Solving Partial Differential Equation Using FPGA Technology

Abstract

This chapter introduces the method of using CNN technology on FPGA chips to solve differential equation with large space, with lager computing space, while limitation of resource chip on FPGA is needed, we have to find solution to separate differential space into several subspaces. Our solution will do: firstly, division of the computing space into smaller areas and combination of sequential and parallel computing; secondly, division and combination of boundary areas that are required to be continuous to avoid losing temporary data while processing (using buffer memory to store); and thirdly, real-time data exchange. The control unit controls the activities of the whole system set by the algorithm. We have configured the CNN chip for solving Navier-Stokes equation for the hydraulic fluid flow successfully on the Virtex 6 chip XCVL240T-1FFG1156 by Xilinx and giving acceptance results as well.