Preconditioned implicit flux-splitting scheme and its application to thermal-fluid convections

Satoru Yamamoto, Daisuke Niiyama, Byeong Rog Shin

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


An implicit preconditioning method based on the so-called preconditioning method proposed by Weiss and Smith for solving very low-Mach-number flows and the higher-order finite-difference method developed by the authors for solving transonic viscous flows is presented. Especially, an implicit flux-splitting form in general curvilinear coordinates is newly introduced in this paper. This form is applicable not only to the flux-difference splitting in Roe's Riemann solver but also to the implicit fluxes in the LU-SGS scheme. Very low-Mach-number flows around NACA0012 airfoil are calculated to validate the numerical accuracy of the present method and a natural convection around a cylinder is calculated to compare the results with the experiments.

Original languageEnglish
Pages (from-to)274-279
Number of pages6
JournalNippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B
Issue number678
Publication statusPublished - 2003 Feb


  • CFD
  • Numerical method
  • Preconditioning method
  • Thermal-fluid convection

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Mechanical Engineering


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