Multiscale sulfate attack on sewer pipes : numerical study of a fast micro-macro mass transfer limit
Vladimı́r Chalupecký, Tasnim Fatima, Adrian Muntean · QIR (Kyushu University Institutional Repository) (Kyushu University) · 2010
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.