Computing singular solutions of the Navier–Stokes equations with the Chebyshev‐collocation method
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[1] G. Batchelor,et al. An Introduction to Fluid Dynamics , 1968 .
[2] John P. Boyd,et al. Spectral method solution of the Stokes equations on nonstaggered grids , 1991 .
[3] R. Rannacher,et al. Finite element approximation of the nonstationary Navier-Stokes problem. I : Regularity of solutions and second-order error estimates for spatial discretization , 1982 .
[4] H. K. Moffatt,et al. Local similarity solutions and their limitations , 1980, Journal of Fluid Mechanics.
[5] Olivier Botella,et al. On the solution of the Navier-Stokes equations using Chebyshev projection schemes with third-order accuracy in time , 1997 .
[6] C. W. Gear,et al. Numerical initial value problem~ in ordinary differential eqttations , 1971 .
[7] H. K. Moffatt,et al. Effects of inertia in forced corner flows , 1981, Journal of Fluid Mechanics.
[8] G. Georgiou,et al. The integrated singular basis function method for the stick-slip and the die-swell problems , 1991 .
[9] E. Krause,et al. Three dimensional computation of transition to turbulence in a reciprocating engine , 1989 .
[10] P. Lagerstrom. Laminar Flow Theory , 1996 .
[11] I. Raspo,et al. A spectral multidomain technique for the computation of the czochralski melt configuration , 1996 .
[12] R. Peyret,et al. A Chebyshev collocation method for the Navier–Stokes equations with application to double‐diffusive convection , 1989 .
[13] G. Labrosse,et al. Stability of the axisymmetric buoyant-capillary flows in a laterally heated liquid bridge , 1999 .
[14] Murli M. Gupta,et al. Nature of viscous flows near sharp corners , 1981 .
[15] Yvon Maday,et al. Polynomial approximation of some singular functions , 1991 .
[16] R. Temam,et al. Navier-stokes equations: Theory and approximation , 1998 .
[17] John P. Boyd,et al. Chebyshev pseudospectral method of viscous flows with corner singularities , 1989 .
[18] G. Georgiou,et al. Singular finite elements for the sudden‐expansion and the die‐swell problems , 1990 .
[19] O. Botella,et al. BENCHMARK SPECTRAL RESULTS ON THE LID-DRIVEN CAVITY FLOW , 1998 .
[20] George Em Karniadakis,et al. Spectral Element Methods for Elliptic Problems in Nonsmooth Domains , 1995 .
[21] M. Kelmanson,et al. An integral equation justification of the boundary conditions of the driven-cavity problem , 1994 .
[22] D. Ruth,et al. A new scheme for vorticity computations near a sharp corner , 1994 .
[23] Cyrus K. Aidun,et al. A direct method for computation of simple bifurcations , 1995 .
[24] H. K. Moffatt. Viscous and resistive eddies near a sharp corner , 1964, Journal of Fluid Mechanics.
[25] R. Temam. Behaviour at Time t=0 of the Solutions of Semi-Linear Evolution Equations. , 1982 .
[26] Jerzy M. Floryan,et al. On the Numerical Treatment of Corner Singularity in the Vorticity Field , 1995 .
[27] T. Taylor,et al. Computational methods for fluid flow , 1982 .
[28] O. Burggraf. Analytical and numerical studies of the structure of steady separated flows , 1966, Journal of Fluid Mechanics.
[29] G. Fix,et al. On the use of singular functions with finite element approximations , 1973 .
[30] Ivo Babuska,et al. The p and h-p Versions of the Finite Element Method, Basic Principles and Properties , 1994, SIAM Rev..
[31] T. A. Zang,et al. Spectral methods for fluid dynamics , 1987 .