Use of characteristic-based flux limiters in a pressure-based unstructured-grid algorithm incorporating high-resolution schemes

Yeng-Yung Tsui*, Tian Cherng Wu

*Corresponding author for this work

Research output: Contribution to journalArticle

13 Scopus citations

Abstract

A pressure-based procedure to solve problems ranging from incompressible to highly compressible flows is described. The method adopts the fully conservative finite-volume approach, for which the meshes can be of any topology. To handle the sharp change of the gradient in the regions near the shock or the solid wall, the convective flux is limited using high-resolution schemes such as the total variation diminishing (TVD) or the normalized variable diagram (NVD) scheme. The flux limiters are determined from the characteristic variables instead of the commonly used primitive or conservative variables. To enhance solution accuracy, the gradient is calculated using a linear reconstruction approach. The method is assessed and validated via testing on a number of flow problems, including inviscid flows through a convergent-divergent nozzle, inviscid and viscous flows past an airfoil, and viscous flows through a double-throat nozzle.

Original languageEnglish
Pages (from-to)14-34
Number of pages21
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume55
Issue number1
DOIs
StatePublished - 1 Jan 2009

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