ON PARTICLE PATH GENERATION BASED ON QUADRILINEAR INTERPOLATION AND BERNSTEIN-BEZIER POLYNOMIALS

Particle path computation in unsteady 3D vector fields given in discre te, structured form (i.e., as a hexahedral curvilinear grid) requires the local approximation of the vector field and the path, Quadrilinear interpolation and Bernstein-Bezier polynomials are used for the local vector field and path approximation, The next point in a sequence of points on a particle path is computed using this local approximation. Bernstein-Bezier polynomials are primarily used in geometric modeling, and their properties allow direct computation bf points on a particle path.