← 回到首页 Skip to main content

6 参考文献

参考文献

[1] Jameson A, Schmidt W, Turkel E. Numerical solutions of the Euler equations by finite volume methods using Runge-Kutta time-stepping schemes. AIAA Paper 81-1259; 1981.

题名中译:采用 Runge–Kutta 时间推进格式的有限体积方法求解 Euler 方程。

[2] 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 方程最优平滑多级格式的设计。

[3] 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。

[4] 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。

[5] Martinelli L. Calculations of viscous flows with a multigrid method. PhD Thesis. Dept. of Mechanical and Aerospace Engineering, Princeton University; 1987.

题名中译:使用多重网格方法计算黏性流动。

[6] Mavriplis DJ, Jameson A. Multigrid solution of the Navier-Stokes equations on triangular meshes. AIAA J 1990;28:1415-25.

题名中译:三角形网格上 Navier–Stokes 方程的多重网格解法。

[7] Lafon A, Yee HC. On the numerical treatment of nonlinear source terms in reaction-convection equations. AIAA Paper 92-0419; 1992.

题名中译:反应—对流方程中非线性源项的数值处理。

[8] Curtiss CF, Hirschfelder JO. Integration of stiff equations. Proc Natl Acad Sci USA 1952;38.

题名中译:刚性方程的积分。

[9] Bussing TRA. A finite volume method for the Navier-Stokes equations with finite rate chemistry. PhD Thesis. Dept. of Aeronautics and Astronautics, Massachusetts Inst. of Technology; 1985.

题名中译:包含有限速率化学反应的 Navier–Stokes 方程有限体积方法。

[10] Bussing TRA, Murman EM. Finite-volume method for the calculation of compressible chemically reacting flows. AIAA J 1988;26:1070-8.

题名中译:计算可压缩化学反应流的有限体积方法。

[11] Kunz RF, Lakshminarayana B. Stability of explicit Navier-Stokes procedures using $ k-\varepsilon $ and $ k-\varepsilon/ $ algebraic Reynolds stress turbulence models. J Comput Phys 1992;103:141-59.

题名中译:采用 k–ε 及代数 Reynolds 应力湍流模型的显式 Navier–Stokes 求解过程的稳定性。

[12] Jonas S, Frühauf HH, Knab O. Fully coupled approach to the calculation of nonequilibrium hypersonic flows using a Godunov-type method. In: 1st European computational fluid dynamics conf. Brussels, Belgium; September 7-11, 1992.

题名中译:采用 Godunov 型方法计算非平衡高超声速流动的全耦合方法。

[13] Merci B, Steelant J, Vierendeels J, Riemslagh K, Dick E. Computational treatment of source terms in two-equation turbulence models. AIAA J 2000;38:2085-93.

题名中译:双方程湍流模型中源项的计算处理。

[14] Rosenbrock HH. Some general implicit processes for the numerical solution of differential equations. Comput J 1963;5:329-30.

题名中译:数值求解微分方程的一些一般隐式过程。

[15] Butcher JC. Implicit Runge-Kutta processes. Math Comput 1964;18:50-64.

题名中译:隐式 Runge–Kutta 过程。

[16] Courant R, Friedrichs KO, Lewy H. Über die partiellen Differenzgleichungen der mathematischen Physik. Math Ann 1928;100:32-74. [Transl.: 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;原文为德文,所列英译题名同义。

[17] Rizzi A, Inouye M. A time-split finite volume technique for three-dimensional blunt-body flow. AIAA Paper 73-0133; 1973.

题名中译:三维钝体流动的时间分裂有限体积技术。

[18] Müller B, Rizzi A. Runge-Kutta finite-volume simulation of laminar transonic flow over a NACA0012 airfoil using the Navier-Stokes equations. FFA TN 1986-60; 1986.

题名中译:使用 Navier–Stokes 方程对 NACA0012 翼型层流跨声速绕流进行 Runge–Kutta 有限体积模拟。

[19] Swanson RC, Turkel E, White JA. An effective multigrid method for high-speed flows. In: Proc. 5th Copper Mountain conf. on multigrid methods; 1991.

