TRANAIR - A computer code for transonic analyses of arbitrary configurations

Attention is given to a new approach to solving full potential equations about arbitrary configurations. Numerical algorithms from such fields as finite elements, preconditioned Krylov subspace methods, discrete Fourier analysis, and integral equations are combined to take advantage of the size and speed of current and emerging supercomputers. On the basis of this appraoch, a robust, efficient and easy to use computer code referred to as TRANAIR has been developed for transonic analysis of complex geometries.

[1]  S. Osher,et al.  A new class of high accuracy TVD schemes for hyperbolic conservation laws. [Total Variation Diminishing] , 1985 .

[2]  H. Bateman,et al.  IRROTATIONAL MOTION OF A COMPRESSIBLE INVISCID FLUID. , 1930, Proceedings of the National Academy of Sciences of the United States of America.

[3]  D. P. Young,et al.  GMRES acceleration of computational fluid dynamics codes , 1985 .

[4]  A. Jameson.  Iterative solution of transonic flows over airfoils and wings, including flows at mach 1 , 1974 .

[5]  W. S. Rowe,et al.  Prediction of unsteady aerodynamic loadings caused by leading edge and trailing edge control surface motions in subsonic compressible flow: Analysis and results , 1975 .

[6]  C. K. Yuen,et al.  Theory and Application of Digital Signal Processing , 1978, IEEE Transactions on Systems, Man, and Cybernetics.

[7]  M. Hafez,et al.  Artificial Compressibility Methods for Numerical Solutions of Transonic Full Potential Equation , 1979 .

[8]  Paul E. Rubbert,et al.  An improved higher order panel method for linearized supersonic flow , 1978 .

[9]  O. Widlund,et al.  On the Numerical Solution of Helmholtz's Equation by the Capacitance Matrix Method , 1976 .

[10]  R. L. Seliger,et al.  Variational principles in continuum mechanics , 1968, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[11]  Thomas H. Pulliam,et al.  Euler and Thin Layer Navier-Stokes Codes: ARC2D, ARC3D , 1984 .

[12]  Ivo Babuška,et al.  Error estimates for the combinedh andp versions of the finite element method , 1981 .

[13]  Mohan K. Kadalbajoo,et al.  Fast elliptic solvers—an overview , 1984 .

[14]  Transonic flow calculations using triangular finite elements , 1983 .

[15]  R. Glowinski,et al.  On the numerical solution of nonlinear problems in fluid dynamics by least squares and finite element methods (II). Application to transonic flow simulations , 1985 .

[16]  F. T. Johnson,et al.  A transonic rectangular grid embedded panel method , 1982 .

[17]  R. Maccormack.  Current status of numerical solutions of the Navier-Stokes equations , 1985 .

[18]  W. S. Rowe,et al.  Prediction of unsteady aerodynamic loadings caused by trailing-edge control-surface motions in subsonic compressible flow , 1972 .

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

[20]  A. R. Dusto,et al.  An advanced panel method for analysis of arbitrary configurations in unsteady subsonic flow , 1980 .

[21]  J. Cole,et al.  Calculation of plane steady transonic flows , 1970 .

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

[23]  O. Widlund,et al.  A Finite Element-Capacitance Matrix Method for the Neumann Problem for Laplace's Equation , 1980 .

[24]  P. E. Rubbert,et al.  Transonic flow computations using grid systems with block structure , 1981 .

[25]  C. W. Boppe,et al.  Simulated transonic flows for aircraft with nacelles, pylons, and winglets , 1980 .

[26]  T. Chan,et al.  Nonlinearly Preconditioned Krylov Subspace Methods for Discrete Newton Algorithms , 1984 .

[27]  A. Jameson,et al.  A multigrid method for the Navier Stokes equations , 1986 .

[28]  L. Morino,et al.  Subsonic Potential Aerodynamics for Complex Configurations: A General Theory , 1974 .

[29]  E. N. Tinoco,et al.  PAN AIR analysis of a transport high-lift configuration , 1986 .

[30]  A. R. Dusto.  Aerodynamic Analysis of a Fighter Aircraft with a Higher Order Paneling Method , 1980 .

[31]  R. Glowinski,et al.  Numerical Methods for Nonlinear Variational Problems , 1985 .

[32]  Robert W. Walters,et al.  Upwind relaxation algorithms for the Navier-Stokes equations , 1987 .

[33]  A. Shieh.  Fast poisson solvers on general two dimensional regions for the Dirichlet problem , 1978 .

[34]  R. Carmichael,et al.  PAN AIR - A higher order panel method for predicting subsonic or supersonic linear potential flows about arbitrary configurations , 1981 .

[35]  Ivo Babuška,et al.  Adaptive Finite Element Processes in Structural Mechanics. , 1984 .

[36]  R. A. James,et al.  The solution of Poisson''s equation for isolated source distributions , 1977 .

[37]  A. Mayo.  The Fast Solution of Poisson’s and the Biharmonic Equations on Irregular Regions , 1984 .