Adaptive mesh refinement for gas-kinetic BGK scheme

He Zhang, Chengwen Zhong, Jian Gong, Zhixian Bi, Shuguang Han

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

An adaptive mesh refinement method based on the gas-kinetic BGK (Bhatnagr-Gross-Kroor) scheme is proposed in this paper to improve the accuracy and computational efficiency of gas-kinetic BGK schemes for shock capturing. In the present work, a linked list based on a quadrilateral is applied to describe the topology of the meshes. In the reconstruction stage, the van Leer limiter is introduced to ensure the accuracy of physical quantities reconstruction at the interface between the coarse meshes and the refined meshes. Some cases from transonic airfoil flow (Mach number Ma=0.85), supersonic flow over forward-facing step (Ma=3) to hypersonic flow around a cylinder (Ma=8.03) are presented to verify the adaptive mesh method for the BGK scheme. It is found that the proposed method can greatly improve the computational efficiency without reducing accuracy. The approach provides a numerical technique for the BGK scheme to compute complex flows efficiently.

Original languageEnglish
Pages (from-to)687-694
Number of pages8
JournalHangkong Xuebao/Acta Aeronautica et Astronautica Sinica
Volume35
Issue number3
DOIs
StatePublished - Mar 2014

Keywords

  • Adaptive mesh refinement
  • Airfoil
  • BGK
  • Gas-kinetic scheme
  • Hypersonic flow
  • Quadrilateral mesh

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