Contributions to the Resolution of the Data Workshop Test Cases

The following sections contain the different contributions from the ECARP consortium to the resolution of the workshop test cases defined in section II. Each contribution contains a theoretical description of the optimization technique used by each partner and the results obtained by using this techniques for the resolution of some test cases.

[1]  Zbigniew Michalewicz,et al.  An Experimental Comparison of Binary and Floating Point Representations in Genetic Algorithms , 1991, ICGA.

[2]  Peter Eliasson,et al.  Implementation of a multidomain Navier-Stokes code on the Intel iPSC2 hypercube , 1992 .

[3]  Luciano Fornasier,et al.  Treatment of supersonic configurations by an updated low-order panelmethod , 1984 .

[4]  B. J. Abu-Ghannam,et al.  Natural Transition of Boundary Layers—The Effects of Turbulence, Pressure Gradient, and Flow History , 1980 .

[5]  J. Z. Zhu,et al.  The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique , 1992 .

[6]  V. N. Vatsa Accurate solutions for transonic viscous flow over finite wings , 1986 .

[7]  Peter Bradshaw,et al.  Calculation of boundary-layer development using the turbulent energy equation: compressible flow on adiabatic walls , 1971, Journal of Fluid Mechanics.

[8]  R. C. Swanson,et al.  Efficient cell-vertex multigrid scheme for the three-dimensional Navier-Stokes equations , 1990 .

[9]  Arthur Rizzi,et al.  Numerical methods for the computation of inviscid transonic flows with shock waves : a GAMM workshop , 1981 .

[10]  J. Cea Optimisation : théorie et algorithmes , 1971 .

[11]  Henk A. van der Vorst,et al.  Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems , 1992, SIAM J. Sci. Comput..

[12]  M. Berger ON CONSERVATION AT GRID INTERFACES. , 1987 .

[13]  G. E. Schneider,et al.  A three-dimensional modified strongly implicit procedure for heat conduction , 1983 .

[14]  Charbel Farhat,et al.  Transient finite element computations on 65536 processors: The connection machine , 1990 .

[15]  A. Jameson,et al.  Numerical calculation of the transonic flow past a swept wing. [FLO 22] , 1977 .

[16]  G. N. Vanderplaats,et al.  ADS: A FORTRAN program for automated design synthesis: Version 1.10 , 1984 .

[17]  K. D. Papailiou,et al.  Compressible flow airfoil design using natural coordinates , 1993 .

[18]  Charles Hirsch,et al.  Nonequilibrium Flow Computations with General Thermochemistry in a Multigrid-Multiblock Framework , 1995 .

[19]  I. Lindblad,et al.  The engineering of multiblock/multigrid software for Navier-Stokes flows on structured meshes , 1993 .

[20]  M. Rai A conservative treatment of zonal boundaries for Euler equation calculations , 1986 .

[21]  Meng-Sing Liou,et al.  Conservative treatment of boundary interfaces for overlaid grids and multi-level grid adaptations , 1989 .

[22]  Jacques Periaux,et al.  Genetic Algorithms in Engineering and Computer Science , 1996 .

[23]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme I. The quest of monotonicity , 1973 .

[24]  D. Marquardt An Algorithm for Least-Squares Estimation of Nonlinear Parameters , 1963 .

[25]  Richard H. Gallagher,et al.  Finite elements in fluids , 1975 .

[26]  Paul S. Granville,et al.  THE CALCULATION OF THE VISCOUS DRAG OF BODIES OF REVOLUTION , 1953 .

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

[28]  G. Zoutendijk,et al.  Methods of Feasible Directions , 1962, The Mathematical Gazette.

[29]  Gabriel Bugeda,et al.  A STUDY OF MESH OPTIMALITY CRITERIA IN ADAPTIVE FINITE ELEMENT ANALYSIS , 1993 .

[30]  O. C. Zienkiewicz,et al.  The finite element method, fourth edition; volume 2: solid and fluid mechanics, dynamics and non-linearity , 1991 .

[31]  S. Taasan One shot methods for optimal control of distributed parameter systems 1: Finite dimensional control , 1991 .

[32]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[33]  William H. Press,et al.  Numerical recipes , 1990 .

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

[35]  G. D. Mortchelewicz Résolution des équations d'Euler tridimensionnelles instationnaires en maillage non structuré , 1991 .

[36]  Christian Olivier,et al.  Resolution numerique des equations de Navier-Stokes pour un fluide compressible en maillage triangulaire , 1989 .

[37]  Stéphane Lanteri,et al.  Simulation of compressible viscous flows on a variety of MPPs: computational algorithms for unstructured dynamic meshes and performance results , 1994 .

[38]  R. Schwane,et al.  An Implicit Flux-vector Splitting Scheme for the Computation of Viscous Hypersonic Flows , 1989 .

[39]  Ron F. Blackwelder,et al.  The growth and breakdown of streamwise vortices in the presence of a wall , 1987, Journal of Fluid Mechanics.

[40]  G. Vanderplaats Approximation concepts for numerical airfoil optimization , 1979 .

