PROGRESS TOWARDS A 3D AERODYNAMIC SHAPE OPTIMIZATION TOOL FOR THE COMPRESSIBLE, ElGE-Re NAVIER-STOKES EQUATIONS DISCRETIZED ON UNSTRUCTURED MESHES.

We report on recent progress towards the development of a 3D optimization capability for transonic flow at high Reynolds numbers. In this paper we demonstrate optimization based on the 3D laminar Navier-Stokes equation, and we present validation of the flow analysis scheme based on the 2D Navier-Stokes equations with turbulence modelling.

[1]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[2]  Mark Drela,et al.  Design and optimization method for multi-element airfoils , 1993 .

[3]  Editors , 1986, Brain Research Bulletin.

[4]  Antony Jameson,et al.  Flux-limited schemes for the compressible Navier-Stokes equations , 1995 .

[5]  A. Jameson,et al.  Optimum Aerodynamic Design Using the Navier–Stokes Equations , 1997 .

[6]  Philip E. Gill,et al.  Practical optimization , 1981 .

[7]  Peter A. Gnoffo,et al.  Enhancements to Program LAURA for computation of three-dimensional hypersonic flow , 1987 .

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

[9]  J. Peraire,et al.  Practical Three-Dimensional Aerodynamic Design and Optimization Using Unstructured Meshes , 1997 .

[10]  Antony Jameson,et al.  Optimum aerodynamic design using the Navier-Stokes equations , 1997 .

[11]  T. Papanastasiou,et al.  Viscous Fluid Flow , 1999 .

[12]  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.

[13]  P. Gnoffo.  An upwind-biased, point-implicit relaxation algorithm for viscous, compressible perfect-gas flows , 1990 .

[14]  Jaime Peraire,et al.  Practical 3D aerodynamic design and optimization using unstructured meshes , 1996 .

[15]  P. A. Gnoffo,et al.  Point-implicit relaxation strategies for viscous, hypersonic flows , 1989 .

[16]  Jonathan Kindred Elliott.  Aerodynamic optimization based on the Euller and Navier-Stokes equations using unstructured grids , 1998 .

[17]  P. Spalart.  A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[18]  J. Spurk.  Boundary Layer Theory , 2019, Fluid Mechanics.

[19]  Jaime Peraire,et al.  Aerodynamic design using unstructured meshes , 1996 .

[20]  Pieter G. Buning,et al.  User's manual for the HYPGEN hyperbolic grid generator and the HGUI graphical user interface , 1993 .

[21]  J. Peraire,et al.  Aerodynamic optimization of unstructured meshes with viscous effects , 1997 .

[22]  S. Allmaras,et al.  Analysis of a local matrix preconditioner for the 2-D Navier-Stokes equations , 1993 .

[23]  Ami Harten,et al.  Self adjusting grid methods for one-dimensional hyperbolic conservation laws☆ , 1983 .

[24]  A. Jameson.  Artificial diffusion, upwind biasing, limiters and their effect on accuracy and multigrid convergence in transonic and hypersonic flows , 1993 .

[25]  M. Drela.  Newton solution of coupled viscous/inviscid multielement airfoil flows , 1990 .