Accession Number : ADP001002

Title :   Marching Grid Generation Using Parabolic Partial Differential Equations,


Personal Author(s) : Nakamura,S.

Report Date : 1982

Pagination or Media Count : 10

Abstract : The unique aspect of grid generation in computational fluid dynamics is that the grid generation equations have no physical meanings, so any equation may be used for this purpose if the grids generated are useful. This aspect provides a vast freedom in developing new methods of grid generation. This paper explores feasibility of using parabolic partial differential equations for grid generation. The advantages of using parabolic partial differential equations are as follows: (1) parabolic equations are initial value problems, so grids are generated by a marching algorithm like the hyperbolic grid generation method, (2) the parabolic partial differential equations have most properties of the elliptic equations, particularly the diffusion effect which smooths out any singularity of the inner boundary condition if any, and (3) the prescribed outer boundary conditions may be satisfied. The importance of the marching algorithm stated above is twofold: first, computational time required is only a very small fraction of that for the elliptic grid generation equations second, the fast-memory space required during grid generation can be substantially reduced from that required by the elliptic grid generation method. The authors consider the grid generation for a two-dimensional airfoil flow calculations for simplicity of discussions, although the method described in this paper is not restricted to two dimensions or airfoil problems.

Descriptors :   *Grids(Coordinates), *Partial differential equations, *Fluid dynamics, *Airfoils, Boundary value problems, Computations, Orthogonality, Fuselages, Wings

Distribution Statement : APPROVED FOR PUBLIC RELEASE