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Coupled Reaction-Diffusion Systems and Evolving Microstructure: Mathematical Modelling and Homogenisation

AUTHOR Peter, Malte Andreas
PUBLISHER Logos Verlag Berlin (03/16/2007)
PRODUCT TYPE Paperback (Paperback)

Description
Chemical processes in porous media are modelled on the pore scale using reaction-diffusion equations. The resulting prototypical systems of coupled linear and nonlinear differential equations are homogenised in the context of periodic media. Particular attention is paid to the scaling of certain terms of the reaction-diffusion system with powers of the homogenisation parameter and the accounting for an evolution of the microstructure. Numerical simulations confirm the appropriateness of the resulting macroscopic limit problems. Moreover, simulations for the real-world problem of concrete carbonation are performed showing that the accounting for the evolution of the microstructure leads to a better approximation of experimental data.
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Product Details
ISBN-13: 9783832515034
ISBN-10: 3832515038
Binding: Paperback or Softback (Trade Paperback (Us))
Content Language: German
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Page Count: 170
Carton Quantity: 1
Country of Origin: US
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BISAC Categories
Mathematics | General
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Chemical processes in porous media are modelled on the pore scale using reaction-diffusion equations. The resulting prototypical systems of coupled linear and nonlinear differential equations are homogenised in the context of periodic media. Particular attention is paid to the scaling of certain terms of the reaction-diffusion system with powers of the homogenisation parameter and the accounting for an evolution of the microstructure. Numerical simulations confirm the appropriateness of the resulting macroscopic limit problems. Moreover, simulations for the real-world problem of concrete carbonation are performed showing that the accounting for the evolution of the microstructure leads to a better approximation of experimental data.
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Paperback