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    A Direct Numerical Simulation of a Computational Fluid Dynamics Application Using the Navier-Stokes Equations and Finite Differences

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    2009_BernstenC_THS_000559.pdf (4.877Mb)
    Author
    Bernsten, Carl
    Date of Issue
    2009-04-01
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    URI
    https://scholars.carroll.edu/handle/20.500.12647/3428
    Title
    A Direct Numerical Simulation of a Computational Fluid Dynamics Application Using the Navier-Stokes Equations and Finite Differences
    Type
    thesis
    Abstract
    When engineers design objects that interact with fluids, they must spend a considerable amount of time understanding the relationship between the fluid and the object. One method is to perform scale tests that involve a complicated apparatus to simulate the fluid flow and provide a way of obtaining measurements. This procedure is expensive and time consuming, sometimes costing thousands of dollars an hour and taking many weeks. As a result, engineers use Computational Fluid Dynamics (CFD) so that an object and a fluid flow can be simulated, thus minimizing time and cost. I will explore a method used to make a two dimensional CFD program using the Navier-Stokes equations for fluid flow, and the Finite Differences Method for CFD. I will then use my program to demonstrate how an airfoil and air interact to produce lift and drag.
    Degree Awarded
    Bachelor's
    Semester
    Spring
    Department
    Mathematics, Engineering & Computer Science
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    • Mathematics, Engineering and Computer Science Undergraduate Theses

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