Numerical Shockwave Anomalies
暂无分享,去创建一个
[1] Robert W. MacCormack,et al. The Carbuncle CFD Problem , 2011 .
[2] S. Penner. Physics of shock waves and high-temperature hydrodynamic phenomena - Ya.B. Zeldovich and Yu.P. Raizer (translated from the Russian and then edited by Wallace D. Hayes and Ronald F. Probstein); Dover Publications, New York, 2002, 944 pp., $34. , 2003 .
[3] Eric Johnsen,et al. Analysis and Correction of Errors Generated by Slowly Moving Shocks , 2011 .
[4] Farzad Ismail,et al. Toward a reliable prediction of shocks in hypersonic flow: Resolving carbuncles with entropy and vorticity control , 2006 .
[5] Timothy J. Barth. Some notes on shock resolving flux functions. Part 1: Stationary characteristics , 1989 .
[6] James Ralston,et al. Discrete shock profiles for systems of conservation laws , 1979 .
[7] P. Lax,et al. Systems of conservation laws , 1960 .
[8] G. Sod. A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws , 1978 .
[9] HI,et al. The Effects of Numerical Viscosities I . Slowly Moving Shocks , 1996 .
[10] Yu-Xin Ren,et al. A robust shock-capturing scheme based on rotated Riemann solvers , 2003 .
[11] E. Toro. Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .
[12] A. Bressan. Hyperbolic Systems of Conservation Laws , 1999 .
[13] Ami Harten,et al. Self adjusting grid methods for one-dimensional hyperbolic conservation laws☆ , 1983 .
[14] Ashley F. Emery,et al. An Evaluation of Several Differencing Methods for Inviscid Fluid Flow Problems , 1968 .
[15] Philip L. Roe,et al. On Postshock Oscillations Due to Shock Capturing Schemes in Unsteady Flows , 1997 .
[16] Sean James Henderson,et al. Study of the issues of computational aerothermodynamics using a Riemann solver , 2008 .
[17] R. LeVeque. Wave Propagation Algorithms for Multidimensional Hyperbolic Systems , 1997 .
[18] Richard Courant,et al. Supersonic Flow And Shock Waves , 1948 .
[19] P. Lax. Hyperbolic systems of conservation laws II , 1957 .
[20] S. Osher,et al. Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .
[21] J. Steger,et al. Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods , 1981 .
[22] Robert B. Lowrie,et al. Compact higher-order numerical methods for hyperbolic conservation laws. , 1996 .
[23] Claus-Dieter Munz,et al. On Godunov-type schemes for Lagrangian gas dynamics , 1994 .
[24] C. Angelopoulos. High resolution schemes for hyperbolic conservation laws , 1992 .
[25] Kun Xu,et al. Does perfect Riemann solver exist , 1999 .
[26] M. Liou,et al. A New Flux Splitting Scheme , 1993 .
[27] P. Woodward,et al. The numerical simulation of two-dimensional fluid flow with strong shocks , 1984 .
[28] Anders Szepessy,et al. On shock wave stability , 1992 .
[29] Michael Dumbser,et al. A matrix stability analysis of the carbuncle phenomenon , 2004 .
[30] Noh's constant-velocity shock problem revisited , 1997 .
[31] S. K. Lele,et al. Numerical errors generated in simulations of slowly moving shocks , 2008 .
[32] Alberto Bressan,et al. An instability of the Godunov scheme , 2005 .
[33] Friedemann Kemm,et al. A Carbuncle Free Roe-Type Solver for the Euler Equations , 2008 .
[34] R. D. Richtmyer,et al. A Method for the Numerical Calculation of Hydrodynamic Shocks , 1950 .
[35] Keiichi Kitamura,et al. Very simple, carbuncle-free, boundary-layer-resolving, rotated-hybrid Riemann solvers , 2008, J. Comput. Phys..
[36] Chongam Kim,et al. Cures for the shock instability: development of a shock-stable Roe scheme , 2003 .
[37] Domenic D'Ambrosio,et al. Numerical Instablilities in Upwind Methods: Analysis and Cures for the “Carbuncle” Phenomenon , 2001 .
[38] Philip L. Roe,et al. On carbuncles and other excrescences , 2005 .
[39] Meng-Sing Liou,et al. Mass Flux Schemes and Connection to Shock Instability , 2000 .
[40] In-Seuck Jeung,et al. Realization of contact resolving approximate Riemann solvers for strong shock and expansion flows , 2009 .
[41] P. Lax. Weak solutions of nonlinear hyperbolic equations and their numerical computation , 1954 .
[42] Jishan Hu,et al. Projection Dynamics in Godunov-Type Schemes , 1998 .
[43] P. Woodward. Piecewise-parabolic methods for astrophysical fluid dynamics , 1986 .
[44] Jean-Marc Moschetta,et al. Shock wave instability and the carbuncle phenomenon: same intrinsic origin? , 2000, Journal of Fluid Mechanics.
[45] Smadar Karni,et al. Computations of Slowly Moving Shocks , 1997 .
[46] Chi-Wang Shu,et al. Strong Stability-Preserving High-Order Time Discretization Methods , 2001, SIAM Rev..
