9 参考文献
参考文献
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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。
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题名中译：非结构网格的收敛加速技术。
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题名中译：翼型与机翼跨声速绕流的迭代求解，包括马赫数为1的情形。
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题名中译：采用 Runge–Kutta 时间推进格式的 Euler 方程有限体积数值解。
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题名中译：Euler 方程最优光顺多级格式的设计。
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题名中译：带残差光顺的 Euler 方程最优多级格式。
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题名中译：中心空间离散显式多级格式的改进。
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题名中译：复杂构型 Euler 方程的求解。
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题名中译：多重网格循环中的隐式—显式残差光顺。
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题名中译：迎风格式的隐式—显式残差光顺。
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题名中译：采用多重网格方法计算黏性流动。
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题名中译：高超声速二维与三维黏性流动的多重网格方法。
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题名中译：采用半粗化的多重网格格式精确计算高超声速黏性流动。
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题名中译：完整飞机无黏跨声速绕流的计算。
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题名中译：多级格式的迎风隐式残差光顺方法。
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题名中译：加速稳态超声速与高超声速流动 Euler 方程及 Navier–Stokes 方程求解的方法。
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题名中译：若干隐式光顺方法的比较。
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题名中译：若干隐式残差光顺方法与多重网格结合使用时的比较。
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题名中译：多重网格开发指南。
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题名中译：采用多重网格方法求解二维跨声速流动的 Euler 方程。
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题名中译：采用多重网格方法求解 Euler 方程。
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题名中译：可压缩流动计算的多重网格算法。
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题名中译：高超声速强相互作用流场的隐式多重网格格式。
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题名中译：高超声速流动问题多重网格格式的进展。
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[28] Mavriplis DJ, Venkatakrishnan V. A 3D agglomeration multigrid solver for the Reynolds-averaged Navier-Stokes equations on unstructured meshes. Int J Numer Meth Fluids 1996;23:527-44.
题名中译：非结构网格上 Reynolds 平均 Navier–Stokes 方程的三维聚合多重网格求解器。
[29] Braaten ME, Connell SD. Three-dimensional unstructured adaptive multigrid scheme for the Navier-Stokes equations. AIAA J 1996;34:281-90.
[30] Mavriplis DJ. Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes. J Comput Phys 1998;145:141-65.
题名中译：各向异性非结构网格黏性流动求解器的多重网格策略。
[31] Haselbacher AC. A grid-transparent numerical method for compressible viscous flows on mixed unstructured grids. PhD Thesis, Loughborough University, England; 1999.
题名中译：混合非结构网格上可压缩黏性流动的一种不依赖网格类型的数值方法。
[32] Wasserman M, Mor-Yossef Y, Yavneh I, Greenberg JB. A robust implicit multigrid method for RANS equations with two-equation turbulence models. J Comput Phys 2010;229:5820-42.
题名中译：含双方程湍流模型的 RANS 方程的稳健隐式多重网格方法。
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题名中译：应用于 Euler 方程近似 Newton 迭代的多重网格 LU-SSOR 格式。
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题名中译：Euler 方程的下三角—上三角隐式多网格格式。
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题名中译：隐式对称松弛格式的多重网格收敛性。
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题名中译：隐式 LU-SSOR 格式的研究。
[37] 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。
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题名中译：模拟化学反应流动的隐式多重网格方法。
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题名中译：采用隐式 Runge–Kutta 光顺器的聚合多重网格方法在非结构网格气动模拟中的应用。
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题名中译：稳态 Euler 方程的理想多重网格效率。
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题名中译：以 O(N) 运算量获得稳态 Euler 方程解。
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题名中译：通过椭圆／双曲分裂获得最优多重网格收敛。
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题名中译：代数多重网格。
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题名中译：采用代数多重网格隐式求解预处理 Navier–Stokes 方程。
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题名中译：代数多重网格的稳健性与可扩展性。
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题名中译：代数多重网格综述。
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题名中译：BoomerAMG：并行代数多重网格求解器与预条件器。
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题名中译：分布式内存计算机上的并行代数多重网格方法。
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题名中译：高效代数多重网格算法及其收敛性。
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题名中译：对流问题的一种新多重网格方法。
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题名中译：采用局部预处理的 Euler 方程与 Navier–Stokes 方程半粗化多重网格求解器。
[56] Mavriplis DJ. Directional agglomeration multigrid techniques for high Reynolds number viscous flow solvers. AIAA Paper 98-0612; 1998.
