General higher order extension to the Quiet Direct Simulation method

Y. J. Lin, M. R. Smith, H. M. Cave, J. C. Huang, J. S. Wu

研究成果: Conference contribution

摘要

Presented is the multi-dimensional extension of the Quiet Direct Simulation (QDS) method to general, higher order spatial accuracy. Due to the true directional nature of QDS, where volume-to-volume fluxes are computed as opposed to fluxes at cell interfaces, a volumetric reconstruction is required. In this approach, the conserved quantities are permitted to vary (according to a polynomial expression) across all simulated dimensions. Prior to flux computation, QDS particles are introduced using properties based on weighted moments taken over the polynomial reconstruction of conserved quantity fields. The resulting flux expressions are shown to exactly reproduce existing 2 nd order extensions (for one-dimensional flows) while providing means for true multi-dimensional reconstruction and general higher order extensions. Here we will show a typical comparison among different spatial order extensions of QDS and other WENO (5th order accurate) based numerical scheme. The extension is demonstrated up to 5th order spatial accuracy and is shown to be comparable to or more accurate than the other higher order schemes.

原文English
主出版物標題27th International Symposium on Rarefied Gas Dynamics - 2010, RGD27
頁面1010-1015
頁數6
版本PART 1
DOIs
出版狀態Published - 2011
事件27th International Symposium on Rarefied Gas Dynamics, RGD27 - Pacific Grove, CA, United States
持續時間: 2011 7月 102011 7月 15

出版系列

名字AIP Conference Proceedings
號碼PART 1
1333
ISSN(列印)0094-243X
ISSN(電子)1551-7616

Other

Other27th International Symposium on Rarefied Gas Dynamics, RGD27
國家/地區United States
城市Pacific Grove, CA
期間11-07-1011-07-15

All Science Journal Classification (ASJC) codes

  • 物理與天文學 (全部)

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