An overlapped grid technique for high resolution CAA schemes for complex geometries

A high order/high resolution grid communication algorithm was developed for use in combination with the high resolution DRP scheme of Tarn and Webb. In order to establish this grid communication a special high order, though straight forward interpolation scheme is employed at the interfaces between two curvilinear grids of arbitrary shape. The interpolation procedure is local and shows excellent spectral characteristics such that for a given resolution the application range of the DRP-scheme is not narrowed. Twodimensional tests have been done of which may be concluded that the method is robust since additional time step limitations or numerical instabilities have not been observed. A reliable grid overlap detector algorithm for high order metric representation was developed and tested, which is capable of identifying points inside and outside arbitrarily curved domains and subdomains. Geometric information is needed only on the surface of the domains such that their interior does not need to be meshed. Benchmark examples are presented to show the validity of the approach.

[1]  Jan Werner Delfs,et al.  Leading edge noise studies using CAA , 1999 .

[2]  Jianping Yin,et al.  Prediction of noise from interaction of vorticity with airfoils using CAA , 2000 .

[3]  C. Tam,et al.  A Study of the Short Wave Components in Computational Acoustics , 1993 .

[4]  Jianping Yin,et al.  Sound Generation from Gust-Airfoil Interaction Using CAA-Chimera Method , 2001 .

[5]  Christopher K. W. Tam,et al.  Cartesian Boundary Treatment of Curved Walls for High-Order Computational Aeroacoustics Schemes , 1997 .

[6]  J. Williams,et al.  Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane , 1970, Journal of Fluid Mechanics.

[7]  J. Delfs.  SWING - A German research initiative into the computation of airframe noise , 1999 .

[8]  Kiyoshi Nagakura,et al.  Airframe Noise Studies on Wings with Deployed High Lift Devices , 1998 .

[9]  Wolfgang Nitsche,et al.  New Results in Numerical and Experimental Fluid Mechanics , 1999 .

[10]  C. Tam,et al.  Dispersion-relation-preserving finite difference schemes for computational acoustics , 1993 .

[11]  J. Delfs,et al.  CAA-Simulation of aeroacoustic sources on overlapped grids , 2000 .

[12]  Christopher K. W. Tam,et al.  Wall boundary conditions for high-order finite-difference schemes in computational aeroacoustics , 1994 .

[13]  Jacek Rokicki,et al.  Higher-Order Unstructured Domain Decomposition Method for Navier–Stokes Equations , 1999 .

[14]  Ulf Michel,et al.  Flyover Noise Measurements on Landing Aircraft with a Microphone Array , 1998 .

[15]  W. Henshaw,et al.  Composite overlapping meshes for the solution of partial differential equations , 1990 .

[16]  R. Hixon,et al.  Evaluation of Generalized Curvilinear Coordinate Transformations Applied to High-Accuracy Finite-Difference Schemes , 1998 .

[17]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[18]  Ralf Heinrich,et al.  Numerical Simulation of Three-Dimensional Flows Using the Chimera-Technique , 1999 .

[19]  J. Benek,et al.  A flexible grid embedding technique with application to the Euler equations , 1983 .