题名中译：高 Reynolds 数黏性流动求解器的定向聚合多重网格技术。
[57] Mavriplis DJ. Multigrid strategies for viscous flow solvers on anisotropic unstructured meshes. J Comput Phys 1998;145:141-65.
题名中译：各向异性非结构网格黏性流动求解器的多重网格策略。
[58] Hackbush W. Multigrid methods and applications. Berlin: Springer Verlag; 1985.
题名中译：多重网格方法及应用。
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题名中译：非结构网格的多重网格技术。
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题名中译：非结构网格技术。
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题名中译：采用非结构非嵌套网格求解 Euler 方程的特征多重网格方法。
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题名中译：Euler 方程的三维多重网格方法。
[63] Peraire J, Peiró J, Morgan K. A 3D finite-element multigrid solver for the Euler equations. AIAA Paper 92-0449; 1992.
题名中译：Euler 方程的三维有限元多重网格求解器。
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题名中译：寻求非结构网格上 O(N) 复杂度的 Navier–Stokes 方程解。
[65] Riemslagh K, Dick E. A multigrid method for steady Euler equations on unstructured adaptive grids. In: Proc. 6th Copper Mountain conf. on multigrid methods; 1993. p. 527–42.
题名中译：非结构自适应网格上稳态 Euler 方程的多重网格方法。
[66] Mavriplis DJ, Martinelli L. Multigrid solution of compressible turbulent flow on unstructured meshes using a two-equation model. Int J Numer Meth Fluids 1994;18:887-914.
题名中译：采用双方程模型在非结构网格上多重网格求解可压缩湍流。
[67] Crumpton PI, Giles MB. Aircraft computations using multigrid and an unstructured parallel library. AIAA Paper 95-0210; 1995.
题名中译：采用多重网格与非结构并行库进行飞机流场计算。
[68] Guillard H. Node-nested multigrid with Delaunay coarsening. INRIA Report No. 1898, 1993.
题名中译：采用 Delaunay 粗化的节点嵌套多重网格方法。
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题名中译：非结构网格 Euler 迎风求解器的多重网格加速。
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题名中译：三维非结构自适应网格的一种新多重网格方法。
[71] Barth TJ. Randomized multigrid. AIAA Paper 95-0207; 1995.
题名中译：随机化多重网格。
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题名中译：C¹ 曲面插值软件。
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题名中译：n 维三角剖分的性质。
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题名中译：非结构动态网格上的隐式时间精确解。
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题名中译：混合网格上基于边的多重网格方法。
[76] Lallemand MH. Schémas décentrés multigrilles pour la résolution des équations d'Euler en éléments finis. PhD Thesis, Université de Provence, France; 1988.
题名中译：采用有限元求解 Euler 方程的偏心多重网格格式。
[77] Lallemand MH, Steve H, Dervieux A. Unstructured multigridding by volume agglomeration: current status. Comput Fluids 1992;21:397-433.
题名中译：通过控制体聚合构造非结构多重网格：现状。
[78] Koobus B, Lallemand MH, Dervieux A. Unstructured volume-agglomeration multigrid: solution of the Poisson equation. Int J Numer Meth Fluids 1994;18:27-42.
题名中译：非结构控制体聚合多重网格：Poisson 方程的求解。
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题名中译：非结构网格上跨声速流动的多重网格求解。
[80] Venkatakrishnan V, Mavriplis DJ. Agglomeration multigrid for the three-dimensional Euler equations. AIAA J 1995;33:633-40.
题名中译：三维 Euler 方程的聚合多重网格方法。
[81] Mavriplis DJ, Venkatakrishnan V. Agglomeration multigrid for viscous turbulent flows. ICASE Report No. 94-62, 1994 (also AIAA Paper 94-2332; 1994).
题名中译：黏性湍流的聚合多重网格方法。
[82] Elias SR, Stubley GD, Raithby GD. An adaptive agglomeration method for additive correction multigrid. Int J Numer Meth Eng 1997;40:887-903.
