5 参考文献
参考文献
[1] Hirsch C. Numerical computation of internal and external flows, vols. 1 and 2. Chichester, UK: John Wiley and Sons; 1988.
题名中译：内流与外流的数值计算，第 1、2 卷。
[2] Frink NT. Recent progress toward a three-dimensional Navier-Stokes solver. AIAA Paper 94-0061; 1994.
[3] Hassan O, Probert EJ, Weatherill NP, Marchant MJ, Morgan K, Marcum DL. The numerical simulation of viscous transonic flows using unstructured grids. AIAA Paper 94-2346; 1994.
题名中译：使用非结构网格数值模拟黏性跨声速流动。
[4] Frink NT, Pirzadeh SZ. Tetrahedral finite-volume solutions to the Navier-Stokes equations on complex configurations. In: 10th int. conf. on finite elements in fluids. Tucson, USA; 1998.
[5] Luo H, Baum JD, Löhner R. Computation of compressible flows using a two-equation turbulence model on unstructured grids. AIAA Paper 97-0430; 1997.
题名中译：在非结构网格上使用双方程湍流模型计算可压缩流动。
[6] Wang Q, Massey SJ, Abdol-Hamid KS, Frink NT. Solving Navier-Stokes equations with advanced turbulence models on three-dimensional unstructured grids. AIAA Paper 99-0156; 1999.
题名中译：在三维非结构网格上采用先进湍流模型求解 Navier–Stokes 方程。
[7] 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。
[8] Mavriplis DJ, Venkatakrishnan V. A unified multigrid solver for the Navier-Stokes equations on mixed element meshes. ICASE Report No. 95-53; 1995.
[9] Khawaja A, Kallinderis Y, Parthasarathy V. Implementation of adaptive hybrid grids for 3-D turbulent flows. AIAA Paper 96-0026; 1996.
题名中译：三维湍流自适应混合网格的实现。
[10] Coirier WJ, Jorgenson PCE. A mixed-volume approach for the Euler and Navier-Stokes equations, AIAA Paper 96-0762; 1996.
[11] Mavriplis DJ. Adaptive meshing technique for viscous flow calculations on mixed-element unstructured meshes. AIAA Paper 97-0857; 1997.
题名中译：混合单元非结构网格上黏性流动计算的自适应网格技术。
[12] Haselbacher AC, McGuirk JJ, Page GJ. Finite volume discretization aspects for viscous flows on mixed unstructured grids. AIAA Paper 97-1946; 1997 [also AIAA J 1999;37:177-84].
题名中译：混合非结构网格上黏性流动的有限体积离散问题。
[13] Kano S, Nakahashi K. Navier-Stokes computations of HSCT off-design aerodynamics using unstructured hybrid meshes. AIAA Paper 98-0232; 1998.
题名中译：采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。
[14] Sharov D, Nakahashi K. Hybrid prismatic/tetrahedral grid generation for viscous flow applications. AIAA J 1998;36:157-62.
题名中译：用于黏性流动的棱柱／四面体混合网格生成。
[15] Blazek J, Irmisch S, Haselbacher A. Unstructured mixed-grid Navier-Stokes solver for turbomachinery applications. AIAA Paper 99-0664; 1999.
题名中译：用于叶轮机械的非结构混合网格 Navier–Stokes 求解器。
[16] 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。
[17] Nakahashi K. FDM-FEM zonal approach for computations of compressible viscous flows. Lecture Notes in Physics, vol. 264. Springer Verlag; 1986. p. 494–8.
题名中译：计算可压缩黏性流动的有限差分—有限元分区方法。
[18] Nakahashi K. A finite-element method on prismatic elements for the three-dimensional Navier-Stokes equations. Lecture Notes in Physics, vol. 323. New York: Springer Verlag; 1989. p. 434-8.
[19] Soetrisno M, Imlay ST, Roberts DW, Taflin DE. Computations of viscous flows for multi-element wings using hybrid structured-unstructured grids. AIAA Paper 97-0623; 1997.
题名中译：使用结构—非结构混合网格计算多段机翼的黏性流动。
[20] Kallinderis Y, Khawaja A, McMorris H. Hybrid prismatic/tetrahedral grid generation for viscous flows around complex geometries. AIAA J 1996;34:291-8.
