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Numerical analysis of liquid-solid adsorption model

    Teresė Leonavičienė Affiliation
    ; Raimondas Čiegis Affiliation
    ; Edita Baltrėnaitė Affiliation
    ; Valeriia Chemerys Affiliation

Abstract

In this paper, the numerical algorithms for solution of pore volume and surface diffusion model of adsorption systems are constructed and investigated. The approximation of PDEs is done by using the finite volume method for space derivatives and ODE15s solvers for numerical integration in time. The analysis of adaptive in time integration algorithms is presented. The main aim of this work is to analyze the sensitivity of the solution with respect to the main parameters of the mathematical model. Such a control analysis is done for a linearized and normalized mathematical model. The obtained results are compared with simulations done for a full nonlinear mathematical model.

Keyword : numerical algorithms, finite volume method, adsorption models, sensitivity analysis

How to Cite
Leonavičienė, T., Čiegis, R., Baltrėnaitė, E., & Chemerys, V. (2019). Numerical analysis of liquid-solid adsorption model. Mathematical Modelling and Analysis, 24(4), 598-616. https://doi.org/10.3846/mma.2019.036
Published in Issue
Oct 25, 2019
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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