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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Autori principali: Rahaman, Moshiour, Azim, Nur Hossain Md. Ariful
Natura: Articolo
Lingua:English
Pubblicazione: BRAC University 2010
Soggetti:
Accesso online:http://hdl.handle.net/10361/572
Descrizione
Riassunto: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.