题名中译：复杂几何周围黏性流动的棱柱／四面体混合网格生成。
[21] Kallinderis Y, Khawaja A, McMorris H, Irmisch S, Walker D. Hybrid prismatic/tetrahedral grids for turbomachinery applications. In: Proc. 6th int. meshing roundtable. Park City, Utah, USA; 1997. p. 21-31.
题名中译：用于叶轮机械的棱柱／四面体混合网格。
[22] Baker TJ. Discretization of the Navier-Stokes equations and mesh induced errors. In: Proc. 5th int. conf. on numerical grid generation in CFD. Mississippi State University, Mississippi; April 1996.
[23] Baker TJ. Irregular meshes and the propagation of solution errors. In: Proc. 15th int. conf. on numerical methods in fluid dynamics. Monterey, CA; June 1996.
题名中译：不规则网格与解误差的传播。
[24] Mohanraj R, Neumeier Y, Zinn BT. Characteristic-based treatment of source terms in Euler equations for Roe scheme. AIAA J 1999;37:417-24.
题名中译：Roe 格式中基于特征的 Euler 方程源项处理。
[25] Jameson A, Mavriplis D. Finite volume solution of the two-dimensional Euler equations on a regular triangular mesh. AIAA J 1986;24:611-18.
题名中译：规则三角形网格上二维 Euler 方程的有限体积解。
[26] Frink NT, Parikh P, Pirzadeh S. A fast upwind solver for the Euler equations on three-dimensional unstructured meshes. AIAA Paper 91-0102; 1991.
题名中译：三维非结构网格上 Euler 方程的快速迎风求解器。
[27] Mavriplis DJ. Multigrid solution of the two-dimensional Euler equations on unstructured triangular meshes. AIAA J 1988;26:824–31.
题名中译：非结构三角形网格上二维 Euler 方程的多重网格解法。
[28] Mavriplis DJ, Jameson A, Martinelli L. Multigrid solution of the Navier-Stokes equations on triangular meshes. ICASE Report No. 89-11; 1989.
[29] Whitaker DL, Grossman B, Löhner R. Two-dimensional euler computations on a triangular mesh using an upwind, finite-volume scheme. AIAA Paper 89-0470; 1989.
题名中译：采用迎风有限体积格式在三角形网格上计算二维 Euler 流动。
[30] Barth TJ, Jespersen DC. The design and application of upwind schemes on unstructured meshes. AIAA Paper 89-0366; 1989.
题名中译：非结构网格迎风格式的设计与应用。
[31] Barth TJ. Numerical aspects of computing high-Reynolds number flows on unstructured meshes. AIAA Paper 91-0721; 1991.
题名中译：在非结构网格上计算高 Reynolds 数流动的数值问题。
[32] Hwang CJ, Wu SJ. Adaptive finite volume upwind approach on mixed quadrilateral-triangular meshes. AIAA J 1993;31:61-7.
题名中译：四边形—三角形混合网格上的自适应有限体积迎风方法。
[33] Whitaker DL. Three-dimensional unstructured grid Euler computations using a fully-implicit, upwind method. AIAA Paper 93-3337; 1993.
题名中译：采用全隐式迎风方法在三维非结构网格上计算 Euler 流动。
[34] Wang ZJ. Improved formulation for geometric properties of arbitrary polyhedra. AIAA J 1999;37:1326-7.
题名中译：任意多面体几何性质的改进公式。
[35] www.ma.ic.ac.uk/~rn/centroid.pdf
资源说明：原文仅提供形心资料的 PDF 地址，未列题名。
[36] Bruner CWS. Geometric properties of arbitrary polyhedra in terms of face geometry. AIAA J 1995;33:1350.
题名中译：用面几何表示任意多面体的几何性质。
[37] Barth TJ. Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations. AGARD R-787, Special course on unstructured grid methods for advection dominated flows. Brussels, Belgium; 18-22 May, 1992. p. 6.1-61.
[38] Essers JA, Delanaye M, Rogiest P. An upwind-biased finite-volume technique for solving compressible Navier-Stokes equations on irregular meshes. Applications to supersonic blunt-body flows and shock-boundary layer interactions. AIAA Paper 93-3377; 1993.