题名中译:高速流动的高效多重网格方法。

[20] Vijayan P, Kallinderis Y. A 3D finite-volume scheme for the Euler equations on adaptive tetrahedral grids. J Comput Phys 1994;113:249-67.

题名中译:自适应四面体网格上 Euler 方程的三维有限体积格式。

[21] George A, Liu JW. Computer solution of large sparse positive definite systems. Prentice Hall Series in Comput Math. Englewood Cliffs, NJ: Prentice Hall; 1981.

题名中译:大型稀疏正定系统的计算机求解。

[22] Pothen A, Simon HD, Liou KP. Partitioning sparse matrices with eigenvectors of graphs. SIAM J Matrix Anal Appl 1990;11:430-52.

题名中译:采用图特征矢量划分稀疏矩阵。

[23] Vanden KJ, Whitfield DL. Direct and iterative algorithms for the three-dimensional Euler equations. AIAA Paper 93-3378, 1993 [also AIAA J 1995;33:851-8].

题名中译:三维 Euler 方程的直接与迭代算法。

[24] Cuthill E, McKee J. Reducing the bandwidth of sparse symmetric matrices. In: Proc. ACM 24th national conference; 1969. p. 157-61.

题名中译:缩小稀疏对称矩阵的带宽。

[25] Gibbs NE, Poole WG, Stockmeyer PK. An algorithm for reducing the bandwidth and profile of a sparse matrix. SIAM J Numer Anal 1976;13:236-50.

题名中译:减小稀疏矩阵带宽与轮廓的一种算法。

[26] Löhner R. Some useful renumbering strategies for unstructured grids. Int J Numer Meth Eng 1993;36:3259-70.

题名中译:非结构网格的一些实用重编号策略。

[27] Steger JL, Warming RF. Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods. J Comput Phys 1981;40:263-93.

题名中译:无黏气体动力学方程的通量矢量分裂及其在有限差分方法中的应用。

[28] Liou MS, Van Leer B. Choice of implicit and explicit operators for the upwind differencing method. AIAA Paper 88-0624; 1988.

题名中译:迎风差分方法中隐式与显式算子的选择。

[29] Barth TJ, Linton SW. An unstructured mesh Newton solver for compressible fluid flow and its parallel implementation. AIAA Paper 95-0221; 1995.

题名中译:可压缩流动的非结构网格 Newton 求解器及其并行实现。

[30] Orkwis PD, Vanden KJ. On the accuracy of numerical versus analytical Jacobians. AIAA Paper 94-0176; 1994 [also AIAA J 1996;34:1125-9].

题名中译:数值 Jacobian 与解析 Jacobian 的精度比较。

[31] Barth TJ. Analysis of implicit local linearization techniques for upwind and TVD algorithms. AIAA Paper 87-0595; 1987.

题名中译:迎风及 TVD 算法隐式局部线性化技术的分析。

[32] Bischof C, Khademi P, Mauer A, Carle A. Adifor 2.0: automatic differentiation of Fortran 77 programs. IEEE Comput Sci Eng 1996;Fall:18–32.

题名中译:ADIFOR 2.0:Fortran 77 程序的自动微分。

[33] Narayanan SHK, Norris B, Winnicka B. ADIC2: Development of a component source transformation system for differentiating C and C++. In: Int. conf. on computational science, ICCS; 2010.

题名中译:ADIC2:用于 C 和 C++ 微分的组件式源代码变换系统开发。

[34] http://www.mcs.anl.gov/OpenAD.

资源说明:OpenAD 网站;原文仅提供网址,未列题名。

[35] Hogan RJ. Fast reverse-mode automatic differentiation using expression templates in C++. ACM Trans Math Software 2014;40:26:1-16 [see also: http://www.met.rdg.ac.uk/clouds/adept].

题名中译:使用 C++ 表达式模板实现快速反向模式自动微分;亦列出 Adept 网站。

[36] Dennis JE, Schnabel RB. Numerical methods for unconstrained optimization and nonlinear equations. Englewood Cliffs, NJ: Prentice-Hall; 1983.

题名中译:无约束优化与非线性方程的数值方法。

[37] Xu X, Richards BE. Simplified procedure for numerically approximate jacobian matrix generation in Newton's method for solving the Navier-Stokes equations. GU Aero Report 9320, Dept. Aerospace Eng., University of Glasgow; 1993.

