A stable high-order finite difference scheme for the compressible Navier-Stokes equations, far-field boundary conditions
暂无分享,去创建一个
[1] Magnus Svärd,et al. On the order of accuracy for difference approximations of initial-boundary value problems , 2006, J. Comput. Phys..
[2] Wendy Kress,et al. High Order Finite Difference Methods in Space and Time , 2003 .
[3] Haecheon Choi,et al. Control of laminar vortex shedding behind a circular cylinder using splitter plates , 1996 .
[4] John C. Strikwerda,et al. Initial boundary value problems for incompletely parabolic systems , 1976 .
[5] A. Majda,et al. Radiation boundary conditions for acoustic and elastic wave calculations , 1979 .
[6] Jan Nordström,et al. The use of characteristic boundary conditions for the Navier-Stokes equations , 1995 .
[7] Magnus Svärd,et al. High-order accurate computations for unsteady aerodynamics , 2007 .
[8] R. D. Richtmyer,et al. Survey of the stability of linear finite difference equations , 1956 .
[9] J. Nordström,et al. Summation by Parts Operators for Finite Difference Approximations of Second-Derivatives with Variable Coefficients , 2004, Journal of Scientific Computing.
[10] Parviz Moin,et al. B-Spline Method and Zonal Grids for Simulations of Complex Turbulent Flows , 1997 .
[11] Magnus Svärd,et al. Accuracy requirements for transient aerodynamics , 2003 .
[12] B. Strand. Summation by parts for finite difference approximations for d/dx , 1994 .
[13] David Gottlieb,et al. Optimal time splitting for two- and three-dimensional navier-stokes equations with mixed derivatives , 1981 .
[14] P. Roe. Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .
[15] H. Kreiss,et al. Time-Dependent Problems and Difference Methods , 1996 .
[16] Magnus Svärd,et al. Stable and Accurate Artificial Dissipation , 2004, J. Sci. Comput..
[17] D. Gottlieb,et al. A Stable and Conservative Interface Treatment of Arbitrary Spatial Accuracy , 1999 .
[18] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[19] Magnus Svärd,et al. Well-Posed Boundary Conditions for the Navier-Stokes Equations , 2005, SIAM J. Numer. Anal..
[20] Jan Nordström,et al. High-order finite difference methods, multidimensional linear problems, and curvilinear coordinates , 2001 .
[21] Magnus Svärd,et al. On Coordinate Transformations for Summation-by-Parts Operators , 2004, J. Sci. Comput..
[22] H. Kreiss,et al. Finite Element and Finite Difference Methods for Hyperbolic Partial Differential Equations , 1974 .
[23] Gilbert Strang,et al. Accurate partial difference methods , 1964 .
[24] Bertil Gustafsson,et al. Incompletely parabolic problems in fluid dynamics , 1978 .
[25] C. Williamson. Defining a Universal and Continuous Strouhal-Reynolds Number Relationship for the Laminar Vortex She , 1988 .
[26] T. Pulliam,et al. A diagonal form of an implicit approximate-factorization algorithm , 1981 .
[27] D. Gottlieb,et al. Time-stable boundary conditions for finite-difference schemes solving hyperbolic systems: methodology and application to high-order compact schemes , 1994 .
[28] Magnus Svärd,et al. Steady-State Computations Using Summation-by-Parts Operators , 2005, J. Sci. Comput..
[29] Jan Nordström,et al. Boundary and Interface Conditions for High-Order Finite-Difference Methods Applied to the Euler and Navier-Stokes Equations , 1999 .
[30] H. Kreiss,et al. Comparison of accurate methods for the integration of hyperbolic equations , 1972 .
[31] Jan S. Hesthaven,et al. A Stable Penalty Method for the Compressible Navier-Stokes Equations: I. Open Boundary Conditions , 1996, SIAM J. Sci. Comput..
[32] H. Kreiss,et al. Initial-Boundary Value Problems and the Navier-Stokes Equations , 2004 .