题名中译：在不规则网格上求解可压缩 Navier–Stokes 方程的偏迎风有限体积技术：用于超声速钝体绕流及激波—边界层相互作用。
[39] Aftosmis M, Gaitonde D, Tavares TS. Behavior of linear reconstruction techniques on unstructured meshes. AIAA J 1995;33:2038-49.
题名中译：非结构网格上线性重构技术的表现。
[40] Xia X, Nicolaides R. Covolume techniques for anisotropic media. Numer Math 1992;61:215–34.
题名中译：各向异性介质的协体积技术。
[41] 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。
[42] 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 中的隐式格式与并行计算。
[43] 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。
[44] 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。
[45] Jameson A, Baker TJ, Weatherill NP. Calculation of inviscid transonic flow over a complete aircraft. AIAA Paper 86-0103; 1986.
题名中译：全机无黏跨声速流动的计算。
[46] Holmes, D.G. and Connell SD. Solution of the 2D Navier-Stokes equations on unstructured adaptive meshes. AIAA Paper, No. 89-1932; 1989.
[47] Rausch RD, Batina JT, Yang, HTY. Spatial adaptation procedures on unstructured meshes for accurate unsteady aerodynamic flow computations. AIAA Paper 91-1106; 1991.
题名中译：用于精确非定常气动流动计算的非结构网格空间自适应过程。
[48] Swanson RC, Turkel E. On central difference and upwind schemes. J Comput Phys 1992;101:292-306.
题名中译：论中心差分格式与迎风格式。
[49] 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。
[50] Haselbacher A, Blazek J. On the accurate and efficient discretization of the Navier-Stokes equations on mixed grids. AIAA Paper 99-3363, 1999 [also AIAA J 2000;38:2094-102].
[51] Roe PL. Approximate Riemann solvers, parameter vectors, and difference schemes. J Comput Phys 1981;43:357-72.
题名中译：近似 Riemann 求解器、参数矢量与差分格式。
[52] Van Leer B. Towards the ultimate conservative difference scheme. V. A second order sequel to Godunov's method. J Comput Phys 1979;32:101-36.
题名中译：迈向最终的守恒差分格式，第五部分：Godunov 方法的二阶续篇。
[53] Desideri JA, Dervieux A. Compressible flow solvers using unstructured grids. VKI Lecture Series 1988-05. Rhode-St-Genèse, Belgium: Von Karman Institute; 1988. p. 1-115.
题名中译：采用非结构网格的可压缩流动求解器。
[54] Fezoui L, Stoufflet B. A class of implicit upwind schemes for Euler simulations with unstructured meshes. J Comput Phys 1989;84:174–206.
题名中译：非结构网格 Euler 模拟的一类隐式迎风格式。
[55] Whitaker DL, Slack DC, Walters RW. Solution algorithms for the two-dimensional Euler equations on unstructured meshes. AIAA Paper 90-0697; 1990.
题名中译：非结构网格上二维 Euler 方程的求解算法。
[56] Arminjon P, Dervieux A. Construction of TVD-like artificial viscosities on two-dimensional arbitrary FEM grids. J Comput Phys 1993;106:176-98.
题名中译：在二维任意有限元网格上构造类似 TVD 的人工黏性。
[57] Jameson A. Positive schemes and shock modelling for compressible flows. Int J Numer Meth Fluids 1995;20:743-76.
题名中译：可压缩流动的正性格式与激波建模。
[58] Frink NT. Upwind scheme for solving the Euler equations on unstructured tetrahedral meshes. AIAA J 1992;30:70-77.
题名中译：在非结构四面体网格上求解 Euler 方程的迎风格式。
[59] Barth TJ, Frederickson PO. Higher order solution of the Euler equations on unstructured grids using quadratic reconstruction. AIAA Paper 90-0013; 1990.
题名中译：采用二次重构在非结构网格上高阶求解 Euler 方程。
[60] Barth TJ. Recent developments in high order k-exact reconstruction on unstructured meshes. AIAA Paper 93-0668; 1993.
题名中译：非结构网格高阶 k 阶精确重构的近期进展。
[61] Mitchell CR, Walters RW. k-Exact reconstruction for the Navier-Stokes equations on arbitrary grids. AIAA Paper 93-0536; 1993.
[62] Mitchell CR. Improved reconstruction schemes for the Navier-Stokes equations on unstructured meshes. AIAA Paper 94-0642; 1994.
