## Feasibility of a Special-purpose Computer to Solve the Navier- Stokes EquationsThis report summarizes the feasibility of developing a special-purpose computer to solve the Navier-Stokes equations. The conclusions suggest that a special-purpose, parallel-processor machine capable of important fluid dynamics simulations might be technically and economically feasible in the early 1980 time period. The report presents a conceptual design for such a computer, an analysis of how it can be used to solve the Navier-Stokes equations, and performance estimates. |

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### Contents

WORKSHOP ORGANIZATION AND DISCUSSION OF RESULTS | 7 |

CONCLUSIONS AND RECOMMENDATIONS | 18 |

REFERENCES | 65 |

### Common terms and phrases

1700 Main Street addition algorithms application array computer bits boundary conditions calculation cell computer cell i,j cell-to-cell transfer Charles Thacker chip components computational fluid dynamics computer technology computing elements computing power conventional computer Corporation 1700 Main cost Department The Rand feasibility finite-difference fluid cells fluid mechanics Fourier modes Fourier-Transform Gazley general-purpose computer geometry grid points Grosch hardware ILLIAC ILLIAC IV in-cell transfer integrated circuits iterations Ivan Sutherland Jacobi method Main Street Santa microprocessors modeling multiplication Navier-Stokes computer Navier-Stokes equations nearest neighbors number of grid number of operations numerical analysis numerical simulation Old Dominion University OPERATION COUNT parallel performance Poisson equation POISSON PROBLEM preliminary Rand study pressure field processing elements processor puter Rand Corporation 1700 ratio relaxation Reynolds numbers Santa Monica schemes sequential solution solve the Navier-Stokes special-purpose computer step storage stored Street Santa Monica tion workshop participants