题名中译:用 Newton 方法求解 Navier–Stokes 方程时,数值近似生成 Jacobian 矩阵的简化过程。

[38] Curtis AR, Powell MD, Reid JK. On the estimation of sparse Jacobian matrices. J Inst Maths Appl 1974;13:117-19.

题名中译:稀疏 Jacobian 矩阵的估计。

[39] Venkatakrishnan V. Preconditioned conjugate gradient methods for the compressible Navier-Stokes equations. AIAA Paper 90-0586; 1990 [also AIAA J 1991;29:1092-100].

题名中译:可压缩 Navier–Stokes 方程的预处理共轭梯度方法。

[40] Briley WR, McDonald H. Solution of the multi-dimensional compressible Navier-Stokes equations by a generalized implicit method. J Comput Phys 1977;24:372-97.

题名中译:采用广义隐式方法求解多维可压缩 Navier–Stokes 方程。

[41] Beam R, Warning R.F. An implicit factored scheme for the compressible Navier-Stokes equations. AIAA J 1978;16:393-402.

题名中译:可压缩 Navier–Stokes 方程的隐式因子分解格式。

[42] Steger JL. Implicit finite difference simulation of flow about arbitrary geometries with application to airfoils. AIAA J 1978;16:679.

题名中译:任意几何绕流的隐式有限差分模拟及其在翼型中的应用。

[43] Pulliam TH, Steger JL. Recent improvements in efficiency, accuracy and convergence for implicit approximate factorization scheme. AIAA Paper 85-0360; 1985.

题名中译:隐式近似因子分解格式在效率、精度及收敛方面的近期改进。

[44] Pulliam TH. Artificial dissipation models for the Euler equations. AIAA J 1986;24:1931–40.

题名中译:Euler 方程的人工耗散模型。

[45] Pulliam TH, Chaussee DS. A diagonal form of an implicit approximate factorization algorithm. J Comput Phys 1987;39:347-63.

题名中译:隐式近似因子分解算法的对角形式。

[46] Lomax H. Some notes on finite difference methods. Lecture Notes. Stanford University; 1986.

题名中译:有限差分方法的一些笔记。

[47] Pulliam TH. Implicit methods in CFD. Numerical methods for fluid dynamics III. Oxford University Press; 1988.

题名中译:CFD 中的隐式方法;收录于《流体动力学数值方法》第三卷。

[48] Rosenfeld M, Yassour Y. The alternating direction multi-zone implicit method. J Comput Phys 1994;110:212-20.

题名中译:交替方向多区域隐式方法。

[49] Jameson A, Turkel E. Implicit scheme and LU-decompositions. Math Comput 1981;37:385-97.

题名中译:隐式格式与 LU 分解。

[50] Yoon S, Jameson A. A multigrid LU-SSOR scheme for approximate Newton-iteration applied to the Euler equations. NASA CR-17954; 1986.

题名中译:用于 Euler 方程近似 Newton 迭代的多重网格 LU-SSOR 格式。

[51] Yoon S, Jameson A. Lower-upper symmetric-Gauss-Seidel method for the Euler and Navier-Stokes equations. AIAA Paper 87-0600, 1987 [AIAA J 1988;26:1025-26].

题名中译:Euler 方程与 Navier–Stokes 方程的 LU 对称 Gauss–Seidel 方法。

[52] Yoon S, Jameson A. LU implicit schemes with multiple grids for the Euler equations. AIAA Paper 86-0105; 1986 [also AIAA J 1987;7:929-35].

题名中译:Euler 方程的多重网格 LU 隐式格式。

[53] Rieger H, Jameson A. Solution of steady 3-D compressible Euler and Navier-Stokes equations by an implicit LU scheme. AIAA Paper 88-0619; 1988.

题名中译:采用隐式 LU 格式求解三维定常可压缩 Euler 方程与 Navier–Stokes 方程。

[54] Yoon S, Kwak D. 3-D incompressible Navier-Stokes solver using lower-upper symmetric-Gauss-Seidel algorithm. AIAA J 1991;29.