[63] Delanaye M, Essers JA. Finite volume scheme with quadratic reconstruction on unstructured adaptive meshes applied to turbomachinery flows. ASME IGTI gas turbine conference. Houston, USA; 1995.
题名中译：采用二次重构的非结构自适应网格有限体积格式及其在叶轮机械流动中的应用。
[64] Delanaye M. Polynomial reconstruction finite volume schemes for the compressible Euler and Navier-Stokes equations on unstructured adaptive grids. PhD Thesis, The University of Liège, Belgium; 1996.
题名中译：非结构自适应网格上可压缩 Euler 方程与 Navier–Stokes 方程的多项式重构有限体积格式。
[65] Harten A, Engquist B, Osher S, Chakravarthy S. Uniformly high order accurate essentially non-oscillatory schemes III. J Comput Phys 1987;71:231-303 [also ICASE Report No. 86-22; 1986].
题名中译：一致高阶精度的本质无振荡格式，第三部分。
[66] Casper J, Atkins HL. A finite-volume high-order ENO scheme for two-dimensional hyperbolic systems. J Comput Phys 1993;106:62-76.
题名中译：二维双曲系统的高阶 ENO 有限体积格式。
[67] Godfrey AG, Mitchell CR, Walters RW. Practical aspects of spatially high-order accurate methods. AIAA J 1993;31:1634-42.
题名中译：高阶空间精度方法的实际问题。
[68] Abgrall R, Lafon FC. ENO schemes on unstructured meshes. VKI Lecture Series 1993-04. Rhode-St-Genèse, Belgium: Von Karman Institute; 1993.
题名中译：非结构网格上的 ENO 格式。
[69] Abgrall R. On essentially non-oscillatory schemes on unstructured meshes: analysis and implementation. J Comput Phys 1994;114:45-58.
题名中译：非结构网格上的本质无振荡格式：分析与实现。
[70] Jiang G-S, Shu C-W. Efficient implementation of weighted ENO schemes. J Comput Phys 1996;126:202-28.
题名中译：加权 ENO 格式的高效实现。
[71] Ollivier-Gooch CE High-Order ENO schemes for unstructured meshes based on least-squares reconstruction. AIAA Paper 97-0540; 1997.
题名中译：基于最小二乘重构的非结构网格高阶 ENO 格式。
[72] Stanescu D, Habashi WG. Essentially nonoscillatory Euler solutions on unstructured meshes using extrapolation. AIAA J 1998;36:1413-16.
题名中译：采用外推在非结构网格上获得本质无振荡 Euler 解。
[73] Friedrich O. Weighted essentially non-oscillatory schemes for the interpolation of mean values on unstructured grids. J Comput Phys 1998;144:194–212.
题名中译：用于非结构网格均值插值的加权本质无振荡格式。
[74] Shi J, Hu C, Shu C-W. A technique of treating negative weights in WENO schemes. J Comput Phys 2002;175:108-27.
题名中译：处理 WENO 格式中负权重的一种技术。
[75] Martín MP, Taylor EM, Wu M, Weirs VG. A bandwidth-optimized WENO scheme for the effective direct numerical simulation of compressible turbulence. J Comput Phys 2006;220:270-89.
题名中译：用于高效直接数值模拟可压缩湍流的带宽优化 WENO 格式。
[76] Dumbser M, Käser M, Titarev VA, Toro EF. Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems. J Comput Phys 2007;226:204-43.
题名中译：非线性双曲系统在非结构网格上的无需求积无振荡有限体积格式。
[77] Borges R, Carmona M, Costa B, Don WS. An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws. J Comput Phys 2008;227:3191-211.
题名中译：双曲守恒律的改进加权本质无振荡格式。
[78] Dumbser M, Enaux C, Toro EF. Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws. J Comput Phys 2008;227:3971-4001.
题名中译：刚性双曲平衡律的超高阶精度有限体积格式。
[79] Castro M, Costa B, Don WS. High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws. J Comput Phys 2011;230:1766-92.
题名中译：双曲守恒律的高阶加权本质无振荡 WENO-Z 格式。
[80] Tsoutsanis P, Antoniadis AF, Drikakis D. WENO schemes on arbitrary unstructured meshes for laminar, transitional and turbulent flows. J Comput Phys 2014;256:254-76.
