Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition

Many interesting physical systems are successfully modeled with time-dependant conservation laws on smooth manifolds, M. Examples of such systems include hydrodynamic flows in non-trivial geometry, important in aerodynamic modeling. Though in many applications the manifold is simply Euclidean space...

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Huvudupphovsmän:	Rahaman, Moshiour, Azim, Nur Hossain Md. Ariful
Materialtyp:	Artikel
Språk:	English
Publicerad:	BRAC University 2010
Ämnen:	Finite volume Conservation Manifold Flux Wave equations
Länkar:	http://hdl.handle.net/10361/572

id	10361-572
record_format	dspace
spelling	10361-5722019-09-29T05:46:47Z Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition Rahaman, Moshiour Azim, Nur Hossain Md. Ariful Finite volume Conservation Manifold Flux Wave equations Many interesting physical systems are successfully modeled with time-dependant conservation laws on smooth manifolds, M. Examples of such systems include hydrodynamic flows in non-trivial geometry, important in aerodynamic modeling. Though in many applications the manifold is simply Euclidean space;M = ∇3, the curvilinear basis on which computes is non-orthogonal and quite complicated. The finite volume methods have very important property of ensuring that basic quantities such as mass, momentum and energy are conserved at a discrete level. Conservation is satisfied over each control volume, over a group of control volumes and over the entire solutiondomain. The finite volume methods are used to solve conservation laws on Euclidean manifold. 2010-10-19T07:56:02Z 2010-10-19T07:56:02Z 2006 Article http://hdl.handle.net/10361/572 en BRAC University Journal, BRAC University;Vol.3. No. 2 pp. 59-65 application/pdf BRAC University
institution	Brac University
collection	Institutional Repository
language	English
topic	Finite volume Conservation Manifold Flux Wave equations
spellingShingle	Finite volume Conservation Manifold Flux Wave equations Rahaman, Moshiour Azim, Nur Hossain Md. Ariful Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
description	Many interesting physical systems are successfully modeled with time-dependant conservation laws on smooth manifolds, M. Examples of such systems include hydrodynamic flows in non-trivial geometry, important in aerodynamic modeling. Though in many applications the manifold is simply Euclidean space;M = ∇3, the curvilinear basis on which computes is non-orthogonal and quite complicated. The finite volume methods have very important property of ensuring that basic quantities such as mass, momentum and energy are conserved at a discrete level. Conservation is satisfied over each control volume, over a group of control volumes and over the entire solutiondomain. The finite volume methods are used to solve conservation laws on Euclidean manifold.
format	Article
author	Rahaman, Moshiour Azim, Nur Hossain Md. Ariful
author_facet	Rahaman, Moshiour Azim, Nur Hossain Md. Ariful
author_sort	Rahaman, Moshiour
title	Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
title_short	Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
title_full	Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
title_fullStr	Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
title_full_unstemmed	Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
title_sort	finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition
publisher	BRAC University
publishDate	2010
url	http://hdl.handle.net/10361/572
work_keys_str_mv	AT rahamanmoshiour finitevolumemethodsforsolvinghyperbolicproblemsoneuclideanmanifoldswithoutradiallysymmetricinitialcondition AT azimnurhossainmdariful finitevolumemethodsforsolvinghyperbolicproblemsoneuclideanmanifoldswithoutradiallysymmetricinitialcondition
_version_	1814309329376903168

Finite volume methods for solving hyperbolic problems on euclidean manifolds without radially symmetric initial condition

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