Title: A technical note on stability analysis of the composite high-resolution schemes satisfying convective boundedness criteria

Authors: Wang Li; Bo Yu; Yi Wang; Xin-ran Wang; Jinjia Wei; Wenquan Tao

Addresses: Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, China ' Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, China ' Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, China ' Beijing Key Laboratory of Urban Oil and Gas Distribution Technology, China University of Petroleum, Beijing, 102249, China ' Key Laboratory of Thermo-Fluid Science and Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China ' Key Laboratory of Thermo-Fluid Science and Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China

Abstract: Since high-resolution (HR) schemes constructed in the region of convective boundedness criteria can produce a solution of both boundedness and high-order accuracy, they have been used more and more in computational fluid dynamics. However, no stability analysis has been made in literature for the composite HR schemes satisfying the convective boundedness criteria. In this paper, we analyse the stability of the composite HR schemes to enrich our understandings on this kind of promising schemes and also verify our analyses by a number of numerical examples.

Keywords: composite schemes; high resolution schemes; stability analysis; convective boundedness criteria; computational fluid dynamics; CFD.

DOI: 10.1504/PCFD.2013.057098

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.6, pp.357 - 367

Available online: 08 Oct 2013

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