Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit

V. Chalupecky, T. Fatima, A. Muntean

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Abstract

We present two multiscale reaction-diffusion (RD) systems modeling sulfate attack in concrete structures (here: sewer pipes). The systems are posed on two different spatially separated scales. The only difference between them is the choice of the micro-macro transmission condition. We explore numerically the way the macroscopic Biot number Bi^M connects the two reaction-diffusion scenarios. We indicate connections between the solution of the "regularized" system (with moderate size of Bi^M) and the solution to the "matched" system (with blowing up size of Bi^M), where Henry's law plays the role of the micro-macro transmission condition. Keywords: Multiscale RD system, micro-macro transmission conditions, sulfate corrosion, acid attack, modeling of concrete, method of lines, finite difference scheme, convergence rates.
Original languageEnglish
Place of PublicationEindhoven
PublisherTechnische Universiteit Eindhoven
Number of pages11
Publication statusPublished - 2010

Publication series

NameCASA-report
Volume1040
ISSN (Print)0926-4507

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