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    General Conservation Equation for Solute Transport in Heterogeneous Porous Media 

    Source: Journal of Hydrologic Engineering:;2001:;Volume ( 006 ):;issue: 004
    Author(s): M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: In this study it is shown that in heterogeneous porous media all the ensemble average conservation equations, representing linear reactive and nonreactive transport at a spatial scale one step larger than the Darcy scale, ...
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    Change of Guard 

    Source: Journal of Hydrologic Engineering:;2004:;Volume ( 009 ):;issue: 004
    Author(s): M. Levent Kavvas
    Publisher: American Society of Civil Engineers
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    Nonlinear Hydrologic Processes: Conservation Equations for Determining Their Means and Probability Distributions 

    Source: Journal of Hydrologic Engineering:;2003:;Volume ( 008 ):;issue: 002
    Author(s): M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: The point-location-scale conservation equations of hydrologic processes, when viewed at the scale of computational grid areas, become stochastic partial differential equations (PDEs). For the upscaling of the point-location-scale ...
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    Special Issue on Modeling of Hydroclimate and Climate Change 

    Source: Journal of Hydrologic Engineering:;2011:;Volume ( 016 ):;issue: 012
    Author(s): M. Levent Kavvas
    Publisher: American Society of Civil Engineers
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    Awards: Best Paper 

    Source: Journal of Hydrologic Engineering:;2003:;Volume ( 008 ):;issue: 002
    Author(s): M. Levent Kavvas
    Publisher: American Society of Civil Engineers
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    Probabilistic Solution to Stochastic Overland Flow Equation 

    Source: Journal of Hydrologic Engineering:;2003:;Volume ( 008 ):;issue: 002
    Author(s): Jaeyoung Yoon; M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: In this paper, the second in a series of two, the theory developed in the companion paper is applied to the case of the stochastic overland flow equation, and a numerical solution method is presented for the resulting ...
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    Stochastic Point Rainfall Modeling for Correlated Rain Cell Intensity and Duration 

    Source: Journal of Hydrologic Engineering:;2006:;Volume ( 011 ):;issue: 001
    Author(s): Sangdan Kim; M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: A new stochastic point rainfall model which considers the correlation structure between rain cell intensity and duration is developed. In order to consider the positive and negative correlations simultaneously, the Gumbel’s ...
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    Generalized Fick’s Law and Fractional ADE for Pollution Transport in a River: Detailed Derivation 

    Source: Journal of Hydrologic Engineering:;2006:;Volume ( 011 ):;issue: 001
    Author(s): Sangdan Kim; M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: The fractional advection–dispersion equation (ADE) is a generalization of the classical ADE in which the second-order derivative is replaced with a fractional-order derivative. While the fractional ADE is analyzed as a ...
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    Symmetry in Nonlinear Hydrologic Dynamics under Uncertainty: Modeling Approach 

    Source: Journal of Hydrologic Engineering:;2009:;Volume ( 014 ):;issue: 010
    Author(s): Mesut Cayar; M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: Symmetry methods can be used to transform almost any kind of linear or nonlinear partial differential equation (PDE) that represents a hydrologic process in any dimension to an equivalent ordinary differential equation ...
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    Modeling of Solute Transport and Macrodispersion by Unsteady Stream Flow under Uncertain Conditions 

    Source: Journal of Hydrologic Engineering:;2008:;Volume ( 013 ):;issue: 006
    Author(s): Lan Liang; M. Levent Kavvas
    Publisher: American Society of Civil Engineers
    Abstract: A numerical simulation for a longitudinally one-dimensional upscaled solute transport model is developed in order to predict the mean solute concentration in natural streams subject to irregular variations in various flow ...
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