21 October 1996 Implementation of a finite difference method on a custom computing platform
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Abstract
The finite difference method is a numerical analysis technique used to solve problems involving irregular geometries, complicated boundary conditions, or both. The geometries are represented using partial differential equations. The solutions to the partial differential equations can be easily generated with the aid of a computer. As the geometries become increasingly complex, the solutions of the partial differential equations become computationally more intensive. Configurable computing machines are an emerging class of computing platform which are characterized by providing the computational performance of application specific processors, yet retaining the flexibility and rapid reconfigurability attributed to general-purpose processors over a diversity of tasks. Structural modeling of underwater vehicles relies upon analysis involving complex boundary conditions. The finite difference method can be used to perform heat and shock analysis on the vehicles. This paper presents an implementation and performance figures for a specific domain of the finite difference method -- a two-dimensional heat transfer modeling system using a Splash-2 configurable computing machine (CCM).
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Kevin Paar, Kevin Paar, Peter M. Athanas, Peter M. Athanas, Carleen M. Edwards, Carleen M. Edwards, } "Implementation of a finite difference method on a custom computing platform", Proc. SPIE 2914, High-Speed Computing, Digital Signal Processing, and Filtering Using Reconfigurable Logic, (21 October 1996); doi: 10.1117/12.255834; https://doi.org/10.1117/12.255834
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