题名中译：加性修正多重网格的自适应聚合方法。
[83] Okamoto N, Nakahashi K, Obayashi S. A coarse grid generation algorithm for agglomeration multigrid method on unstructured grids. AIAA Paper 98-0615; 1998.
题名中译：非结构网格聚合多重网格方法的粗网格生成算法。
[84] Lassaline JV, Zingg DW. Development of an agglomeration multigrid algorithm with directional coarsening. AIAA Paper 99-3338; 1999.
题名中译：采用定向粗化的聚合多重网格算法的开发。
[85] Nishikawa H, Diskin B, Thomas JL. Critical study of agglomerated multigrid methods for diffusion. AIAA J 2010;48:839-47.
题名中译：扩散问题聚合多重网格方法的深入研究。
[86] Thomas JL, Diskin B, Nishikawa H. A critical study of agglomerated multigrid methods for diffusion on highly-stretched grids. Comput Fluids 2011;41:82-93.
题名中译：高拉伸网格上扩散问题聚合多重网格方法的深入研究。
[87] Nishikawa H, Diskin B, Thomas JL, Hammond DH. Recent advances in agglomerated multigrid. AIAA Paper 2013-863; 2013.
题名中译：聚合多重网格的最新进展。
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题名中译：为多重网格方法生成粗网格的多层算法。
[89] http://www-users.cs.umn.edu/~moulitsa/software.html
题名中译：Moulitsas 软件网页。
[90] Volpe G. Performance of compressible flow codes at low Mach number. AIAA J 1993;31:49-56.
题名中译：可压缩流动程序在低马赫数条件下的性能。
[91] Lee WT. Local preconditioning of the Euler equations. PhD Thesis, University of Michigan; 1991.
题名中译：Euler 方程的局部预处理。
[92] Lee D. Local preconditioning of the Euler and Navier-Stokes equations. PhD Thesis, University of Michigan; 1996.
[93] Guillard H, Viozat C. On the behavior of upwind schemes in the low Mach number limit. INRIA Report No. 3160; 1997.
题名中译：迎风格式在低马赫数极限下的行为。
[94] Patankar SV. Numerical heat transfer and fluid flow. McGraw-Hill, New York; 1980.
题名中译：数值传热与流体流动。
[95] Ho Y-H, Lakshminarayana B. Computation of unsteady viscous flow using a pressure-based algorithm. AIAA J 1993;31:2232-40.
题名中译：采用基于压力的算法计算非定常黏性流动。
[96] Javadia K, Darbandia M, Taeibi-Rahni M. Three-dimensional compressible-incompressible turbulent flow simulation using a pressure-based algorithm. Comput Fluids 2008;37:747-66.
题名中译：采用基于压力的算法模拟三维可压缩—不可压缩湍流。
[97] Darwish M, Sraj I, Moukalled F. A coupled finite volume solver for the solution of incompressible flows on unstructured grids. J Comput Phys 2009;228:180-201.
题名中译：非结构网格上求解不可压缩流动的耦合有限体积求解器。
[98] Shterev KS, Stefanov SK. Pressure based finite volume method for calculation of compressible viscous gas flows. J Comput Phys 2010;229:461-80.
题名中译：计算可压缩黏性气体流动的基于压力的有限体积方法。
[99] Chen ZJ, Przekwas AJ. A coupled pressure-based computational method for incompressible/compressible flows. J Comput Phys 2010;229:9150-65.
题名中译：不可压缩／可压缩流动的耦合压力计算方法。
[100] Chorin AJ. A numerical method for solving incompressible viscous flow problems. J Comput Phys 1967;2:12-26.
题名中译：求解不可压缩黏性流动问题的一种数值方法。
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题名中译：求解不可压缩及低速可压缩方程的预处理方法。
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题名中译：三维内部不可压缩流动的显式 Runge–Kutta 方法。
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题名中译：基于 Riemann 问题的稳态不可压缩流动求解方法。
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题名中译：非定常不可压缩流动的预处理多重网格方法。
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题名中译：任意马赫数下的高分辨率黏性流动模拟。
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题名中译：多维空气动力学预处理方法的评估。
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题名中译：低马赫数区域迎风格式的耗散机制：Roe 与 HLL 的比较。
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题名中译：Roe 近似 Riemann 求解器的低马赫数修正。
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题名中译：所有 Reynolds 数、Mach 数和 Grashof 数区域内任意流体流动的高效并行计算。
[111] Van Leer B, Lee WT, Roe P. Characteristic time-stepping or local preconditioning of the Euler equations. AIAA Paper 91-1552; 1991.
