Immersed boundary techniques for high-order finite-difference methods

D. A. von Terzit, M. N. Linnickf, J. Seidelf, Hermann F Fasel

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

10 Citations (Scopus)

Abstract

The use of immersed boundary techniques for Cartesian grid methods is becoming increasingly popular for predicting flows with complex geometries. It has been demonstrated that for cases where accuracy near immersed boundaries is not crucial, existing methods are sufficiently accurate. However, if near-wall accuracy is paramount, immersed boundary techniques for high-order methods can not be used without corrections. This assertion is corroborated by computing the flow over a backward-facing step at low Reynolds number and for Tollmien-Schlichting waves in a flat-plate boundary layer using second-order and fourth-order finite-difference methods. The immersed boundary technique is extended to the compressible Navier- Stokes equations, and both the compressible and incompressible Navier-Stokes equations are employed to evaluate immersed boundary techniques. In the compressible code, the same difference operator is applied to all derivatives computed, thus more clearly demonstrating the effects of the various corrections for the immersed boundary technique. The methods of Goldstein et al. [1] and Mohd- Yusof [2] serve as prototypical immersed boundary techniques. A correction method is suggested which eliminates the need for ad hoc adjustments and allows for the efficient use of high order finite difference methods. Its performance is compared to other recently published methods.

Original languageEnglish (US)
Title of host publication15th AIAA Computational Fluid Dynamics Conference
StatePublished - 2001
Event15th AIAA Computational Fluid Dynamics Conference 2001 - Anaheim, CA, United States
Duration: Jun 11 2001Jun 14 2001

Other

Other15th AIAA Computational Fluid Dynamics Conference 2001
CountryUnited States
CityAnaheim, CA
Period6/11/016/14/01

Fingerprint

Finite difference method
Navier Stokes equations
Boundary layers
Reynolds number
Derivatives
Geometry

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Energy Engineering and Power Technology
  • Aerospace Engineering
  • Mechanical Engineering

Cite this

von Terzit, D. A., Linnickf, M. N., Seidelf, J., & Fasel, H. F. (2001). Immersed boundary techniques for high-order finite-difference methods. In 15th AIAA Computational Fluid Dynamics Conference

Immersed boundary techniques for high-order finite-difference methods. / von Terzit, D. A.; Linnickf, M. N.; Seidelf, J.; Fasel, Hermann F.

15th AIAA Computational Fluid Dynamics Conference. 2001.

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

von Terzit, DA, Linnickf, MN, Seidelf, J & Fasel, HF 2001, Immersed boundary techniques for high-order finite-difference methods. in 15th AIAA Computational Fluid Dynamics Conference. 15th AIAA Computational Fluid Dynamics Conference 2001, Anaheim, CA, United States, 6/11/01.
von Terzit DA, Linnickf MN, Seidelf J, Fasel HF. Immersed boundary techniques for high-order finite-difference methods. In 15th AIAA Computational Fluid Dynamics Conference. 2001
von Terzit, D. A. ; Linnickf, M. N. ; Seidelf, J. ; Fasel, Hermann F. / Immersed boundary techniques for high-order finite-difference methods. 15th AIAA Computational Fluid Dynamics Conference. 2001.
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