Numerical analysis of liquid-solid adsorption model

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...

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Published inMathematical modelling and analysis Vol. 24; no. 4; pp. 598 - 616
Main Authors Leonavičienė, Teresė, Čiegis, Raimondas, Baltrėnaitė, Edita, Chemerys, Valeriia
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 25.10.2019
Subjects
Adaptive algorithms
Adsorption
adsorption models
Algorithms
Comparative analysis
Computer simulation
Finite volume method
Mathematical models
numerical algorithms
Numerical analysis
Numerical integration
Parameter sensitivity
Sensitivity analysis
Solvers
Surface diffusion
Time
Time integration
numerical algorithms
finite volume method
sensitivity analysis
adsorption models
Online AccessGet full text
ISSN1392-6292
1648-3510
1648-3510
DOI10.3846/mma.2019.036

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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.
AbstractList 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.
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. Keywords: numerical algorithms, finite volume method, adsorption models, sensitivity analysis. AMS Subject Classification: 65N08; 65N12; 65N22; 35Q92.
Audience Academic
Author Baltrėnaitė, Edita
Leonavičienė, Teresė
Čiegis, Raimondas
Chemerys, Valeriia
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SubjectTerms Adaptive algorithms
Adsorption
adsorption models
Algorithms
Comparative analysis
Computer simulation
Finite volume method
Mathematical models
numerical algorithms
Numerical analysis
Numerical integration
Parameter sensitivity
Sensitivity analysis
Solvers
Surface diffusion
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