Elliptic generation of composite three-dimensional grids about realistic aircraft

An elliptic method for generating composite grids about realistic aircraft is presented. A body-conforming grid is first generated about the entire aircraft by the solution of Poisson's differential equation. This grid has relatively coarse spacing, and it covers the entire physical domain. At boundary surfaces, cell size is controlled and cell skewness is nearly eliminated by inhomogeneous terms, which are found automatically by the program. Certain regions of the grid in which high gradients are expected, and which map into rectangular solids in the computational domain, are then designated for zonal refinement. Spacing in the zonal grids is reduced by adding points with a simple, algebraic scheme. Details of the grid generation method are presented along with results of the present application, a wing-body configuration based on the F-16 fighter aircraft.

[1]  M. M. Rai,et al.  Applications of a conservative zonal scheme to transient and geometrically complex problems , 1986 .

[2]  P. D. Thomas.  Numerical generation of composite three dimensional grids by quasilinear elliptic systems , 1982 .

[3]  J. F. Thompson,et al.  Transformation of three-dimensional regions onto rectangular regions by elliptic systems , 1978 .

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

[5]  R. L. Sorenson,et al.  Automatic mesh-point clustering near a boundary in grid generation with elliptic partial differential equations , 1979 .

[6]  T. H. Pulliam,et al.  A zonal approach to solution of the Euler equations , 1982 .

[7]  R. Sorenson.  A computer program to generate two-dimensional grids about airfoils and other shapes by the use of Poisson's equation , 1980 .

[8]  R. L. Sorenson,et al.  Grid generation in three dimensions by Poisson equations with control of cell size and skewness at boundary surfaces , 1983 .

[9]  E. Atta,et al.  Component-adaptive grid interfacing , 1981 .

[10]  J. Benek,et al.  A flexible grid embedding technique with application to the Euler equations , 1983 .

[11]  J. Vadyak,et al.  A grid interfacing zonal algorithm for three-dimensional transonic flows about aircraft configurations , 1982 .

[12]  T. A. Edwards.  Definition and verification of a complex aircraft for aerodynamic calculations , 1986 .

[13]  R. L. Sorenson,et al.  Three-dimensional elliptic grid generation about fighter aircraft for zonal finite-difference computations , 1986 .

[14]  Terry L. Holst,et al.  Numerical solution of transonic wing flows using an Euler/Navier-Stokes zonal approach , 1985 .