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Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Particle Transport Model ♦ Advection-diffusion Equation ♦ Lagrangian Model ♦ One-dimensional Particle Transport Problem ♦ Variance Reduction Method ♦ Accurate Estimate ♦ Depth-averaged Form ♦ So-called Particle Model ♦ Control Variate ♦ Coastal Area ♦ Ensemble Average ♦ Satisfactory Result ♦ Distinct Advantage ♦ Numerical Approximation ♦ Problem Several Variance Reduction Method ♦ Deter-ministic Transport Model ♦ Attractive Way ♦ Particle Transport Problem ♦ Two-dimensional Situation ♦ Reliable Predic-tions ♦ Many Particle Track
Abstract Prediction of the transport of pollutants in coastal areas is often performed with the aid of a so-called particle model. These types of models are Lagrangian models based on the advection-diffusion equation, either in three dimensions, or in a depth-averaged form. Although these types of models have very distinct advantages when compared to deter-ministic transport models based on a numerical approximation of the advection-diffusion equation, there are some disadvantages. One of these is that because the model is stochas-tic in nature, many particle tracks need to be simulated in order to make reliable predic-tions. In order to address this problem several variance reduction methods are available. With the aid of these methods it is possible to estimate an ensemble average of the concentration using significantly less particles. In this study the efficiency of the method of control variates is first investigated in a one-dimensional particle transport problem. Because satisfactory results are obtained, it is then applied to a two-dimensional situation. Although the problem becomes more complicated, the concept remains the same. It is shown that such a variance reduction method is an attractive way to decrease the number of computations in particle transport problems, especially when accurate estimates are needed. 1.
Educational Role Student ♦ Teacher
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Education Level UG and PG ♦ Career/Technical Study