Multigrid Navier-Stokes Calculations for Three-Dimensional Cascades

A vertex-based finite volume method for solving the three-dimensional compressible Reynolds-averaged Navier-Stokes equations is presented for calculating turbomachinery cascade flows. A discretization scheme for the viscous terms is proposed. The Baldwin-Lomax algebraic turbulence model is used. The scheme is verified against laminar and turbulent flows over a flat plate. Two- and three-dimensional computations were carried out for a low-pressure turbine cascade at design and off-design conditions. Results are compared with inviscid solutions and experimental data.

[1]  Xiaoqing Zheng,et al.  Staggered finite volume scheme for solving cascade flow with a k-omega turbulence model , 1994 .

[2]  F. Liu Numerical Calculation of Turbomachinery Cascade Flows , 1991 .

[3]  Antony Jameson,et al.  Multigrid Euler calculations for three dimensional cascades , 1990 .

[4]  Feng Liu,et al.  Multigrid calculations for cascades , 1989 .

[5]  R. Radespiel A cell-vertex multigrid method for the Navier-Stokes equations , 1989 .

[6]  Dochul Choi,et al.  Computation of three-dimensional viscous linear cascade flows , 1988 .

[7]  William N. Dawes,et al.  Development of a 3D Navier Stokes Solver for Application to all Types of Turbomachinery , 1988 .

[8]  Rodrick V. Chima,et al.  Explicit multigrid algorithm for quasi-three-dimensional viscous flows in turbomachinery , 1987 .

[9]  C. Hah,et al.  Calculation of three-dimensional viscous flows in turbomachinery with an implicit relaxation method , 1987 .

[10]  Luigi Martinelli,et al.  Calculations of viscous flows with a multigrid method , 1987 .

[11]  D. Caughey,et al.  Multigrid solution of inviscid transonic flow through rotating blade passages , 1987 .

[12]  Howard P. Hodson,et al.  The Off-Design Performance of a Low Pressure Turbine Cascade , 1986 .

[13]  Howard P. Hodson,et al.  Three-Dimensional Flow in a Low-Pressure Turbine Cascade at Its Design Condition , 1986 .

[14]  Roger L. Davis,et al.  Cascade viscous flow analysis using the Navier-Stokes equations , 1986 .

[15]  Howard P. Hodson,et al.  Boundary-layer transition and separation near the leading edge of a high-speed turbine blade , 1985 .

[16]  J. D. Denton,et al.  An Improved Time-Marching Method for Turbomachinery Flow Calculation , 1983 .

[17]  A. Jameson Solution of the Euler equations for two dimensional transonic flow by a multigrid method , 1983 .

[18]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .