Progress in Computational Fluid Dynamics, An Int. J.   »   2013 Vol.13, No.6

 

 

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 Int. J., 2013 Vol.13, No.6, pp.357 - 367

 

Available online: 08 Oct 2013

 

 

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