Optical Matrix-Vector Processing For Computational Fluid Dynamics

Caroline J. Perlee; David P. Casasent

doi:10.1117/12.946946

22 August 1988 Optical Matrix-Vector Processing For Computational Fluid Dynamics

Caroline J. Perlee, David P. Casasent

Proceedings Volume 0936, Advances in Optical Information Processing III; (1988) https://doi.org/10.1117/12.946946
Event: 1988 Technical Symposium on Optics, Electro-Optics, and Sensors, 1988, Orlando, FL, United States

Abstract

An optical processor to solve partial differential equations for computational fluid dynamics applications is considered. This application is new and original for optical processors. The algorithms that are used are optical realizations of the Newton-Raphson method for nonlinear equations and a new optical LU direct decomposition and Gauss-Seidel iterative solution to the resultant linear algebraic equations. These algorithms are used to solve Burger's equation (a specific form of the momentum equation in fluid dynamics). The nonlinear equations provide 1-D velocity data at each time step. Simulation results of optical processing with these algorithms on computational fluid dynamics data is included.

Citation Download Citation

Caroline J. Perlee and David P. Casasent "Optical Matrix-Vector Processing For Computational Fluid Dynamics", Proc. SPIE 0936, Advances in Optical Information Processing III, (22 August 1988); https://doi.org/10.1117/12.946946

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