A higher-order immersed boundary method for viscous compressible flows

Christoph Brehm, Christoph Hader, Hermann F Fasel

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

Abstract

A higher-order immersed boundary method is presented for solving the compressible Navier-Stokes equations applying viscous wall boundary conditions for the immersed geometry. The irregular finite difference stencil in the vicinity of the immersed boundary is stabilized by locally applying a constraint for the stencil coeffcients. This idea is borrowed from the method initially developed by Brehm and Fasel1 for the advection step in the projection method used to solve the incompressible Navier-Stokes equations. The extension of this method involves an optimization procedure of the immersed boundary stencil considering the linearized fully coupled system of equations. immersed scheme confirm that a stable immersed boundary treatment is achieved. The method of manufactured solutions is used to study the error convergence properties of the immersed boundary scheme. Validation cases demonstrate the accuracy of the scheme for steady/unsteady 2D/3D test cases. Finally, the method is used to simulate subsonic ows past a cylinder and sphere, a hypersonic Mach 6 boundary layer ow over a porous wall and subsonic boundary layer ow over a three-dimensional roughness element.

Original languageEnglish (US)
Title of host publicationAIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference
PublisherAmerican Institute of Aeronautics and Astronautics Inc.
ISBN (Print)9781624102936
StatePublished - 2014
EventAIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference 2014 - Atlanta, GA, United States
Duration: Jun 16 2014Jun 20 2014

Other

OtherAIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference 2014
CountryUnited States
CityAtlanta, GA
Period6/16/146/20/14

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Compressible flow
Navier Stokes equations
Boundary layers
Hypersonic aerodynamics
Advection
Mach number
Surface roughness
Boundary conditions
Geometry

ASJC Scopus subject areas

  • Aerospace Engineering
  • Mechanical Engineering

Cite this

Brehm, C., Hader, C., & Fasel, H. F. (2014). A higher-order immersed boundary method for viscous compressible flows. In AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference American Institute of Aeronautics and Astronautics Inc..

A higher-order immersed boundary method for viscous compressible flows. / Brehm, Christoph; Hader, Christoph; Fasel, Hermann F.

AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics Inc., 2014.

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

Brehm, C, Hader, C & Fasel, HF 2014, A higher-order immersed boundary method for viscous compressible flows. in AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics Inc., AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference 2014, Atlanta, GA, United States, 6/16/14.
Brehm C, Hader C, Fasel HF. A higher-order immersed boundary method for viscous compressible flows. In AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics Inc. 2014
Brehm, Christoph ; Hader, Christoph ; Fasel, Hermann F. / A higher-order immersed boundary method for viscous compressible flows. AIAA AVIATION 2014 -7th AIAA Theoretical Fluid Mechanics Conference. American Institute of Aeronautics and Astronautics Inc., 2014.
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