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A Robust and Accurate LED-BGK Solver on Unstructured Adaptive Meshes

Cited 22 time in Web of Science Cited 27 time in Scopus
Authors
Kim, Chongam; Jameson, Antony
Issue Date
1998-01
Publisher
Elsevier
Citation
J. Comput. Phys. 143, 598 (1998)
Keywords
LED (local extremum diminishing) interpolationBGK-based gas kinetic schemeunstructured mesh-based flow solverh-refinement mesh adaptation
Abstract
Starting from the BGK model of the Boltzmann equation, we develop a robust and accurate finite volume gas kinetic scheme on unstructured triangular meshes. The proposed numerical approach is composed of two steps—an initial reconstruction step and a gas evolution step. In the initial reconstruction step, an unstructured version of the local extremum diminishing interpolation is applied to the conservative variables and to compute left and right states along a node edge. In the gas evolution step, the local integral solution of the BGK model is used to compute numerical fluxes at a cell interface. This approach provides an alternative to Riemann solvers and yields numerical schemes which possess many desirable properties that may not be found in Godunov-type schemes. A classic h-refinement adaptive procedure is implemented to increase the spatial resolution of high-speed unsteady flow characteristics such as shock waves, contact discontinuities, or expansion waves with minimal computational costs and memory overheads. This procedure involves mesh enrichment/coarsening steps to either insert nodes on an edge center in high-gradient regions or delete nodes in over-resolved regions. Numerical results of several test cases for unsteady compressible inviscid flows are presented. In order to verify the accuracy and robustness of the current numerical approach, the computed results are compared with analytical solutions, experimental data, the results of structured mesh calculations, and the results obtained by widely used flux splitting methods.
ISSN
0021-9991
Language
English
URI
https://hdl.handle.net/10371/6886
DOI
https://doi.org/10.1006/jcph.1998.5973
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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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