An implicit high order finite volume scheme with a posteriori limiting for advection networks | Zendy

Eimer Matthias | Zendy; Borsche Raul | Zendy; Siedow Norbert | Zendy

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An implicit high order finite volume scheme with a posteriori limiting for advection networks

Author(s) -

Eimer Matthias,

Borsche Raul,

Siedow Norbert

Publication year - 2021

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.202000237

Subject(s) - advection , a priori and a posteriori , finite volume method , limiting , scheme (mathematics) , mathematics , regular polygon , order (exchange) , volume (thermodynamics) , statistical physics , mathematical optimization , computer science , mathematical analysis , mechanics , physics , geometry , thermodynamics , engineering , mechanical engineering , philosophy , epistemology , finance , economics

In this paper, we describe an implicit high order finite volume scheme for networks of advection equations. Possible oscillations are eliminated using an a posteriori limiting approach. A continuous transition between the different orders is achieved by a convex combination of the numerical fluxes. The scheme shows accurate results even for large CFL numbers.

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