Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part II: Multi-dimensional limiting process

[1]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[2]  P. Sweby.  High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws , 1984 .

[3]  Philip L. Roe,et al.  Discrete models for the numerical analysis of time-dependent multidimensional gas dynamics , 1986 .

[4]  S. Spekreijse.  Multigrid solution of monotone second-order discretizations of hyperbolic conservation laws , 1986 .

[5]  Chi-Wang Shu.  TVB uniformly high-order schemes for conservation laws , 1987 .

[6]  S. Osher,et al.  Uniformly High-Order Accurate Nonoscillatory Schemes. I , 1987 .

[7]  S. Osher,et al.  Uniformly high order accurate essentially non-oscillatory schemes, 111 , 1987 .

[8]  C. Hirsch,et al.  Numerical Computation of Internal and External Flows. By C. HIRSCH. Wiley. Vol. 1, Fundamentals of Numerical Discretization. 1988. 515 pp. £60. Vol. 2, Computational Methods for Inviscid and Viscous Flows. 1990, 691 pp. £65. , 1991, Journal of Fluid Mechanics.

[9]  Charles Hirsch,et al.  Numerical computation of internal & external flows: fundamentals of numerical discretization , 1988 .

[10]  S. Osher,et al.  Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .

[11]  Development of a grid-independent approximate Riemann solver. , 1991 .

[12]  A fixed-stencil non-oscillatory scheme for hyperbolic systems , 1992 .

[13]  Bernard Grossman,et al.  Characteristic-based, rotated upwind scheme for the Euler equations , 1992 .

[14]  C. Hirsch,et al.  Genuinely upwind algorithms for the multidimensional Euler equations , 1992 .

[15]  A multi-dimensional upwind scheme for the Euler equations on structured grids , 1993 .

[16]  Philip L. Roe,et al.  Multidimensional upwind schemes based on fluctuation-splitting for systems of conservation laws , 1993 .

[17]  Bram van Leer,et al.  Use of a rotated Riemann solver for the two-dimensional Euler equations , 1993 .

[18]  S. Osher,et al.  Weighted essentially non-oscillatory schemes , 1994 .

[19]  David Sidilkover,et al.  A GENUINELY MULTIDIMENSIONAL UPWIND SCHEME AND EFFICIENT MULTIGRID SOLVER FOR THE COMPRESSIBLE EULER EQUATIONS , 1994 .

[20]  A. Jameson.  ANALYSIS AND DESIGN OF NUMERICAL SCHEMES FOR GAS DYNAMICS, 1: ARTIFICIAL DIFFUSION, UPWIND BIASING, LIMITERS AND THEIR EFFECT ON ACCURACY AND MULTIGRID CONVERGENCE , 1995 .

[21]  M. Liou.  A Sequel to AUSM , 1996 .

[22]  Chi-Wang Shu,et al.  Efficient Implementation of Weighted ENO Schemes , 1995 .

[23]  H. Huynh,et al.  Accurate Monotonicity-Preserving Schemes with Runge-Kutta Time Stepping , 1997 .

[24]  Christian Tenaud,et al.  Evaluation of TVD high resolution schemes for unsteady viscous shocked flows , 2000 .

[25]  Oh-Hyun Rho,et al.  Methods for the accurate computations of hypersonic flows: I. AUSMPW + scheme , 2001 .

[26]  O. Louedin,et al.  Adaptive Limiters for Improving the Accuracy of the MUSCL Approach for Unsteady Flows , 2001 .

[27]  A Study of Monotonic Characteristics of AUSM - type Schemes in Shock Regions , 2002 .

[28]  Aiaa Associate Fellow,et al.  DEVELOPMENT OF THE NUMERICAL SCHEME FOR MULTI- DIMENSIONAL FLOWS , 2003 .

[29]  Björn Sjögreen,et al.  Grid convergence of high order methods for multiscale complex unsteady viscous compressible flows , 2001 .

[30]  Chongam Kim,et al.  Accurate, efficient and monotonic numerical methods for multi-dimensional compressible flows Part I Spatial discretization , 2005 .