2015 Summer Intern Experience
This publication contains the detailed abstracts describing the student experiences and posters from Summer 2015.
computer science↗
Engineering topics
Louis Edelman
Publications and source records attributed to Louis Edelman.
Field Reconstruction from PIV Measurements Employing Bernstein Polynomial Derived Operators
A fluid-dynamic reconstruction algorithm is presented that generates a least-squares best-fit, two-dimensional density field from a prespecified two-dimensional velocity field. This method recasts the mass-conservation equation as a modified Sylvester equation employing high-order operators derived from modified Bernstein polynomial expansions. To demonstrate its practical utility, this analytic methodology is applied to two canonical cases and a Particle Image Velocimetry dataset obtained from a Mach-2, mechanically back-pressured, isolator experiment. This methodology is envisioned to be used in conjunction with hypersonic-diagnostic techniques to aid in the quantification of isolator flow fields. However, also note that this reconstruction technique is well suited to other applications relevant to fluid dynamics, such as obtaining three-dimensional flow field reconstructions.
Bernstein Polynomials↗