题名中译:使用 LU 对称 Gauss–Seidel 算法的三维不可压缩 Navier–Stokes 求解器。

[55] 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。

[56] Pahlke K, Blazek J, Kirchner A. Time-accurate Euler computations for rotor flows. European forum: recent developments and applications in aeronautical CFD, Paper No. 15. Bristol, UK; 1993.

题名中译:旋翼流动的时间精确 Euler 计算。

[57] Yoon S, Kwak D. Multigrid convergence of an implicit symmetric relaxation scheme. AIAA Paper 93-3357; 1993.

题名中译:隐式对称松弛格式的多重网格收敛。

[58] 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。

[59] Candler GV, Wright MJ, McDonald JD. A data-parallel LU-SGS method for reacting flows. AIAA Paper 94-0410; 1994.

题名中译:反应流的数据并行 LU-SGS 方法。

[60] 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:使用重叠网格的隐式 LU-SGS 格式区域分解。

[61] Lee B-S, Lee DH. Data parallel symmetric Gauss-Seidel algorithm for efficient distributed computing using massively parallel supercomputers. AIAA Paper 97-2138; 1997.

题名中译:在大规模并行超级计算机上实现高效分布式计算的数据并行对称 Gauss–Seidel 算法。

[62] Otero E, Eliasson P. Parameter investigation with line-implicit lower-upper symmetric Gauss-Seidel on 3D stretched grids. AIAA Paper 2014-2094; 2014.

题名中译:三维拉伸网格上线隐式 LU 对称 Gauss–Seidel 方法的参数研究。

[63] Xu L, Weng P. High order accurate and low dissipation method for unsteady compressible viscous flow computation on helicopter rotor in forward flight. J Comput Phys 2014;258:470-88.

题名中译:计算前飞直升机旋翼非定常可压缩黏性流动的高阶低耗散方法。

[64] Tomaro RF, Strang WZ, Sankar LN. An implicit algorithm for solving time dependent flows on unstructured grids. AIAA Paper 97-0333; 1997.

题名中译:非结构网格上求解随时间变化流动的隐式算法。

[65] Sharov D, Nakahashi K. Reordering of 3-D hybrid unstructured grids for vectorized LU-SGS Navier-Stokes calculations. AIAA Paper 97-2102; 1997.

题名中译:为向量化 LU-SGS Navier–Stokes 计算重排三维混合非结构网格。

[66] Kano S, Kazuhiro N. Navier-Stokes computations of HSCT off-design aerodynamics using unstructured hybrid grids. AIAA Paper 98-0232; 1998.

题名中译:使用非结构混合网格计算高速民用运输机(HSCT)非设计工况气动性能的 Navier–Stokes 方法。

[67] 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。

[68] Strang WZ, Tomaro RF, Grismer MJ. The defining methods of $ Cobalt_{60} $ : a parallel, implicit, unstructured Euler/Navier-Stokes flow solver. AIAA Paper 99-0786; 1999.

题名中译:Cobalt 的基本方法:并行隐式非结构 Euler/Navier–Stokes 流动求解器。

[69] Parsani M, Van den Abeele K, Lacor C, Turkel E. Implicit LU-SGS algorithm for high-order methods on unstructured grid with p-multigrid strategy for solving the steady Navier-Stokes equations. J Comput Phys 2010;229:828-50.

题名中译:采用 p 多重网格策略求解定常 Navier–Stokes 方程的非结构网格高阶方法隐式 LU-SGS 算法。

[70] Parsani M, Ghorbaniasl G, Lacor C. Analysis of the implicit LU-SGS algorithm for 3rd- and 4th-order spectral volume scheme for solving the steady Navier-Stokes equations. J Comput Phys 2011;230:7073-85.

题名中译:求解定常 Navier–Stokes 方程的三阶及四阶谱体积格式隐式 LU-SGS 算法分析。

[71] Haga T, Kuzuu K, Takaki R, Shima E. Assessment of an unstructured CFD solver for RANS simulation on body-fitted 笛卡尔 grids. AIAA Paper 2014-0241; 2014.

题名中译:对贴体笛卡尔网格 RANS 模拟所用非结构 CFD 求解器的评估。

[72] Shuen S, Yoon S. Numerical study of chemically reacting flows using a lower-upper symmetric successive overrelaxation scheme. AIAA J 1989;27:1752-60.

