Smoothly limited finite-volume modelling of rapidly varying river flows

T. Krámer, J. Józsa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The Barth-Jespersen (BJ) reconstruction procedure is a well established method to provide oscillation-free, higher-order accuracy to Godunov-type schemes on general unstructured meshes. Their scalar limiter is, however, known to suffer from poor convergence to steady-state with nonsmooth solutions, such as those that occur in rapidly varying river flows. In order to improve convergence, a general smoothing procedure applicable to unstructured limiters is introduced in this paper. In essence, the reconstruction gradually reverts to unlimited gradients for small oscillations in the solution thus reducing the adverse interaction between the limiter and numerical noise. Popular limiters - minmod superbee, van Leer and van Albada - are also brought to the same BJ formulation so as to suit them to general unstructured meshes and smoothing. The advantage of the new, smoothed BJ limiter is demonstrated by solving a steady, two-dimensional transcritical channel flow problem.

Original languageEnglish
Title of host publicationProceedings of the International Conference on Fluvial Hydraulics - River Flow 2006
Pages219-226
Number of pages8
Volume1
Publication statusPublished - 2006
EventInternational Conference on Fluvial Hydraulics - River Flow 2006 - Lisbon, Portugal
Duration: Sep 6 2006Sep 8 2006

Other

OtherInternational Conference on Fluvial Hydraulics - River Flow 2006
CountryPortugal
CityLisbon
Period9/6/069/8/06

Fingerprint

smoothing
river flow
oscillation
two-dimensional flow
channel flow
modeling
method

ASJC Scopus subject areas

  • Water Science and Technology

Cite this

Krámer, T., & Józsa, J. (2006). Smoothly limited finite-volume modelling of rapidly varying river flows. In Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006 (Vol. 1, pp. 219-226)

Smoothly limited finite-volume modelling of rapidly varying river flows. / Krámer, T.; Józsa, J.

Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006. Vol. 1 2006. p. 219-226.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Krámer, T & Józsa, J 2006, Smoothly limited finite-volume modelling of rapidly varying river flows. in Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006. vol. 1, pp. 219-226, International Conference on Fluvial Hydraulics - River Flow 2006, Lisbon, Portugal, 9/6/06.
Krámer T, Józsa J. Smoothly limited finite-volume modelling of rapidly varying river flows. In Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006. Vol. 1. 2006. p. 219-226
Krámer, T. ; Józsa, J. / Smoothly limited finite-volume modelling of rapidly varying river flows. Proceedings of the International Conference on Fluvial Hydraulics - River Flow 2006. Vol. 1 2006. pp. 219-226
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