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Type: Text × Subject: Advection-diffusion equation ×

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    Comparison of finite difference and finite volume simulations for a sc-drying mass transport model
    (Basel : MDPI AG, 2020) Selmer, Ilka; Farrell, Patricio; Smirnova, Irina; Gurikov, Pavel
    Different numerical solutions of a previously developed mass transport model for supercritical drying of aerogel particles in a packed bed [Part 1: Selmer et al. 2018, Part 2: Selmer et al. 2019] are compared. Two finite difference discretizations and a finite volume method were used. The finite volume method showed a higher overall accuracy, in the form of lower overall Euclidean norm (l2) and maximum norm (l∞) errors, as well as lower mole balance errors compared to the finite difference methods. Additionally, the finite volume method was more efficient when the condition numbers of the linear systems to be solved were considered. In case of fine grids, the computation time of the finite difference methods was slightly faster but for 16 or fewer nodes the finite volume method was superior. Overall, the finite volume method is preferable for the numerical solution of the described drying model for aerogel particles in a packed bed. © 2020 by the authors. Licensee MDPI, Basel, Switzerland.
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    Two-particle models for the estimation of the mean and standard deviation of concentrations in coastal waters
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Spivakovskaya, Daria; Heemink, Arnold; Schoenmakers, John
    In this paper we study the mean and standard deviation of concentrations using random walk models. Two-particle models that takes into account the space correlation of the turbulence are introduced and some properties of the distribution of the particle concentration are studied. In order to reduce the CPU time of the calculation a new estimator based on reverse time diffusion is applied. This estimator has been introduced recently by Milstein, Schoenmakers, and Spokoiny (2004). Some numerical aspects of the implementation are discussed for relative simple test problems and finally a realistic application to predict the spreading of the pollutant in the Dutch coastal zone is described.