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On Particle Path Generation Based on Quadrilinear Interpolation and Bernstein-Bezier Polynomials

Abstract

Particle path computation in unsteady 3D vector fields given in discrete, 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 primarily used in geometric modeling, and their properties allow direct computation of points on a particle path.

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