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A new TVD method for advection simulation on 2D unstructured grids
Author(s) -
Hou J.,
Simons F.,
Hinkelmann R.
Publication year - 2012
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.3709
Subject(s) - unstructured grid , advection , flux (metallurgy) , position (finance) , total variation diminishing , polygon mesh , flux limiter , line (geometry) , geometry , computer science , face (sociological concept) , monotonic function , mathematics , grid , mathematical analysis , physics , materials science , thermodynamics , social science , finance , sociology , economics , metallurgy
SUMMARY 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.