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A novel computational method for modelling stochastic advection in heterogeneous media
Authors:Vasilly M Goloviznin  Vladimir N Semenov  Ivan A Korotkin  Sergey A Karabasov
Institution:(1) Nuclear Safety Institute, Russian Academy of Sciences, ul. Bolshaya Tulskaya 52, Moscow, 115191, Russia
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.
Keywords:Numerical methods for hyperbolic conservation laws  Anomalous contaminant transport  Stochastic advection model
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