题名中译:采用 LU 对称逐次超松弛格式数值研究化学反应流。

[73] Shuen JS. Upwind differencing and LU factorization for chemical non-equilibrium Navier-Stokes equations. J Comput Phys 1992;99:233-50.

题名中译:化学非平衡 Navier–Stokes 方程的迎风差分与 LU 分解。

[74] Shuen JS, Chen KH, Choi Y. A coupled implicit method for chemical non-equilibrium flows at all speeds. J Comput Phys 1993;106:306-18.

题名中译:适用于全速度范围化学非平衡流动的耦合隐式方法。

[75] Palmer G, Venkapathy E. Comparison of nonequilibrium solution algorithms applied to chemically stiff hypersonic flows. AIAA J 1995;33:1211-19.

题名中译:用于化学刚性高超声速流动的非平衡求解算法比较。

[76] Gerlinger P, Stoll P, Brüggemann D. An implicit multigrid method for the simulation of chemically reacting flows. J Comput Phys 1998;146:322-45.

题名中译:化学反应流模拟的隐式多重网格方法。

[77] Yoon S, Jost G, Chang S. Parallelization of lower-upper symmetric Gauss-Seidel method for chemically reacting flow. AIAA Paper 2005-4627; 2005.

题名中译:化学反应流 LU 对称 Gauss–Seidel 方法的并行化。

[78] Chen B, Xu X, Cai G. A multi-code CFD solver for the efficient simulation of Ramjet/Scramjet inlet-engine coupled flowfields. AIAA Paper 2007-5414; 2007.

题名中译:高效模拟冲压/超燃冲压发动机入口—发动机耦合流场的多代码 CFD 求解器。

[79] Janus JM. A matrix study of Ax=b for implicit factored methods. AIAA Paper 98-0112; 1998.

题名中译:隐式因子分解方法中 Ax=b 的矩阵研究。

[80] Yuan X, Daiguji H. A new LU-type implicit scheme for three-dimensional compressible Navier-Stokes equations. In: Hafez M, Oshima K, editors. 6th Int. symposium on CFD, vol. III. Lake Tahoe; 1995 [Pergamon Press; 1998. p. 1473-8].

题名中译:三维可压缩 Navier–Stokes 方程的一种新 LU 型隐式格式。

[81] Soetrisno M, Imlay ST, Roberts DW. A zonal implicit procedure for hybrid structured-unstructured grids. AIAA Paper 94-0645; 1994.

题名中译:结构—非结构混合网格的分区隐式过程。

[82] Soetrisno M, Imlay ST, Roberts DW, Taflin DE. Development of a zonal implicit procedure for hybrid structured-unstructured grids. AIAA Paper 96-0167; 1996.

题名中译:结构—非结构混合网格分区隐式过程的开发。

[83] Sonneveld P. CGS, a fast Lanczos-type solver for nonsymmetric linear systems. SIAM J Sci Stat Comput 1989;10:36-52.

题名中译:CGS:非对称线性系统的快速 Lanczos 型求解器。

[84] Van der Vorst HA. BiCGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems. SIAM J Sci Stat Comput 1992;13:631-44.

题名中译:BiCGSTAB:求解非对称线性系统的快速平滑收敛 Bi-CG 变体。

[85] Freund RW. A transpose-free quasi-minimal residual algorithm for non-Hermitian linear systems. SIAM J Sci Comput 1993;14:470-82.

题名中译:非 Hermitian 线性系统的无转置准最小残差算法。

[86] Saad Y, Schulz MH. GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems. SIAM J Sci Stat Comput 1986;7:856–69.

题名中译:GMRES:求解非对称线性系统的广义最小残差算法。

[87] Saad Y. Krylov subspace techniques, conjugate gradients, preconditioning and sparse matrix solvers. VKI Lecture Series; 1994–05; 1994.

题名中译:Krylov 子空间技术、共轭梯度、预处理与稀疏矩阵求解器。

[88] Walker HF. Implementation of the GMRES method using householder transformations. SIAM J Sci Comput 1988;9:152.

