Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone

A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbitrary coordinate system on the manifold and involve source terms which account for the curvature of the domain. In order...

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Autores principales:	Ian Holloway, Sivaguru S. Sritharan
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Supersonic conical flow Conservation laws on manifolds Central schemes Elliptic–hyperbolic property Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/c050d64109c24c0aada480c267865621
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spelling	oai:doaj.org-article:c050d64109c24c0aada480c2678656212021-12-01T05:06:07ZNumerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone2666-496810.1016/j.apples.2021.100048https://doaj.org/article/c050d64109c24c0aada480c2678656212021-06-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666496821000145https://doaj.org/toc/2666-4968A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbitrary coordinate system on the manifold and involve source terms which account for the curvature of the domain. In order for a numerical method to accurately capture the behavior of the system it is solving, the equations must be discretized in a way that is not only consistent in value, but also models the appropriate character of the system. Such a discretization is presented in this work which preserves the tensorial transformation relationships involved in formulating equations in a curved space. A numerical method is then developed and applied to the conical Euler and Ideal Magnetohydrodynamic equations. To the authors’ knowledge, this is the first demonstration of a numerical solver for the conical Ideal MHD equations. Along with the curvature of the domain, is the added challenge that both systems of equations are of mixed type. Both systems change between elliptic and hyperbolic type throughout the domain, which had to be accommodated by the numerical method.Ian HollowaySivaguru S. SritharanElsevierarticleSupersonic conical flowConservation laws on manifoldsCentral schemesElliptic–hyperbolic propertyEngineering (General). Civil engineering (General)TA1-2040ENApplications in Engineering Science, Vol 6, Iss , Pp 100048- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Supersonic conical flow Conservation laws on manifolds Central schemes Elliptic–hyperbolic property Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Supersonic conical flow Conservation laws on manifolds Central schemes Elliptic–hyperbolic property Engineering (General). Civil engineering (General) TA1-2040 Ian Holloway Sivaguru S. Sritharan Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
description	A numerical scheme is developed for systems of conservation laws on manifolds which arise in high speed aerodynamics and magneto-aerodynamics. The systems are presented in an arbitrary coordinate system on the manifold and involve source terms which account for the curvature of the domain. In order for a numerical method to accurately capture the behavior of the system it is solving, the equations must be discretized in a way that is not only consistent in value, but also models the appropriate character of the system. Such a discretization is presented in this work which preserves the tensorial transformation relationships involved in formulating equations in a curved space. A numerical method is then developed and applied to the conical Euler and Ideal Magnetohydrodynamic equations. To the authors’ knowledge, this is the first demonstration of a numerical solver for the conical Ideal MHD equations. Along with the curvature of the domain, is the added challenge that both systems of equations are of mixed type. Both systems change between elliptic and hyperbolic type throughout the domain, which had to be accommodated by the numerical method.
format	article
author	Ian Holloway Sivaguru S. Sritharan
author_facet	Ian Holloway Sivaguru S. Sritharan
author_sort	Ian Holloway
title	Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
title_short	Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
title_full	Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
title_fullStr	Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
title_full_unstemmed	Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone
title_sort	numerical solution of compressible euler and magnetohydrodynamic flow past an infinite cone
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/c050d64109c24c0aada480c267865621
work_keys_str_mv	AT ianholloway numericalsolutionofcompressibleeulerandmagnetohydrodynamicflowpastaninfinitecone AT sivagurussritharan numericalsolutionofcompressibleeulerandmagnetohydrodynamicflowpastaninfinitecone
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Numerical solution of compressible Euler and Magnetohydrodynamic flow past an infinite cone

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