Development of Delaunay-based adaptation methods for compressible flows on unstructured meshes

Yong Zhao, Hai Huang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

The difference between the computed solutions and the exact solutions results from the errors due to the finite precision arithmetic and the truncation error. Both of these errors are the functions of the spacing between discrete points. To minimize these errors, it is often necessary to adapt a given computational mesh for a specific numerical problem. A new solution adaptive criterion is developed in the present study for the solution of computing compressible flows on unstructured meshes. The characteristics and performances of the new criterion are compared with a modified Mitty's adaptive criterion. The Euler equations are discretised by three kinds of third-order TVD schemes for the convection term, which are explicitly solved by a five-stage Runge-Kutta scheme. The focus of present study is to develop a general form of solution adaptive criterion and the refinement and de-refinement procedure for coarse initial meshes to obtain accurate solution. Results are presented for inviscid two-dimensional circular cylinder flow, compression ramp flow, supersonic bump channel flow and transonic bump channel flow, as well as three-dimensional intake flow.

Original languageEnglish
Title of host publicationNumerical Developments in CFD
PublisherASME
Volume20
Publication statusPublished - 1997
Externally publishedYes
EventProceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24) - Vancouver, Can
Duration: Jun 22 1997Jun 26 1997

Other

OtherProceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24)
CityVancouver, Can
Period6/22/976/26/97

Fingerprint

Compressible flow
Channel flow
Supersonic flow
Euler equations
Circular cylinders

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Zhao, Y., & Huang, H. (1997). Development of Delaunay-based adaptation methods for compressible flows on unstructured meshes. In Numerical Developments in CFD (Vol. 20). ASME.

Development of Delaunay-based adaptation methods for compressible flows on unstructured meshes. / Zhao, Yong; Huang, Hai.

Numerical Developments in CFD. Vol. 20 ASME, 1997.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Zhao, Y & Huang, H 1997, Development of Delaunay-based adaptation methods for compressible flows on unstructured meshes. in Numerical Developments in CFD. vol. 20, ASME, Proceedings of the 1997 ASME Fluids Engineering Division Summer Meeting, FEDSM'97. Part 24 (of 24), Vancouver, Can, 6/22/97.
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