题名中译：Euler 方程的特征时间推进或局部预处理。
[112] Choi YH, Merkle CL. Time-derivative preconditioning for viscous flows. AIAA Paper 91-1652; 1991.
题名中译：黏性流动的时间导数预处理。
[113] Choi YH, Merkle CL. The application of preconditioning in viscous flows. J Comput Phys 1993;105:207-23.
题名中译：预处理在黏性流动中的应用。
[114] Turkel E. A review of preconditioning methods for fluid dynamics. Appl Numer Math 1993;12:257-84.
题名中译：流体动力学预处理方法综述。
[115] Turkel E, Vatsa VN, Radespiel R. Preconditioning methods for low-speed flows. AIAA Paper 96-2460; 1996.
题名中译：低速流动的预处理方法。
[116] Turkel E. Preconditioning techniques in computational fluid dynamics. Annu Rev Fluid Mech 1999;31:385-416.
题名中译：计算流体动力学中的预处理技术。
[117] Lee D, van Leer B. Progress in local preconditioning of the Euler and Navier-Stokes equations. AIAA Paper 93-3328; 1993.
[118] Lee D, van Leer B, Lynn JF. A local Navier-Stokes preconditioner for all Mach and cell Reynolds numbers. AIAA Paper 97-2024; 1997.
题名中译：适用于所有 Mach 数及单元 Reynolds 数的局部 Navier–Stokes 预处理器。
[119] Jorgenson PC, Pletcher RH. An implicit numerical scheme for the simulation of internal viscous flow on unstructured grids. Comput Fluids 1996;25:447-66.
题名中译：非结构网格内部黏性流动模拟的一种隐式数值格式。
[120] Weiss J, Smith WA. Preconditioning applied to variable and constant density flows. AIAA J 1995;33:2050-7.
题名中译：预处理在变密度与定密度流动中的应用。
[121] Godfrey AG, Walters RW, van Leer B. Preconditioning for the Navier-Stokes equations with finite-rate chemistry. AIAA Paper 93-0535; 1993.
[122] Dailey LD, Pletcher RH. Evaluation of multigrid acceleration for preconditioned time-accurate Navier-Stokes algorithms. Comput Fluids 1996;25:791-811.
[123] Jespersen D, Pulliam T, Buning P. Recent enhancements to OVERFLOW. AIAA Paper 97-0644; 1997.
题名中译：OVERFLOW 的近期改进。
[124] Sharov D, Nakahashi K. Low speed preconditioning and LU-SGS scheme for 3-D viscous flow computations on unstructured grids. AIAA Paper 98-0614; 1998.
题名中译：非结构网格三维黏性流动计算的低速预处理与 LU-SGS 格式。
[125] Nemec M, Zingg DW. Aerodynamic computations using the convective upstream split pressure scheme with local preconditioning. AIAA Paper 98-2444; 1998.
题名中译：采用局部预处理的对流迎风分裂压力格式进行气动计算。
[126] Merkle CL, Sullivan JY, Buelow PEO, Venkateswaran S. Computation of flows with arbitrary equations of state. AIAA J 1998;36:515-21.
题名中译：采用任意状态方程的流动计算。
[127] Sockol PM. Multigrid solution of the Navier-Stokes equations at low speeds with large temperature variations. J Comput Phys 2003;192:570-92.
[128] Puoti V. Preconditioning method for low-speed flows. AIAA J 2003;41:817–30.
题名中译：低速流动的预处理方法。
[129] Lee S-H. Cancellation problem of preconditioning method at low Mach numbers. J Comput Phys 2007;225:1199-210.
题名中译：低马赫数预处理方法的消减问题。
[130] Lee S-H. Alleviation of cancellation problem of preconditioned Navier-Stokes equations. J Comput Phys 2009;228:4970-5.
[131] Park H, Nourgaliev RR, Martineau RC, Knoll DA. On physics-based preconditioning of the Navier-Stokes equations. J Comput Phys 2009;228:9131-46.
