properties. transformations are restricted, non- : conformal orthogonal transformations are The two main approaches are: a) methods based on the solution algebraic complete survey of grid generation techniques presented in Refs. [1] to [5]. one, although ensures univalent mapping and grid naturally smooth, requires computational effort similar to that for the solution of equations. The algebraic approach, on the other very attractive because the time chosen because simplicity for or parabolic problems, the latter being the motivation for the investigation.

doi:10.1201/9781482286809-172

Chapter

No Image Available

Chapter

conformal orthogonal transformations are The two main approaches are: a) methods based on the solution algebraic complete survey of grid generation techniques presented in Refs. [1] to [5]. one, although ensures univalent mapping and grid naturally smooth, requires computational effort similar to that for the solution of equations. The algebraic approach, on the other very attractive because the time chosen because simplicity for or parabolic problems, the latter being the motivation for the investigation.

ABSTRACT

properties. As conformal transformations are restricted, nonorthogonal transformations are common. The two main approaches are: a) methods based on the solution of partial differential equations and b) algebraic methods. A complete survey of grid generation techniques is presented in Refs. [1] to [5]. The first one, although ensures univalent mapping and a grid naturally smooth, requires a computational effort similar to that needed for the solution of the flow equations. The algebraic approach, on the other hand, is very attractive because the computer time required is quite small, and a interactive grid generation via a graphic terminal is feasible. In the present work, the algebraic algorithm called 'Multisurface Method' is implemented. This method generates the grid joining together corresponding points on inner and outer configuration boundaries by polynomial curves. It was chosen because of it simplicity for 2-D or 3-D parabolic problems, the latter being the motivation for the investigation.