10 参考文献

参考文献

[1] Roache PJ. Quantification of uncertainty in computational fluid dynamics. Ann Rev Fluid Mech 1997;29:123-60.

题名中译：计算流体动力学中的不确定性量化。

[2] AIAA. Guide for the verification and validation of computational fluid dynamics simulations. AIAA G-077-1998(2002); 1998 and 2002.

题名中译：计算流体动力学模拟数值验证与物理确认指南。

[3] De Vahl DG. Natural convection of air in a square cavity: a bench mark numerical solution. Int J Num Method Fluids 1983;3:249-64.

题名中译：方腔内空气自然对流：基准数值解。

[4] Cranck J, Nicholson P. A practical method for numerical evaluation of solutions of partial differential equations of the heat conduction type. Proc Camb Philos Soc 1947;43:50-67.

题名中译：热传导型偏微分方程数值求解的一种实用方法。

[5] Charney JG, Fjortoft R, von Neumann J. Numerical integration of the barotropic vorticity equation. Tellus 1950;2:237-54.

题名中译：正压涡度方程的数值积分。

[6] Hirsch C. Numerical computation of internal and external flows, vol. 1. New York: John Wiley and Sons; 1988.

题名中译：内流与外流的数值计算，第1卷。

[7] Roache PJ. Computational fluid dynamics. Albuquerque, USA: Hermosa Publishers; 1972.

题名中译：计算流体动力学。

[8] Roache PJ. Fundamentals of computational fluid dynamics. Albuquerque, USA: Hermosa Publishers; 1998.

题名中译：计算流体动力学基础。

[9] Kroll N, Jain RK. Solution of two-dimensional Euler equations—experience with a finite volume code. DLR Research Report, No. 87-41; 1987.

题名中译：二维 Euler 方程的求解：一个有限体积程序的应用经验。

[10] Radespiel R, Swanson RC. Progress with multigrid schemes for hypersonic flow problems. ICASE Report No. 91-89; 1991; also J Comput Phys 1995;116:103-22.

题名中译：高超声速流动问题多重网格格式的进展。

[11] Courant R, Friedrichs KO, Lewy H. Über die partiellen differenzgleichungen der mathematischen Physik. Math Ann 1928;100:32-74. Translation: On the partial difference equations of mathematical physics. IBM J 1967;11:215-34.

题名中译：数学物理的偏差分方程。

[12] Jameson A. Multigrid algorithms for compressible calculations. multigrid methods II, Lecture notes in mathematics, vol. 1228. New York: Springer Verlag; 1985.

题名中译：可压缩流动计算的多重网格算法。

[13] Van Leer B, Tai C-H, Powell KG. Design of optimally smoothing multi-stage schemes for the Euler equations. AIAA Paper 89-1933; 1989.

题名中译：Euler 方程最优光顺多级格式的设计。

[14] Lötstedt P, Gustafsson B. Fourier analysis of multigrid methods for general systems of PDE. Report No. 129/1990. Sweden: Department of Scientific Computing, Uppsala University; 1990.

题名中译：一般偏微分方程组多重网格方法的 Fourier 分析。

[15] Blazek J, Kroll N, Radespiel R, Rossow C-C. Upwind implicit residual smoothing method for multi-stage schemes. AIAA Paper 91-1533; 1991.

题名中译：多级格式的迎风隐式残差光顺方法。

[16] Blazek J. Methods to accelerate the solution of the Euler- and the Navier-Stokes equations for steady-state super- and hypersonic flows. Translation of DLR Research Report, No. 94-35, ESA-TT-1331; 1995.

题名中译：加速稳态超声速及高超声速流动 Euler 方程与 Navier–Stokes 方程求解的方法。

[17] Tai C-H, Sheu J-H, van Leer B. Optimal multistage schemes for Euler equations with residual smoothing. AIAA J 1995;33:1008-16.

题名中译：带残差光顺的 Euler 方程最优多级格式。

[18] Tai C-H, Sheu J-H, Tzeng P-Y. Improvement of explicit multistage schemes for central spatial discretization. AIAA J 1996;34:185-8.

题名中译：中心空间离散显式多级格式的改进。

[19] Blazek J. Investigations of the implicit LU-SSOR scheme. DLR Research Report, No. 93-51; 1993.

题名中译：隐式 LU-SSOR 格式的研究。

[20] Blazek J. A multigrid LU-SSOR scheme for the solution of hypersonic flow problems. AIAA Paper 94-0062; 1994.

题名中译：求解高超声速流动问题的多重网格 LU-SSOR 格式。