Immersed Boundary Method for Compressible Turbulent Flow Computations in Building-Cube Method

An immersed boundary method coupled with the gridless method is developed for solving the compressible Navier-Stokes equations using a block-structured Cartesian grid method named Building-Cube Method(BCM). To improve the efficiency and accuracy in case of high-Reynolds number flow, wall function is applied to the governing equations to model a thin boundary layer near the wall. It is tested for laminar to turbulent flow in two dimensional cases to validate the capability for aeronautical applications.

[1]  Kazuhiro Nakahashi,et al.  High-Density Mesh Flow Computations with Pre-/Post-Data Compressions , 2005 .

[2]  Kazuhiro Nakahashi,et al.  Direct Surface Triangulation Using Stereolithography Data , 2002 .

[3]  Zhi J. Wang,et al.  Evaluation of discontinuous Galerkin and spectral volume methods for scalar and system conservation laws on unstructured grids , 2004 .

[4]  Zhi J. Wang,et al.  Spectral (Finite) Volume Method for Conservation Laws on Unstructured Grids. Basic Formulation , 2002 .

[5]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[6]  M. Berger,et al.  Progress Towards a Cartesian Cut-Cell Method for Viscous Compressible Flow , 2012 .

[7]  S. Obayashi,et al.  Convergence acceleration of a Navier-Stokes solver for efficient static aeroelastic computations , 1995 .

[8]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[9]  Kazuhiro Nakahashi,et al.  Building-Cube Method for Flow Problems with Broadband Characteristic Length , 2003 .

[10]  M. Berger,et al.  Robust and efficient Cartesian mesh generation for component-based geometry , 1998 .

[11]  Toshihiro Kamatsuchi,et al.  Turbulent Flow Simulation around Complex Geometries with Cartesian Grid Method , 2007 .

[12]  Kazuhiro Nakahashi,et al.  Efficient and Robust Cartesian Mesh Generation for Building-Cube Method , 2008 .

[13]  Kazuhiro Nakahashi,et al.  Surface triangulation for polygonal models based on CAD data , 2002 .

[14]  Rainald Löhner,et al.  A hybrid Cartesian grid and gridless method for compressible flows , 2005, J. Comput. Phys..

[15]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[16]  M. Aftosmis.  Solution adaptive cartesian grid methods for aerodynamic flows with complex geometries , 1997 .

[17]  C. Peskin.  The immersed boundary method , 2002, Acta Numerica.

[18]  Steven M. Klausmeyer,et al.  Comparative Results From a CFD Challenge Over a 2D Three-Element High-Lift Airfoil , 1997 .

[19]  John T. Batina,et al.  A gridless Euler/Navier-Stokes solution algorithm for complex-aircraft applications , 1993 .