Feasibility of a special-purpose computer to solve the Navier-Stokes equations



Publisher: Rand in Santa Monica

Written in English
Published: Pages: 66 Downloads: 50
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Subjects:

  • Navier-Stokes equations.,
  • Computers, Special purpose.

Edition Notes

Bibliography: p. 65-66.

StatementE. C. Gritton ... [et al.]
Series[Report] - Rand Corporation ; R-2183-RC
ContributionsGritton, E. C.
The Physical Object
Paginationxi, 66 p. :
Number of Pages66
ID Numbers
Open LibraryOL16229601M

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Feasibility of a special-purpose computer to solve the Navier- Stokes equations. Santa Monica, CA: Rand, [] (OCoLC) Document Type: Book: All Authors /. This report summarizes the results of a two-day workshop at The RAND Corporation, Santa Monica, March, where participants discussed the feasibility of developing a special-purpose computer to solve the Navier-Stokes by: 7.

Title: Feasibility of a Special-Purpose Computer To Solve the Navier-Stokes Equations Author: Eugene C. Gritton Subject: This report summarizes the results of a two-day workshop at The RAND Corporation, Santa Monica, March, where participants discussed the feasibility of developing a special-purpose computer to solve the Navier-Stokes equations.

Inthe feasibility of a special-purpose Navier-Stokes computer was explored [3] in a workshop at Rand Corporation. In that workshop, Sutherland proposed Feasibility of a special-purpose computer to solve the Navier-Stokes equations book design for a special-purpose Navier-Stokes Computer (he called it the 'Straw-man' computer).

This design has a x array of small processors, con- trolled by a central by: 4. The applicability of the fluid dynamic equations in rock mechanics.

This report summarizes the feasibility of developing a special-purpose computer to solve the Navier-Stokes equations. The. The history of computing hardware covers the developments from early simple devices to aid calculation to modern day the 20th century, most calculations were done by humans.

Early mechanical tools to help humans with digital calculations, like the abacus, were called "calculating machines", called by proprietary names, or referred to as calculators. The Finite Element Method in Heat Transfer and Fluid Dynamics, Third Edition illustrates what a user must know to ensure the optimal application of computational procedures-particularly the Finite.

Basic Equations Models The basic equations are generally from continuum mechanics such as the Navier-Stokes-Fourier model for mass, momentum and energy conservation in fluids, heat conduction for solids, radiative energy transport, chemical-reaction laws, the Boltzmann equation, and many others.

The fundamental equations include also the. A discontinuous Galerkin method with enrichment and Lagrange multipliers (DGLM) is proposed for the solution of problems with boundary layers. Specifically, this includes the steady and unsteady advection-diffusion equation with a spatially-varying advection field.

The feasibility of a special-purpose computer to solve the of the Navier-Stokes equations", (). The future of the Microprocessor",Author: John. Holme. This banner text can have markup. web; books; video; audio; software; images; Toggle navigation.

Computational Fluid and Solid Mechanics to alleviate the computational cost associated to the return mapping and/or continuation schemes that are needed to solve the nonlinear governing equations and to detect regions of localization onset. This chapter outlines an efficient computer-based method of elastic-bending analysis of long.

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It only takes a minute to sign up. Sign up to join this community. Full text of "Surface Modeling, Grid Generation, and Related Issues in Computational Fluid Dynamic (CFD) Solutions" See other formats.

Navier-Stokes equations are about years old, and libraries have shelves of books devoted to boundary-layer theory, turbulence, flow through porous media, gas dynamics, and other facets of this broad and useful discipline. Chemical engi-neers share with other engineers their interest in the applications of fluid dynamics and their re.

Modular methods for computing the gcd of two univariate polynomials over an algebraic number field require a priori knowledge about the denominators of the rational numbers in the representation of the gcd.

We derive a multiplicative bound for these denominators without assuming that the number generating the field is an algebraic by: 8. There is no solution to the Navier-Stokes equations that works with any continuous gradient across that boundary.

