참고문헌
- Trotenberg, U., Oosterlee, C. W., Schuller, A., "Multigrid", Academic Press, 2001.
- Allmaras, S. R., "Multigrid for the 2-D Compressible Navier-Stokes Equations", AIAA-99-3336.
- Mavriplis, D. J. "Multigrid Strategies for Viscous Flow Solvers on Anisotropic Unstructured Meshes", J. Comput. Phys., Vol. 145. 1998, pp.141-165. https://doi.org/10.1006/jcph.1998.6036
- Stuben, K. and Trotenberg, U., "Multigrid Methods : Fundamental Algorithmes, Model Problem Analysis and Applications", Lecture Notes in Math. 960.-Multigrid Methods, 1981, pp.1-176.
- Park, T. S. and Kwon, J. H., "An Improved Multistage Time Stepping for Second-order Upwind TVD Schemes", Computers & Fluids, Vol. 25, No. 7, 1996, pp.629-646. https://doi.org/10.1016/0045-7930(96)00014-X
- Martinelli, L., "Calculations of viscous flows with a multigrid method", Ph. D. Thesis, Princeton Univ., 1987.
- Tai, C. H., "Acceleration Techniques for Explicit Euler Codes", Ph. D. Thesis, Aerospace Eng., University of Michigan (1990).
- 김윤식, 권장혁, 최윤호, "다중 격자 기법을 위한 예조건화된 다단계 시간 전진 기법", 한국항공우주학회지 제29권 제8호, 2001, pp.7-17.
- 김윤식, 권장혁, "다중 격자 Navier-Stokes 해석을 위한 내재적 예조건화 기법의 수렴특성 해석", 한국항공우주학회지 제29권 제7호, 2001, pp.9-20.
- E. Turkel, "Preconditioned Methods for Solving the Incompressible and Low Speed Compressible Equations", J. Comput. Phys. 1987, Vol. 72, pp.277-298. https://doi.org/10.1016/0021-9991(87)90084-2
- Allmaras, S. R., "Analysis of a Local Matrix Preconditioner for the 2-D Navier-Stokes Equations", AIAA-93-3350.
- Allmaras, S. R., "Analysis of Semi-Implicit Preconditioners for Multigrid Solutions of the 2-D Compressible Navier-Stokes Equations", AIAA-95-1651 .
- Beam, R. M and Warming, R.F., "An Implicit Finite-Difference Algorithm for Hyperbolic Systems in Conservation-Law Form", J. Comput. Phys. Vol. 22, 1976, pp.87-110. https://doi.org/10.1016/0021-9991(76)90110-8
- MacCormack, R. W., "A New Implicit Algorithm for Fluid Flow", AIAA-97-2100.
- Allmaras, S. R., "A Coupled Euler/Navier-Stokes Algorithm for 2-D Unsteady Transonic Shock/Boundary-Layer Interaction", Ph. D. Thesis, MIT, 1989.
- 김윤식, 권장혁, "다중 격자 Navier-Stokes 해석을 위한 수렴 특성 연구 : I. 상류 차분 기법", 한국항공우주학회지 제32권 제3호, 2004, pp.1-9.
- Spalart, P. R. and Allmaras, S. R., "A One-Equation Turbulence Model for Aerodynamic Flows", AIAA-92-0439.
- Baldwin, B. S and Lomax, H.,"Thin Layer Approximation and Algebraic Model for Separated Turbulent Flows", AIAA-78-257.
- Briley, W. R. and McDonald, H., "An overview and generalization of implicit Navier-Stokes algorithms and approximate factorization", Computers & Fluids, Vol. 30, 2001, pp.807-828. https://doi.org/10.1016/S0045-7930(01)00030-5
- Venkatakrishnan, V., "Improved Multigrid Performance of Compressible Navier-Stokes Solvers", AIAA-98-2967.
- Mulder, W. A., "Multigrid Relaxation for the Euler Equations", J. Comput. Phys., Vol. 60, 1985, pp.235-252. https://doi.org/10.1016/0021-9991(85)90005-1
- Kim, Y. and Kwon, J. H., "Implicit Preconditioners for the 2-D Multigrid Navier-Stokes Solvers", AIAA-2003-3701.
- McDonald, M. A., Cook, P. H. and Firmin, M. C. O., "Aerofoil RAE2822 pressure distributions, boundary layer and wake measurements", Advisory Report 138-A6, AGARD, 1979.
- Kyle, D. A. and O'Rourke, M. J., "Implementation of Turbulence Models for Shock/Boundary Layer Interaction in Transonic Flow", AIAA-2001-2856.
- Thompkins, W. T. and Bush, R. H., "Boundary Treatments for Implicit Solutions to Euler and Navier-Stokes Equations", J. Comput. Phys., Vol. 48, 1982, pp.302-311. https://doi.org/10.1016/0021-9991(82)90052-3
- McCroskey, W. J.,"A Critical Assessment of Wind Tunnel Results for the NACA 0012 Airfoil", AGARD CP-429, July 1988.