题名中译:使用 Householder 变换实现 GMRES 方法。

[89] Morgan RB. A restarted GMRES method augmented with eigenvectors. SIAM J Matrix Anal Appl 1995;16:1154-71.

题名中译:采用特征矢量增广的重启 GMRES 方法。

[90] Chapman A, Saad Y. Deflated and augmented Krylov subspace techniques. Technical Report UMSI 95/181. Minnesota Supercomputer Institute; 1995.

题名中译:消胀与增广 Krylov 子空间技术。

[91] Saad Y. Enhanced acceleration and reconditioning techniques. In: Hafez M, Oshima K, editors. CFD Review 1998. Singapore: World Scientific Publishing Co.; 1998. p. 478-87.

题名中译:增强加速与重新调节技术。

[92] Ajmani K, Ng, W-F, Liou M-S, Preconditioned conjugate gradient methods for low speed flow calculations. AIAA Paper 93-0881; 1993.

题名中译:低速流动计算的预处理共轭梯度方法。

[93] Brown PN, Saad Y. Hybrid Krylov methods for nonlinear systems of equations. SIAM J Sci Stat Comput 1990;11:450-81.

题名中译:非线性方程组的混合 Krylov 方法。

[94] Zingg D, Pueyo A. An efficient Newton-GMRES solver for aerodynamic computations. AIAA Paper 97-1955; 1997.

题名中译:气动计算的高效 Newton–GMRES 求解器。

[95] 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:用于并行隐式 CFD 的全局化 Newton–Krylov–Schwarz 算法与软件。

[96] 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 的 Newton–Krylov 方法:方法与应用综述。

[97] Nejat A, Ollivier-Gooch C. A high-order accurate unstructured finite volume Newton-Krylov algorithm for inviscid compressible flows. J Comput Phys 2008;227:2582-609.

题名中译:无黏可压缩流动的高阶精度非结构有限体积 Newton–Krylov 算法。

[98] Chisholm TT, Zingg DW. A Jacobian-free Newton-Krylov algorithm for compressible turbulent fluid flows. J Comput Phys 2009;228:3490-507.

题名中译:可压缩湍流的无 Jacobian Newton–Krylov 算法。

[99] Lucas P, van Zuijlen AH, Bijl H. Fast unsteady flow computations with a Jacobian-free Newton-Krylov algorithm. J Comput Phys 2010;229:9201-15.

题名中译:采用无 Jacobian Newton–Krylov 算法的快速非定常流动计算。

[100] Cai X-C, Gropp WD, Keyes DE, Tidriri MD. Newton-Krylov-Schwarz methods in CFD. In: Hebeker F-K, Rannacher R, Wittum G, editors. Proceedings of the International Workshop on the Navier-Stokes Equations; 2013. p. 17-30.

题名中译:CFD 中的 Newton–Krylov–Schwarz 方法。

[101] Meijerink JA, Van der Vorst HA. Guidelines for usage of incomplete decompositions in solving sets of linear equations as they occur in practical problems. J Comput Phys 1981;44:134-55.

题名中译:求解实际问题中的线性方程组时使用不完全分解的指南。

[102] Hackbusch W. Iterative solution of large sparse systems of equations. New York: Springer Verlag; 1994.

题名中译:大型稀疏方程组的迭代求解。

[103] Venkatakrishnan V, Mavriplis DJ. Implicit solvers for unstructured meshes. J Comput Phys 1993;105:83-91.

题名中译:非结构网格的隐式求解器。

[104] Ajmani K, Liou M-S. Implicit conjugate gradient solvers on distributed-memory architectures. AIAA Paper 95-1695; 1995.

题名中译:分布式内存架构上的隐式共轭梯度求解器。

[105] Luo H, Baum JD, Löhner R. A fast, Matrix-free implicit method for compressible flows on unstructured grids. AIAA Paper 99-0936; 1999.

题名中译:非结构网格可压缩流动的快速无矩阵隐式方法。

[106] Mulder W, Van Leer B. Experiments with implicit upwind methods for the Euler equations. J Comput Phys 1985;59:232-46.

题名中译:Euler 方程隐式迎风方法的实验。

[107] Cooper GJ, Sayfy A. Additive methods for the numerical solution of ordinary differential equations. Math Comput 1980;35:1159-72.