It's one value on one side, and one value on the other, and in this infinitely. The accuracy of the reduced order model is assessed against full order results. Governing Equations For the moment, we consider the incompressible Navier–Stokes equations without any turbulence treatment as.u 0, u t (u.)u - νΔu p 0 Eq.

“A Data Parallel Implementation of an Explicit Method for the Compressible Navier– Stokes Equations for Three–Dimensional Channel Flow”, (with Pelle Olsson) Journal of Parallel Computing, Vol.

14. The history of computing hardware covers the developments from early simple devices to aid calculation to modern day computers.

Before the 20th century, most calculations were done by humans. Early mechanical tools to help humans with digital calculations were called "calculating machines", by proprietary names, or even as they are now, calculators.

A Data Parallel Implementation of an Explicit Method for the Compressible Navier– Stokes Equations for Three–Dimensional Channel Flow, P. Olsson, S.L.

Johnsson, Journal of Parallel Computing, Vol. 14, No. 1, pp. 1 – 30, The machine's special-purpose nature and lack of changeable, stored program distinguish it from modern computers.

The tests of the ABC computer in June were not successful. Instead of solving system of equations with 29 unknowns, the computer could solve Author: David J Strumfels. In addition, numerical solutions to the time-dependent incompressible Navier-Stokes problem are given to demonstrate the accuracy of the semi-discrete [L2, L2, L2] least-squares finite element approach.

Key Words. Navier-Stokes equations, Oseen-type equations, finite element methods, least squares. A computer program is a collection of instructions for performing a specific task that is designed to solve a specific class of problems.

The instructions of a program are designed to be executed by a computer and it is required that a computer is able to execute programs in order for it to function.

The instructions of a computer program are often specified by a computer programmer. The simplified system coupling the moment equations and the Navier-Stokes equations still possesses an approximated energy law analogous to the original micro-macro system.

Some other examples for complicated coupled models of polymer phase separation and dynamical cell membrane are introduced to expound the whole process.

• optimal control of stochastic Navier-Stokes equations; • quantum Hamilton equations from stochastic optimal control theory. This book is intended not only for graduate students in mathematics or physics, but also for mathematicians, mathematical physicists, theoretical physicists, and science researchers interested in the physical.

The author derives incompressible Navier-Stokes equations and discusses the mathematical nature of their solutions. this book focuses on electrical engineering and elaborates on how electrical.

Our strategy is to solve the underlying system of partial differential equations directly, without the need of setting up a parametrized basis of constant flux states.

We validate this approach in one-dimensional as well as in cylindrical systems, and demonstrate its scalability to full-vector three-dimensional calculations in photonic-crystal. The book makes every attempt to blend together the traditional theoretical material on differential equations and the new techniques afforded by computer algebra systems.

The CD-ROM contains all the electronic material for mastering and enjoying the computer component of the book.' (International Aerospace Abstracts, Vol. 42 (5), ). CONTENTS 1 Introduction. 2 Mathematical Preliminaries, Integral Formulations, and Variational Methods.

3 Second-order Differential Equations in One Dimension: Finite Element Models. 4 Second-order Differential Equations in One Dimension: Applications. 5 Beams and Frames. 6 Eigenvalue and Time-Dependent Problems.

7 Computer Implementation. engineering - McGraw-Hill Education highly readable writing style and mathematical clarity of the first edition are continued in this edition. Major revisions in. by Clarence C. Rodrigues, and Stephen K.

Cusick. (August ) / hardcover / pages y of presentation for which this book is well known. It is an ideal teaching and learning tool for a.Analytical treatments are provided based on the Navier-Stokes equations.

Introductions are also given into numerical and experimental methods applied to flows. The main benefit the reader will derive from the book is a sound introduction into fluid mechanics with introductions into subfields that are of interest to engineering and.Compressible boundary layer equations, Recovery factor, similarity solutions, la minar supersonic Cone rule, shock-boundary layer interaction Fundamental equations of viscous flow, Conservation of mass, Conservation of Mom entum-Navier-Stokes equations, Energy equation, Mathematical character of basic equations, Dimensional parameters in.