scholarly journals Final Technical Report - Stochastic Analysis of Advection-Diffusion-reaction Systems with Applications to Reactive Transport in Porous Media - DE-FG02-07ER24818

2014 ◽  
Author(s):  
George Em Karniadakis
Keyword(s):  
Porous Media ◽  
Stochastic Analysis ◽  
Reactive Transport ◽  
Diffusion Reaction ◽  
Reaction Systems ◽  
Transport In Porous Media ◽  
Advection Diffusion ◽  
Technical Report

A numerical algorithm for computational modelling of coupled advection-diffusion-reaction systems

2018 ◽  
Vol 35 (3) ◽  
pp. 1383-1401 ◽  
Author(s):  
Ram Jiwari ◽  
Stefania Tomasiello ◽  
Francesco Tornabene
Keyword(s):  
Linear Models ◽  
Differential Quadrature Method ◽  
Computational Modelling ◽  
Coupled System ◽  
Diffusion Reaction ◽  
Content Type ◽  
Reaction Systems ◽  
Brusselator Model ◽  
Advection Diffusion ◽  
Different Types

Purpose This paper aims to capture the effective behaviour of nonlinear coupled advection-diffusion-reaction systems and develop a new computational scheme based on differential quadrature method. Design/methodology/approach The developed scheme converts the coupled system into a system of ordinary differential equations. Finally, the obtained system is solved by a four-stage RK4 scheme. Findings The developed scheme helped to capture the different types of patterns of nonlinear time-dependent coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear model which are similar to the existing patterns of the models. Originality/value The originality lies in the fact that the developed scheme is new for coupled advection-diffusion-reaction systems such as Brusselator model, Chemo-taxis model and linear models. Second, the captured pattern is similar to the existing patterns of the models.

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