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A new TVD method for advection simulation on 2D unstructured grids

Lookup NU author(s): Dr Jingming Hou

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Abstract

For advection schemes with flux limiters derived on one-dimensional grids to two-dimensional (2D) unstructured triangular ones. In this method, the variables located normal to this face are taken into more account to compute the flux, by means of defining required nodes along the line through the center point of the considered face and perpendicular to it. Besides, the new method adopts the improved total variation diminishing schemes in, which consider the face position between the two neighboring cells as well as the size differences of the related cells; therefore, it fits 2D unstructured grids well. Compared with the present flux limiting methods for 2D unstructured grids, a higher accuracy and efficiency and a good monotonicity are achieved by the new method.Copyright © 2012 John Wiley & Sons, Ltd.


Publication metadata

Author(s): Hou J, Simons F, Hinkelmann R

Publication type: Article

Publication status: Published

Journal: International Journal for Numerical Methods in Fluids

Year: 2012

Volume: 71

Issue: 10

Pages: 1260-1281

Print publication date: 24/07/2012

ISSN (print): 0271-2091

ISSN (electronic): 1097-0363

Publisher: John Wiley & Sons Ltd.

URL: http://dx.doi.org/10.1002/fld.3709

DOI: 10.1002/fld.3709


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