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Dynamic Subtiming-Based Implicit Nonoscillating Scheme for Contaminant Transport Modeling
, Chaitali Misra, S. T. Manikandan, Sorab Panday
Published in ASCE
2012
Volume: 17
   
Issue: 6
Pages: 694 - 703
Abstract
A dynamic subtime-stepping method is described for solving contaminant transport problems that utilize higher-order implicit time-marching procedures with higher-accuracy nonoscillating spatial-discretization methods to resolve sharp-plume fronts in advection-dominated systems. Nonoscillating spatial-discretization methods for the advective term prevent unphysical oscillations and minimize numerical diffusion. Second-order temporal accuracy is achieved by using the Crank-Nicholson implicit scheme, however nonoscillating properties may be violated for Courant Numbers larger than one, leading to spurious oscillations. The proposed subtiming method allows use of small time-step sizes in critical portions of a domain, with larger time-step sizes in other locations. This locally limits the Courant number where required and still keeps the general solution free of time-step size restrictions. This technique makes it possible to apply higher-order nonoscillating schemes with higher-order temporal weighting for advection-dominated flows, even when the Courant number is much greater than one. Feasibility and applicability of the dynamic implicit subtiming method are demonstrated through three proof-of-concept example problems. © 2012 American Society of Civil Engineers.
About the journal
JournalJournal of Hydrologic Engineering
PublisherASCE
ISSN10840699
Open AccessNo
Concepts (25)
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    Contaminant transport
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    CONTAMINANT TRANSPORT MODELING
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    COURANT NUMBERS
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    DYNAMIC IMPLICIT
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    General solutions
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    Higher order
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    Implicit schemes
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    NUMERICAL DIFFUSION
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    Proof of concept
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    Second orders
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    SPURIOUS OSCILLATIONS
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    SUBSURFACE FLOW
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    TIME MARCHING
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    TIME STEP SIZE
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    Transport
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    Discrete event simulation
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    Numerical models
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    Pollution
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    Volume measurement
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    Advection
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    Diffusion
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    Dimensionless number
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    Numerical model
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    Pollutant transport
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    SUBSURFACE FLOW