NDLI: Central Runge--Kutta Schemes for Conservation Laws

Content Provider	Society for Industrial and Applied Mathematics (SIAM)
Author	Puppo, Gabriella Russo, Giovanni Pareschi, Lorenzo
Copyright Year	2005
Abstract	In this work, a new formulation for central schemes based on staggered grids is proposed. It is based on a novel approach in which first a time discretization is carried out, followed by the space discretization. The schemes obtained in this fashion have a simpler structure than previous central schemes. For high order schemes, this simplification results in higher computational efficiency. In this work, schemes of order 2 to 5 are proposed and tested, although central Runge--Kutta schemes of any order of accuracy can be constructed in principle. The application to systems of equations is carefully studied, comparing algorithms based on a componentwise extension of the scalar scheme with those based on projection along characteristic directions.
Starting Page	979
Ending Page	999
Page Count	21
File Format	PDF
ISSN	10648275
DOI	10.1137/S1064827503420696
e-ISSN	10957197
Issue Number	3
Volume Number	26
Language	English
Publisher	Society for Industrial and Applied Mathematics
Publisher Date	2006-07-25
Access Restriction	Subscribed
Subject Keyword	high order accuracy Multistep, Runge-Kutta and extrapolation methods hyperbolic systems central difference schemes Runge--Kutta methods Nonlinear first-order hyperbolic equations WENO reconstruction Finite volume methods Finite difference methods
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Computational Mathematics

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