MODIFICATION OF PARABOLIC GRID GENERATOR

V. A. Mikhalin
VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. Вып.1-2. С. 91-94.

      One of the more efficient generators of grids for time-dependent gas dynamics is the parabolic generator allowing to construct regular grids in domains with complex boundaries and demonstrating a relatively high speed. The grid is generated in two steps: algebraic predictor and parabolic corrector steps. The first step uses predefined values of grid node coordinates on the domain boundaries.
      However for complex configurations, fixing the grid nodes on the outer boundaries may lead to strong deformation of cells inside the domain or even to their degeneration. This paper proposes a modified algorithm where the predictor step does not fix grids nodes on the outer boundary specified by the reference nodes and local polynomials. The paper contains the polynomial descriptions and the examples of grids generated in the course of computations of flows over aircrafts and aerody namic interference.