven winds from hot stars
topic_facet Hydrodynamics
Methods: analytical
Stars: early-type
Stars: mass-loss
Stars: winds, outflows
description We present a general method for solving the non-linear differential equation of monotonically increasing steady-state radiation driven winds. We graphically identify all the singular points before transforming the momentum equation to a system of differential equations with all the gradients explicitly given. This permits a topological classification of all singular points and to calculate the maximum and minimum mass-loss of the wind. We use our method to analyse for the first time the topology of the non-rotating frozen-in ionisation m-CAK wind, with the inclusion of the finite disk correction factor, and find up to 4 singular points, three of the x-type and one attractor-type. The only singular point (and solution passing through) that satisfies the boundary condition at the stellar surface is the standard m-CAK singular point. © 2007 WILEY-VCH Verlag GmbH & Co. KGaA.
format JOUR
author Curé, M.
Rial, D.F.
author_facet Curé, M.
Rial, D.F.
author_sort Curé, M.
title A new numerical method for solving radiation driven winds from hot stars
title_short A new numerical method for solving radiation driven winds from hot stars
title_full A new numerical method for solving radiation driven winds from hot stars
title_fullStr A new numerical method for solving radiation driven winds from hot stars
title_full_unstemmed A new numerical method for solving radiation driven winds from hot stars
title_sort new numerical method for solving radiation driven winds from hot stars
url http://hdl.handle.net/20.500.12110/paper_00046337_v328_n6_p513_Cure
work_keys_str_mv AT curem anewnumericalmethodforsolvingradiationdrivenwindsfromhotstars
AT rialdf anewnumericalmethodforsolvingradiationdrivenwindsfromhotstars
AT curem newnumericalmethodforsolvingradiationdrivenwindsfromhotstars
AT rialdf newnumericalmethodforsolvingradiationdrivenwindsfromhotstars
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