References
- Carpenter , M. , Gottlieb , D. and Abarbanel , S. 1993 . The stability of numerical boundary treatments for compact high-order finite-difference schemes . Journal of Computational Physics , 108 : 272 – 295 .
- De Boor , C. 2001 . A practical guide to splines. Revised ed , New York : Springer-Verlag .
- Deng , X. 2010 . Extending weighted compact nonlinear schemes to complex grids with characteristic-based interface conditions . AIAA Journal , 48 : 2840 – 2851 .
- Desquesnes , G. 2006 . On the use of a high order overlapping grid method for coupling in CFD/CAA . Journal of Computational Physics , 220 : 355 – 382 .
- Gaitonde , D. and Visbal , M. 2000 . Padé-type higher-order boundary filters for the Navier–Stokes equations . AIAA Journal , 38 : 2103 – 2112 .
- Kim , J. 2007 . Optimized boundary compact finite difference schemes for computational aeroacoustics . Journal of Computational Physics , 225 : 995 – 1019 .
- Kim , J. and Lee , D. 2000 . Generalized characteristic boundary conditions for computational aeroacoustics . AIAA Journal , 38 : 2040 – 2049 .
- Kim , J. and Lee , D. 2003 . Characteristic interface conditions for multiblock high-order computation on singular structured grid . AIAA Journal , 41 : 2341 – 2348 .
- Kim , J. and Lee , D. 2004 . Generalized characteristic boundary conditions for computational aeroacoustics, part 2 . AIAA Journal , 42 : 47 – 55 .
- Le Garrec , T. and Gloerfelt , X. Multi-size-mesh, multi-time-step algorithm for noise computation around an airfoil in curvilinear meshes . AIAA paper 2007-3504 .
- Lele , S. 1992 . Compact finite difference schemes with spectral-like resolution . Journal of Computational Physics , 103 : 16 – 42 .
- Runge , C. 1901 . Über empirische funktionen und die interpolation zwischen äquidistanten ordinaten . Zeitschrift für Mathematik und Physik , 46 : 224 – 243 .
- Sandberg , R. and Sandham , N. 2006 . Nonreflecting zonal characteristic boundary condition for direct numerical simulation of aerodynamic sound . AIAA Journal , 44 : 402 – 405 .
- Schlichting , H. and Gersten , K. 2000 . Boundary layer theory , Eighth revised and enlarged ed , 18 – 24 . Berlin : Springer-Verlag .
- Sherer , S. and Scott , J. 2005 . High-order compact finite-difference methods on general overset grids . Journal of Computational Physics , 210 : 459 – 496 .
- Stanescu , D. and Habashi , W. 1998 . 2N-storage low dissipation and dispersion Runge–Kutta schemes for computational acoustics . Journal of Computational Physics , 143 : 674 – 681 .
- Sumi , T. , Kurotaki , T. and Hiyama , J. 2007 . Generalized characteristic interface conditions for high-order multi-block computation . International Journal of Computational Fluid Dynamics , 21 : 335 – 350 .
- Sumi , T. , Kurotaki , T. and Hiyama , J. Generalized characteristic interface conditions with high-order interpolation method . AIAA Paper 2008–752 .
- Tam , C. and Kurbatskii , K. 2000 . Microfluid dynamics and acoustics of resonant liners . AIAA Journal , 38 : 1331 – 1339 .
- Visbal , M. and Gaitonde , D. 2002 . On the use of higher-order finite-difference schemes on curvilinear and deforming meshes . Journal of Computational Physics , 181 : 155 – 185 .
- Williamson , C. 1996 . Three-dimensional wake transition . Journal of Fluid Mechanics , 328 : 345 – 407 .