Near-wall modification of spalart-allmaras turbulence model for immersed boundary method

Yoshihara Tamaki, Motoshi Harada, Taro Imamura

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

Abstract

An improved immersed boundary method for turbulent flow simulation on a Cartesian grid is proposed. To determine proper boundary conditions, the near-wall approximation of the mean-flow equation and the Spalart-Allmaras turbulence model are discussed. Then, a manufactured near-wall velocity profile is derived, which is linear with respect to the distance from the wall and which can be resolved by a numerical scheme with second-order spatial accuracy. Corresponding to the modification for the velocity, the eddy-viscosity profile is also altered to maintain the balance of the shear stress. To obtain the manufactured profile as a numerical solution, the immersed boundary method and the damping function in the Spalart-Allmaras turbulence model is modified. Verification cases based on the NASA turbulence modeling resource are conducted. The results with the modified immersed boundary method show close agreement with the reference results with body-fitted grids. Finally, a transonic flow around the NASA common-research model is simulated to show the capability of the modified immersed boundary method for three-dimensional problems.

Original languageEnglish
Title of host publication46th AIAA Fluid Dynamics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc, AIAA
ISBN (Print)9781624104367
DOIs
Publication statusPublished - 2016
Event46th AIAA Fluid Dynamics Conference, 2016 - Washington, United States
Duration: 2016 Jun 132016 Jun 17

Publication series

Name46th AIAA Fluid Dynamics Conference

Conference

Conference46th AIAA Fluid Dynamics Conference, 2016
CountryUnited States
CityWashington
Period16/6/1316/6/17

ASJC Scopus subject areas

  • Engineering (miscellaneous)
  • Aerospace Engineering

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