题名中译:常微分方程数值求解的加性方法。

[108] Cooper GJ, Sayfy A. Additive Runge-Kutta methods for stiff ordinary differential equations. Math Comput 1983;40:207-18.

题名中译:刚性常微分方程的加性 Runge–Kutta 方法。

[109] Kennedy CA, Carpenter MH. Additive Runge-Kutta schemes for convection-diffusion-reaction equations. Appl Numer Math 2003;44:139-81.

题名中译:对流—扩散—反应方程的加性 Runge–Kutta 格式。

[110] Alexander R. Diagonally implicit Runge-Kutta methods for stiff ODE's. SIAM J Numer Anal 1977;14:1006-21.

题名中译:刚性常微分方程的对角隐式 Runge–Kutta 方法。

[111] Najafi-Yazdi A, Mongeau L. A low-dispersion and low-dissipation implicit Runge-Kutta scheme. J Comput Phys 2013;233:315-23.

题名中译:低色散低耗散隐式 Runge–Kutta 格式。

[112] Nazari F, Mohammadian A, Charron M, Zadra A. Optimal high-order diagonally-implicit Runge-Kutta schemes for nonlinear diffusive systems on atmospheric boundary layer. J Comput Phys 2014;271:118-30.

题名中译:大气边界层非线性扩散系统的最优高阶对角隐式 Runge–Kutta 格式。

[113] Zhong X. Additive semi-implicit Runge-Kutta schemes for computing high-speed nonequilibrium reactive flows. J Comput Phys 1996;128:19-31.

题名中译:计算高速非平衡反应流的加性半隐式 Runge–Kutta 格式。

[114] Yoh JJ-I, Zhong X. Semi-implicit Runge-Kutta schemes for stiff multi-dimensional reacting flows. AIAA Paper 97-0803; 1997.

题名中译:刚性多维反应流的半隐式 Runge–Kutta 格式。

[115] Yoh JJ-I, Zhong X. Low-Storage semi-implicit Runge-Kutta methods for reactive flow computations. AIAA Paper 98-0130; 1998.

题名中译:反应流计算的低存储半隐式 Runge–Kutta 方法。

[116] Calvo MP, de Frutos J, Novo J. Linearly implicit Runge-Kutta methods for advection-reaction-diffusion equations. Appl Numer Math 2001;37:535-49.

题名中译:平流—反应—扩散方程的线性隐式 Runge–Kutta 方法。

[117] Dong H, Zhong X. Time-accurate simulations of hypersonic boundary layer stability and transition over blunt bodies using implicit parallel algorithms. AIAA Paper 2002-0156; 2002.

题名中译:采用隐式并行算法,对钝体高超声速边界层稳定性及转捩进行时间精确模拟。

[118] Calvo MP, Gerisch A. Linearly implicit Runge-Kutta methods and approximate matrix factorization. Appl Numer Math 2005;53:183-200.

题名中译:线性隐式 Runge–Kutta 方法与近似矩阵因子分解。

[119] Kanevsky A, Carpenter MH, Gottlieb D, Hesthaven JS. Application of implicit-explicit high order Runge-Kutta methods to discontinuous-Galerkin schemes. J Comput Phys 2007;225:1753-81.

题名中译:隐式—显式高阶 Runge–Kutta 方法在间断 Galerkin 格式中的应用。

[120] Kazemi-Kamyab V, van Zuijlen AH, Bijl H. Analysis and application of high order implicit Runge-Kutta schemes for unsteady conjugate heat transfer: a strongly-coupled approach. J Comput Phys 2014;272:471-86.

题名中译:非定常共轭传热高阶隐式 Runge–Kutta 格式的分析与应用:强耦合方法。

[121] Langer S. Agglomeration multigrid methods with implicit Runge-Kutta smoothers applied to aerodynamic simulations on unstructured grids. J Comput Phys 2014;277:72-100.

题名中译:用于非结构网格气动模拟、采用隐式 Runge–Kutta 光顺器的聚合多重网格方法。

[122] Tam CKW. Computational aeroacoustics: issues and methods. AIAA Paper 95-0677; 1995.

