Multidimensional Finite-Element Particle Tracking Method for Solving Complex Transient Flow Problems

    Authors

    H. Suk;G. T. Yeh

    Comments

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    Abbreviated Journal Title

    J. Hydrol. Eng.

    Keywords

    COMPUTATION; ALGORITHM; MODELS; Engineering, Civil; Environmental Sciences; Water Resources

    Abstract

    This paper proposes a particle tracking technique for applying the Eulerian-Lagrangian localized adjoint method or the Eulerian-Lagrangian method to solve transport equations in a rapidly changing unsteady flow. The proposed particle tracking technique uses a linear temporal interpolation of velocity to avoid the error introduced when using a stepwise temporal approximation of the velocity, which has been adopted in many existing particle tracking techniques. Numerical experiments were carried out on several example problems to demonstrate the superior accuracy and efficiency of the proposed particle tracking technique over Cheng's and Pollock's methods. The numerical results show that the use of a linear temporal interpolation of velocity can allow an increase in time step size without causing a significant decrease in accuracy, particularly under a complicated transient flow or a rapidly changing velocity field with time.

    Journal Title

    Journal of Hydrologic Engineering

    Volume

    14

    Issue/Number

    7

    Publication Date

    1-1-2009

    Document Type

    Article

    Language

    English

    First Page

    759

    Last Page

    766

    WOS Identifier

    WOS:000267054700012

    ISSN

    1084-0699

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