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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.