A robust multi-block Navier-Stokes flow solver for industrial applications

This paper presents a robust multi-block flow solver for the thin-layer Reynolds-averaged Navier-Stokes equations, that is currently being used for industrial applications. A modification of a matrix dissipation scheme has been developed, that improves the numerical accuracy of Navier-Stokes boundary-layer computations, while maintaining the robustness of the scalar artificial dissipation scheme with regard to shock capturing. An improved method is presented to define the turbulence length scales in the Baldwin-Lomax and Johnson-King turbulence models. The flow solver allows for multi-block grid which are of C -continuous at block interfaces or even only partly continuous, thus simplifying the grid generation task. It is stressed that, for industrial applications, not only a (multi-block) flow solver, but a complete flow-simulation system must be available, including efficient and robust methods for aerodynamic geometry processing, grid generation, and postprocessing. Results are presented which show the applicability of the flow-simulation system for industrial purposes.

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

[2]  Viktoria Schmitt,et al.  Pressure distributions on the ONERA M6 wing at transonic Mach numbers , 1979 .

[3]  S. Spekreijse Elliptic grid generation based on Laplace equations and algebraic transformations , 1995 .

[4]  Rob Hagmeijer Grid adaption based on modified anisotropic diffusion equations formulated in the parametric domain , 1994 .

[5]  D. A. Johnson,et al.  Improvements to a nonequilibrium algebraic turbulence model , 1990 .

[6]  R. Tognaccini,et al.  Boundary conditions for Euler equations at internal block faces of multi-block domains using local grid refinement , 1990 .

[7]  R. C. Swanson,et al.  On Central-Difference and Upwind Schemes , 1992 .

[8]  Bram van Leer,et al.  Design of Optimally Smoothing Multi-Stage Schemes for the Euler Equations , 1989 .

[9]  R. Ramakrishnan,et al.  A detailed study of mean-flow solutions for stability analysis of transitional flows , 1993 .

[10]  Cord-Christian Rossow,et al.  Efficient computation of inviscid flow fields around complex configurations using a multiblock multigrid method , 1992 .

[11]  Eli Turkel,et al.  Aspects of a high-resolution scheme for the Navier-Stokes equations , 1993 .

[12]  R. Radespiel,et al.  Cell centered and cell vertex multigrid schemes for the Navier-Stokes equations , 1991 .

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

[14]  S. P. Spekreijse,et al.  The design of a system of codes for industrial calculations of flowsaround aircraft and other complex aerodynamic configurations , 1992 .

[15]  P. Libby,et al.  Analysis of Turbulent Boundary Layers , 1974 .

[16]  Terry L. Holst,et al.  Viscous transonic airfoil workshop compendium of results , 1988 .

[17]  D. A. Johnson Nonequilibrium algebraic turbulence modeling considerations for transonic airfoils and wings , 1992 .

[18]  V. Vatsa,et al.  Prediction of separated transonic wing flows with a non-equilibrium algebraic model , 1989 .

[19]  Antony Jameson,et al.  Multigrid algorithms for compressible flow calculations , 1986 .

[20]  L Rumsey Christopher,et al.  A Comparison of the Predictive Capabilities of Several Turbulence Models Using Upwind and Central-Difference Computer Codes , 1993 .

[21]  Antony Jameson,et al.  Validation of a multigrid method for the Reynolds averaged equations , 1988 .

[22]  A. Jameson,et al.  Numerical solution of the Euler equations by finite volume methods using Runge Kutta time stepping schemes , 1981 .

[23]  D. A. Johnson,et al.  A new turbulence closure model for boundary layer flows with strong adverse pressure gradients and separation , 1984 .

[24]  D. A. Johnson Predictions of transonic separated flow with an eddy-viscosity/Reynolds-shear-stress closure model , 1985 .