题名中译：任意非结构网格上层流、转捩及湍流的 WENO 格式。
[81] Ivan L, Groth CPT. High-order solution-adaptive central essentially non-oscillatory (CENO) method for viscous flows. J Comput Phys 2014;257:830-62.
题名中译：黏性流动的高阶解自适应中心本质无振荡（CENO）方法。
[82] 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。
[83] Huang C-S, Arbogast T, Hung C-H. A re-averaged WENO reconstruction and a third order CWENO scheme for hyperbolic conservation laws. J Comput Phys 2014;262:291-312.
题名中译：重新平均的 WENO 重构与双曲守恒律的三阶 CWENO 格式。
[84] Boscheri W, Balsara DS, Dumbser M. Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers. J Comput Phys 2014;267:112-38.
题名中译：基于真正多维 HLL Riemann 求解器的非结构三角形网格 Lagrangian ADER-WENO 有限体积格式。
[85] Fan P, Shen Y, Tian B, Yang C. A new smoothness indicator for improving the weighted essentially non-oscillatory scheme. J Comput Phys 2014;269:329-54.
题名中译：改进加权本质无振荡格式的新光滑度指标。
[86] Barth TJ. A 3-D upwind euler solver for unstructured meshes. AIAA Paper 91-1548; 1991.
题名中译：非结构网格的三维迎风 Euler 求解器。
[87] Luo H, Baum JD, Löhner R. An improved finite volume scheme for compressible flows on unstructured grids. AIAA Paper 95-0348; 1995.
题名中译：非结构网格可压缩流动的改进有限体积格式。
[88] Anderson WK, Bonhaus DL. An implicit upwind algorithm for computing turbulent flows on unstructured grids. Comput Fluids 1994;23:1-21.
题名中译：计算非结构网格湍流的隐式迎风算法。
[89] Mavriplis DJ. Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes. AIAA Paper 2003-3986; 2003.
题名中译：重新考察非结构网格梯度重构的最小二乘过程。
[90] Venkatakrishnan V. On the accuracy of limiters and convergence to steady state solutions. AIAA Paper 93-0880; 1993.
题名中译：限制器的精度与定常解的收敛。
[91] Venkatakrishnan V. Convergence to steady-state solutions of the Euler equations on unstructured grids with limiters. J Comput Phys 1995;118:120-30.
题名中译：带限制器的非结构网格 Euler 方程定常解的收敛。
[92] Li W, Ren Y-X, Lei G, Luo H. The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids. J Comput Phys 2011;230:7775-95.
题名中译：求解非结构网格双曲守恒律的多维限制器。
[93] Li W, Ren Y-X. The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids II: Extension to high order finite volume schemes. J Comput Phys 2012;231:4053-77.
题名中译：求解非结构网格双曲守恒律的多维限制器，第二部分：扩展至高阶有限体积格式。
[94] 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。
[95] Mavriplis DJ. Three-dimensional multigrid Reynolds-averaged Navier-Stokes solver for unstructured meshes. AIAA Paper 94-1878, 1994; also AIAA J 1995;33:445-53.
题名中译：非结构网格的三维多重网格 Reynolds 平均 Navier–Stokes 求解器。
[96] Braaten ME, Connell SD. Three dimensional unstructured adaptive multigrid scheme for the Navier-Stokes equations. AIAA J 1995;34:281-90.
[97] Luo H, Baum JD, Löhner R, Cabello J. Adaptive edge-based finite element schemes for the Euler and Navier-Stokes equations on unstructured grids. AIAA Paper 93-0336; 1993.
题名中译：在非结构网格上求解 Euler 方程与 Navier–Stokes 方程的基于边的自适应有限元格式。
[98] Crumpton PI, Moiner P, Giles MB. An unstructured algorithm for high Reynolds number flows on highly-stretched grids. In: 10th int. conf. num. meth. for laminar and turbulent flows. Swansea, England; July 21-25, 1997.
题名中译：高度拉伸网格上高 Reynolds 数流动的非结构算法。
[99] Weiss JM, Maruszewski JP, Smith WA. Implicit solution of preconditioned Navier-Stokes equations using algebraic multigrid. AIAA J 1999;37:29–36.
题名中译：使用代数多重网格隐式求解预处理 Navier–Stokes 方程。