A novel computational method for modelling stochastic advection in heterogeneous media |
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Authors: | Vasilly M Goloviznin Vladimir N Semenov Ivan A Korotkin Sergey A Karabasov |
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Institution: | (1) Nuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191, Russia |
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Abstract: | The paper is devoted to a new computational method for problems of transport in highly non-uniform media. In particular, the
method is applied to the problem of anomalous contaminant transport in a field with a randomly distributed permeability, which
was modelled as a stochastic advection process governed by a stochastic advection model. The stochastic advection model is
used to generate different realisations of micro-dispersion parameters required for direct numerical simulations. The new
numerical method combines the merits of finite-volume and finite-difference approaches and is demonstrated to be efficient
and robust in several benchmark advection tests. For the stochastic advection problem considered the results of the new computational
method are in a good agreement with analytical predictions available for different stochastic advection regimes. |
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Keywords: | Numerical methods for hyperbolic conservation laws Anomalous contaminant transport Stochastic advection model |
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