题名中译:计算气动声学:问题与方法。

[123] Tam CKW. Applied aero-acoustics: prediction methods. VKI Lecture Series 1996-04; 1996.

题名中译:应用气动声学:预测方法。

[124] Bijl H, Carpenter MH, Vatsa VN, Kennedy CA. Implicit time integration schemes for the unsteady compressible Navier-Stokes equations: laminar flow. J Comput Phys 2002;179:313-29.

题名中译:非定常可压缩 Navier–Stokes 方程的隐式时间积分格式:层流。

[125] Carpenter MH, Viken SA, Nielsen EJ. The efficiency of high order temporal schemes. AIAA Paper 2003-0086; 2003.

题名中译:高阶时间格式的效率。

[126] Jothiprasad G, Mavriplis DJ, Caughey DA. Higher-order time integration schemes for the unsteady Navier-Stokes equations on unstructured meshes. J Comput Phys 2003;191:542-66.

题名中译:非结构网格上非定常 Navier–Stokes 方程的高阶时间积分格式。

[127] Jameson A. Time-dependent calculations using multigrid with applications to unsteady flows past airfoils and wings. AIAA Paper 91-1596; 1991.

题名中译:采用多重网格的随时间变化计算及其在翼型与机翼非定常绕流中的应用。

[128] Arnone A, Liou MS, Povinelli LA. Multigrid time-accurate integration of Navier-Stokes equations. AIAA Paper 93-3361; 1993.

题名中译:Navier–Stokes 方程的多重网格时间精确积分。

[129] Melson ND, Sanetrik MD, Atkins HL. Time-accurate Navier-Stokes calculations with multigrid acceleration. In: Proc. 6th Copper Mountain conf. on multigrid methods; 1993. p. 423-39.

题名中译:采用多重网格加速的时间精确 Navier–Stokes 计算。

[130] Venkatakrishnan V. Implicit schemes and parallel computing in unstructured grid CFD. ICASE Report, No. 95-28; 1995.

题名中译:非结构网格 CFD 的隐式格式与并行计算。

[131] Venkatakrishnan V, Mavriplis DJ. Implicit method for the computation of unsteady flows on unstructured grids. J Comput Phys 1996;127:380-97.

题名中译:非结构网格上非定常流动计算的隐式方法。

[132] Alonso JJ, Jameson A. Fully-implicit time-marching aeroelastic solution. AIAA Paper 94-0056; 1994.

题名中译:全隐式时间推进气动弹性求解。

[133] Belov A, Martinelli L, Jameson A. A new implicit algorithm with multigrid for unsteady incompressible flow calculations. AIAA Paper 95-0049; 1995.

题名中译:非定常不可压缩流动计算的一种新隐式多重网格算法。

[134] Pierce NA, Alonso JJ. A preconditioned implicit multigrid algorithm for parallel computation of unsteady aeroelastic compressible flows. AIAA Paper 97-0444; 1997.

题名中译:并行计算非定常气动弹性可压缩流动的预处理隐式多重网格算法。

[135] Singh KP, Newman JC, Baysal O. Dynamic unstructured method for flows past multiple objects in relative motion. AIAA J 1995;33:641-9.

题名中译:多个相对运动物体绕流的动态非结构方法。

[136] Dubuc L, Cantariti F, Woodgate M, Gribben B, Badcock KJ, Richards BE. Solution of the unsteady euler equations using an implicit dual-time method. AIAA J 1998;36:1417-24.

题名中译:采用隐式双时间方法求解非定常 Euler 方程。

[137] Pulliam TH. Time accuracy and the use of implicit methods. AIAA paper 93-3360; 1993.

题名中译:时间精度与隐式方法的使用。

[138] Bartels R.E. An elasticity-based mesh scheme applied to the computation of unsteady three-dimensional spoiler and aeroelastic problems. AIAA Paper 99-3301; 1999.

题名中译:基于弹性的网格格式及其在三维非定常扰流板与气动弹性问题计算中的应用。

[139] Chassaing JC, Gerolymos GA, Vallet I. Reynolds-stress model dual-time-stepping computation of unsteady three-dimensional flows. AIAA J 2003;41:1882-94.

题名中译:采用 Reynolds 应力模型及双时间推进计算三维非定常流动。