[47] A. Bressan,et al. Convergence of the Godunov scheme for straight line systems , 2001 .
[48] Meng-Sing Liou. Open Problems in Numerical Fluxes: Proposed Resolutions , 2011 .
[49] Jean-Marc Moschetta,et al. Shock wave numerical structure and the carbuncle phenomenon , 2005 .
[50] Antonio Marquina,et al. Capturing Shock Reflections , 1996 .
[51] Jean-Luc Guermond,et al. Entropy-based nonlinear viscosity for Fourier approximations of conservation laws , 2008 .
[52] Ronald Fedkiw,et al. An Isobaric Fix for the Overheating Problem in Multimaterial Compressible Flows , 1999 .
[53] P. Roe,et al. Shock waves and rarefaction waves in magnetohydrodynamics. Part 1. A model system , 1997, Journal of Plasma Physics.
[54] Volker Elling,et al. The carbuncle phenomenon is incurable , 2009 .
[55] Philip L. Roe,et al. Fluctuations and signals - a framework for numerical evolution problems. , 1800 .
[56] Thomas W. Roberts,et al. The behavior of flux difference splitting schemes near slowly moving shock waves , 1990 .
[57] Renato Paciorri,et al. Shock interaction computations on unstructured, two-dimensional grids using a shock-fitting technique , 2011, J. Comput. Phys..
[58] Philip L. Roe,et al. Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks , 2009, J. Comput. Phys..
[59] I. Cameron. An analysis of the errors caused by using artificial viscosity terms to represent steady-state shock waves , 1966 .
[60] Tai-Ping Liu,et al. Continuum shock profiles for discrete conservation laws I: Construction , 1999 .
[61] B. Temple. Systems of conservation laws with invariant submanifolds , 1983 .
[62] W. F. Noh. Errors for calculations of strong shocks using an artificial viscosity and artificial heat flux , 1985 .
[63] P. Roe,et al. On Godunov-type methods near low densities , 1991 .
[64] Ralph Menikoff,et al. Errors When Shock Waves Interact Due to Numerical Shock Width , 1994, SIAM J. Sci. Comput..
[65] Gunilla Kreiss,et al. A note on the effect of artificial viscosity on solutions of conservation , 1996 .
[66] M. Carpenter,et al. Accuracy of Shock Capturing in Two Spatial Dimensions , 1999 .
[67] Wai How Hui,et al. ON CONTACT OVERHEATING AND OTHER COMPUTATIONAL DIFFICULTIES OF SHOCK-CAPTURING METHODS , 2002 .
[68] S. Imlay,et al. Blunt-body flow simulations , 1988 .
[69] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[70] Jean-Yves Trépanier,et al. A Conservative Shock Fitting Method on Unstructured Grids , 1996 .
[71] Paul Glaister,et al. An approximate linearised Riemann solver for the Euler equations for real gases , 1988 .
[72] Ralph Menikoff. Numerical anomalies mimicking physical effects , 1995 .
[73] M. D. Salas,et al. Shock Fitting Method for Complicated Two-Dimensional Supersonic Flows , 1976 .
[74] Tai-Ping Liu,et al. CONTINUUM SHOCK PROFILES FOR DISCRETE CONSERVATION LAWS II: STABILITY , 1999 .
[75] N. N. Yanenko,et al. Systems of Quasilinear Equations and Their Applications to Gas Dynamics , 1983 .
[76] Manuel D. Salas,et al. A Shock-Fitting Primer , 2009 .
[77] R. LeVeque. Numerical methods for conservation laws , 1990 .
[78] Luiz F. Azevedo,et al. Further Investigation into the Origin of the Carbuncle Phenomenon in Aerodynamic Simulations , 2011 .
[79] Eiji Shima,et al. On AUSM-Family Scheme for All Speeds with Shock Detection for Carbuncle-Fix , 2009 .
[80] Denis Serre,et al. Unstable Godunov Discrete Profiles for Steady Shock Waves , 1998 .
[81] Kun Xu,et al. Numerical Navier-Stokes solutions from gas kinetic theory , 1994 .
[82] Philip L. Roe,et al. Shock Capturing Anomalies and the Jump Conditions in One Dimension , 2011 .
[83] William J. Rider,et al. Revisiting Wall Heating , 2000 .
[84] R. Donat,et al. A numerical study of postshock oscillations in slowly moving shock waves , 2003 .
[85] Keiichi Kitamura,et al. Evaluation of Euler Fluxes for Hypersonic Flow Computations , 2009 .
[86] Eiji Shima,et al. Three-Dimensional Carbuncles and Euler Fluxes , 2010 .
[87] Renato Paciorri,et al. A shock-fitting technique for 2D unstructured grids , 2009 .
[88] B. V. Leer,et al. Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection , 1977 .
[89] Philip L. Roe,et al. Computational fluid dynamics—retrospective and prospective , 2005 .
[90] Chaowei Hu,et al. No . 98-32 Weighted Essentially Non-Oscillatory Schemes on Triangular Meshes , 1998 .
[91] Zhouping Xin,et al. Nonlinear stability of discrete shocks for systems of conservation laws , 1993 .
[92] M. Carpenter,et al. On accuracy of adaptive grid methods for captured shocks , 2002 .