Abstract
The adjustment of grid steps which guarantees that particles methods yield no numerical diffusion inevitably induces overshooting errors in the solution of the parabolic partial differential equations with space variable coefficients.
In this paper we give an evaluation of the overshooting errors of the “global random walk” algorithm (GRW), a computational efficient method used in simulations for transport in environmental problems.
The evaluation is performed by comparisons between the GRW solutions and those of the “biased global random walk” algorithm (BGRW), a cellular automaton, which is computational more expensive but is also free of overshooting errors.
The reference problem was the diffusive transport in a random velocity field, a model for the transport of the contaminant solutes in groundwater.
The evaluation reveals that, for an optimum choice of the parameters, GRW results for time intervals of practical interest lie in ranges of acceptable precision, for both the ensemble averaged observables and for their fluctuations
Authors
Keywords
Overshooting; global random walk; groundwater contamination
References
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Paper coordinates
N. Suciu, C. Vamoş, Evaluation of overshooting errors in particle methods for diffusion by biased global random walk, Rev. Anal. Numér. Théor. Approx., 35 (2006), pp. 119-126
About this paper
Journal
Rev. Anal. Numer. Theor. Approx.
Publisher Name
Editura Academiei Romane
DOI
not available yet.
Print ISSN
1222-9024
Online ISSN
2457-8126
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