[132] De Medeiros FEL, De B. Alves LS. Stiffness, sensitiveness and robustness in low Mach preconditioned density-based methods. AIAA Paper 2012-1113; 2012.
题名中译：基于密度的低马赫数预处理方法的刚性、敏感性与稳健性。
[133] Hejranfar K, Kamali-Moghadam R. Preconditioned characteristic boundary conditions for solution of the preconditioned Euler equations at low Mach number flows. J Comput Phys 2012;231:4384-402.
题名中译：低马赫数流动预处理 Euler 方程求解的预处理特征边界条件。
[134] Bas O, Tuncer IH, Kaynak U. A Mach-uniform preconditioner for incompressible and subsonic flows. Int J Numer Meth Fluids 2014;74:100-12.
题名中译：不可压缩与亚声速流动的马赫数一致预处理器。
[135] Falcão CEG, De Medeiros FEL, De B. Alves LS. Implicit Runge-Kutta physical-time marching in low mach preconditioned density-based methods. AIAA Paper 2014-3085; 2014.
题名中译：基于密度的低马赫数预处理方法中的隐式 Runge–Kutta 物理时间推进。
[136] http://msdn.microsoft.com/en-us/library/dd492627.aspx
题名中译：微软异步代理库文档。
[137] http://openacc.org/
题名中译：OpenACC 网站。
[138] http://blogs.mdn.com/b/nativeconcurrency
题名中译：微软原生并发编程博客。
[139] http://www.open-mpi.org
题名中译：Open MPI 网站。
[140] https://computing.llnl.gov/tutorials/mpi
题名中译：MPI 教程。
[141] http://www.cs.umn.edu/~metis
题名中译：Metis 网站。
[142] Stoll P, Gerlinger P, Brüggemann D. Domain decomposition for an implicit LU-SGS scheme using overlapping grids. AIAA Paper 97-1896; 1997.
题名中译：采用重叠网格的隐式 LU-SGS 格式的区域分解。
[143] Gropp WD, Keyes DE, McInnes LC, Tidriri MD. Globalized Newton-Krylov-Schwarz algorithms and software for parallel implicit CFD. ICASE Report No. 98-24; 1998.
题名中译：并行隐式 CFD 的全局化 Newton–Krylov–Schwarz 算法与软件。
[144] Cai X-C, Sarkis M. A restricted additive Schwarz preconditioner for general sparse linear systems. SIAM J Sci Comput 1999;21:792-7.
题名中译：一般稀疏线性系统的限制性加性 Schwarz 预条件器。
[145] Knoll DA, Keyes DE. Jacobian-free Newton-Krylov methods: a survey of approaches and applications. J Comput Phys 2004; 193:357-97.
题名中译：无 Jacobian 矩阵 Newton–Krylov 方法：方法与应用综述。
[146] Chen R, Wu Y, Yan Z, Zhao Y, Cai X-C. A parallel domain decomposition method for 3D unsteady incompressible flows at high Reynolds number. SIAM J Sci Comput 2014;58:275-89.
题名中译：高 Reynolds 数三维非定常不可压缩流动的并行区域分解方法。
[147] http://www.mcs.anl.gov/petsc
题名中译：PETSc 网站。
[148] http://www.openmp.org
题名中译：OpenMP 网站。
[149] Amritkar A, Deb S, Tafti D. Efficient parallel CFD-DEM simulations using OpenMP. J Comput Phys 2014;256:501-19.
题名中译：采用 OpenMP 的高效并行 CFD–DEM 模拟。
[150] http://www.nvidia.com/object/cuda_home_new.html
题名中译：CUDA 网站。
[151] https://developer.nvidia.com/cusp
题名中译：NVIDIA CUSP 开发者网页。
[152] https://github.com/cusplibrary/cusplibrary
题名中译：CUSP 库源代码仓库。
[153] Salvadore F, Bernardini M, Botti M. GPU accelerated flow solver for direct numerical simulation of turbulent flows. J Comput Phys 2013; 235:129-42.
题名中译：用于湍流直接数值模拟的 GPU 加速流动求解器。
[154] http://www.khronos.org/opencl
题名中译：OpenCL 网站。