[41]  Yoram Yadlin,et al.  Block multigrid implicit solution of the Euler equations of compressible fluid flow , 1990 .

[42]  Hans-Paul Schwefel,et al.  Numerical Optimization of Computer Models , 1982 .

[43]  J. Green,et al.  Prediction of turbulent boundary layers and wakes in compressible flow by a lag-entrainment method , 1973 .

[44]  Olivier Pironneau Méthodes des éléments finis pour les fluides , 1989 .

[45]  K. D. Papailiou,et al.  Rotational Compressible Inverse Design Method for Two-Dimensional, Internal Flow Configurations , 1993 .

[46]  William Gropp,et al.  DOMAIN DECOMPOSITION METHODS IN COMPUTATIONAL FLUID DYNAMICS , 1991 .

[47]  J. W. Boerstoel,et al.  Design of transonic airfoils with given pressure, subject to geometric constraints , 1984 .

[48]  B. V. Leer,et al.  Towards the ultimate conservative difference scheme V. A second-order sequel to Godunov's method , 1979 .

[49]  Dieter Lasser,et al.  Grundlagen der geometrischen Datenverarbeitung , 1989 .

[50]  Peter Kosmol,et al.  Methoden zur numerischen Behandlung nichtlinearer Gleichungen und Optimierungsaufgaben , 1989 .

[51]  Fujio Yamaguchi,et al.  Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.

[52]  L. Fornasier,et al.  HISSS — A Higher-order Panel Method for Subsonic and Supersonic Attached Flow about Arbitrary Configurations , 1988 .

[53]  Paul E. Rubbert,et al.  A higher order panel method for linearized supersonic flow , 1976 .

[54]  H. V. D. Vorst,et al.  Conjugate gradient type methods and preconditioning , 1988 .

[55]  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.

[56]  Dimitri J. Mavriplis,et al.  Multigrid solution of the Navier-Stokes equations on triangular meshes , 1989 .

[57]  Michel Mallet,et al.  Development of a finite element Navier Stokes solver with applications to turbulent and hypersonic flows , 1992 .

[58]  R. Radespiel,et al.  An investigation of cell centered and cell vertex multigrid schemes for the Navier-Stokes equations , 1989 .

[59]  Andreas Vossinis Optimisation de forme d'aile d'avion , 1993 .

[60]  J. Steger,et al.  Flux vector splitting of the inviscid gasdynamic equations with application to finite-difference methods , 1981 .

[61]  Charbel Farhat,et al.  Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics , 1993 .

[62]  M. D. Salas,et al.  Aerodynamic design and optimization in one shot , 1992 .

[63]  John D Stanitz Design of two-dimensional channels with prescribed velocity distributions along the channel walls , 1953 .

[64]  Charles Hirsch,et al.  A new family of limiters within the multigrid/multiblock Navier-Stokes code EURANUS , 1993 .

[65]  Gerald Farin,et al.  Curves and surfaces for computer aided geometric design , 1990 .

[66]  L. Fezoui,et al.  A class of implicit upwind schemes for Euler simulations with unstructured meshes , 1989 .

[67]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[68]  Brian Maskew,et al.  Prediction of Subsonic Aerodynamic Characteristics: A Case for Low-Order Panel Methods , 1982 .

[69]  P. Bradshaw,et al.  Momentum transfer in boundary layers , 1977 .

[70]  Gabriel Bugeda,et al.  Optimum aerodynamic shape design including mesh adaptivity , 1995 .

[71]  H. C. Yee,et al.  Implicit Total Variation Diminishing (TVD) schemes for steady-state calculations. [in gas dynamics , 1985 .

[72]  R. M. Hicks,et al.  Transonic wing design using potential-flow codes - Successes and failures , 1981 .

[73]  K. D. Papailiou,et al.  Design of axisymmetric channels with rotational flow , 1994 .

[74]  Garret N. Vanderplaats,et al.  Numerical optimization techniques for engineering design , 1999 .

[75]  M. Giles,et al.  Newton solution of direct and inverse transonic Euler equations , 1985 .

[76]  Michael B. Bieterman,et al.  Practical Design and Optimization in Computational Fluid Dynamics , 1993 .

[77]  J. Peiro,et al.  Unstructured finite element mesh generation and adaptive procedures for CFD , 1990 .

[78]  E. Greff,et al.  Application of direct inverse analogy method (DIVA) and viscous design optimization techniques , 1991 .

[79]  P. Roe Numerical methods in aeronautical fluid dynamics , 1982 .

[80]  Stéphane Lanteri,et al.  Two-dimensional viscous flow computations on the Connection Machine: unstructured meshes, upwind schemes and massively parallel computations , 1993 .

[81]  M. Giles,et al.  ISES - A two-dimensional viscous aerodynamic design and analysis code , 1987 .

[82]  Peder Eliasson,et al.  Hypersonic Navier-Stokes computations about complex configurations , 1992 .

[83]  P. Chaviaropoulos,et al.  Meridional Flow Calculation Using Advanced CFD Techniques , 1992 .