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BGK-Based Schemes for the Simulation of Compressible Flow

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Authors
Xu, K.; Kim, C.; Martinelli, L.; Jameson, A.
Issue Date
1996-10
Publisher
Taylor & Francis
Citation
Int. J. Com. Fluids Dynam. 7, 213.
Keywords
Characteristic reconstructionBGK-type flow solvercompressible flowsentropy and positivity conditions
Abstract
Following van Leer's MUSCL idea, a numerical scheme can be regarded as consisting of two key steps: a reconstruction step followed by a gas evolution step. We present a gas-kinetic method based on the collisional BGK model which provides an alternative to Riemann solvers for the gas evolution step. An advanced BGK-scheme is derived under quite general assumptions on the initial conditions. The new formulation uses interpolation of the characteristic variables in the reconstruction step and a BGK-type flow solver in the gas evolution step. The scheme satisfies both an entropy condition and a positivity condition, which guarantees a positive density and temperature at the cell interface during a complete time step. Numerical results for one-dimensional and two-dimensional test cases are presented to show the accuracy and robustness of the proposed approach.
ISSN
1061-8562
Language
English
URI
http://hdl.handle.net/10371/6847
DOI
https://doi.org/10.1080/10618569608940763
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College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Mechanical Aerospace Engineering (기계항공공학부)Journal Papers (저널논문_기계항공공학부)
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