Extension of the Complete Flux Scheme to Time-Dependent Conservation Laws

J. H. M. ten Thije Boonkkamp () and M. J. H. Anthonissen ()
Additional contact information
J. H. M. ten Thije Boonkkamp: Eindhoven University of Technology, Department of Mathematics and Computer Science
M. J. H. Anthonissen: Eindhoven University of Technology, Department of Mathematics and Computer Science

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 865-873 from Springer

Abstract: Abstract We present the stationary and transient complete flux schemes for the advection-diffusion-reaction equation. In the first scheme, the numerical flux is derived from a local BVP for the stationary equation. The transient scheme is an extension, since it includes the time derivative in the flux computation. The resulting semidiscretization is an implicit ODE system, which has much smaller dissipation and dispersion errors than the semidiscretization based on the stationary flux, at least for smooth problems. Both schemes are validated for a test problem.

Keywords: Boundary Value Problem; Phase Error; Time Integration Method; Midpoint Rule; Dispersion Error (search for similar items in EconPapers)
Date: 2010
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_93

Ordering information: This item can be ordered from
http://www.springer.com/9783642117954

DOI: 10.1007/978-3-642-11795-4_93

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().