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A Consistent Characteristic Boundary Condition for General Fluid Mixture and Its Implementation in a Preconditioning Scheme

Published online by Cambridge University Press:  03 June 2015

Hua-Guang Li,
Nan Zong,
Xi-Yun Lu and
Vigor Yang
Hua-Guang Li*
Affiliation:
Department of Modern Mechanics, The University of Science and Technology of China, Hefei, Anhui 230026, ChinaSchool of Aerospace Engineering, The Georgia Institute of Technology, Atlanta, GA 30332, USA
Nan Zong*
Affiliation:
Department of Mechanical and Nuclear Engineering, The Pennsylvania State University, University Park, PA 16802, USA
Xi-Yun Lu*
Affiliation:
Department of Modern Mechanics, The University of Science and Technology of China, Hefei, Anhui 230026, China
Vigor Yang*
Affiliation:
School of Aerospace Engineering, The Georgia Institute of Technology, Atlanta, GA 30332, USA
*
Email: lhg@mail.ustc.edu.cn
Email: zongnan@gmail.com
Email: xlu@ustc.edu.cn
Corresponding author. URL: http://soliton.ae.gatech.edu/people/vigor.yang/. Email: vigor.yang@aerospace.gatech.edu
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Abstract

Characteristic boundary conditions that are capable of handling general fluid mixtures flow at all flow speeds are developed. The formulation is based on fundamental thermodynamics theories incorporated into an efficient preconditioning scheme in a unified manner. Local one-dimensional inviscid (LODI) relations compatible to the preconditioning system are proposed to obtain information carried by incoming characteristic waves at boundaries accurately. The approach has been validated against a variety of sample problems at a broad range of fluid states and flow speeds. Both acoustic waves and hydrodynamic flow features can pass through the boundaries of computational domain transparently without any un-physical reflection or spurious distortion. The approach can be reliably applied to fluid flows at extensive thermodynamic states and flow speeds in numerical simulations. Moreover, the use of the boundary condition shows to improve the computational efficiency.

Keywords

65M1078A48Real-fluidpreconditioning methodmethod of characteristicsLODI relations

Information

Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 1 , February 2012, pp. 72 - 92
Copyright
Copyright © Global-Science Press 2012

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