TY - GEN
T1 - Numerical simulation of geochemical compaction with discontinuous reactions
AU - Agosti, Abramo
AU - Formaggia, Luca
AU - Giovanardi, Bianca
AU - Scotti, Anna
PY - 2015
Y1 - 2015
N2 - The present work deals with the numerical simulation of porous media subject to the coupled effects of mechanical compaction and reactive flows that can significantly alter the porosity due to dissolution, precipitation or transformation of the solid matrix. These chemical processes can be effectively modelled as ODEs with discontinuous right hand side, where the discontinuity depends on time and on the solution itself. Filippov theory can be applied to prove existence and to determine the solution behaviour at the discontinuities. From the numerical point of view, tailored numerical schemes are needed to guarantee positivity, mass conservation and accuracy. In particular, we rely on an event-driven approach such that, if the trajectory crosses a discontinuity, the transition point is localized exactly and integration is restarted accordingly.
AB - The present work deals with the numerical simulation of porous media subject to the coupled effects of mechanical compaction and reactive flows that can significantly alter the porosity due to dissolution, precipitation or transformation of the solid matrix. These chemical processes can be effectively modelled as ODEs with discontinuous right hand side, where the discontinuity depends on time and on the solution itself. Filippov theory can be applied to prove existence and to determine the solution behaviour at the discontinuities. From the numerical point of view, tailored numerical schemes are needed to guarantee positivity, mass conservation and accuracy. In particular, we rely on an event-driven approach such that, if the trajectory crosses a discontinuity, the transition point is localized exactly and integration is restarted accordingly.
KW - Compaction processes
KW - Discontinuous RHS ODE
KW - Mineral dissolution/precipitation
UR - http://www.scopus.com/inward/record.url?scp=84938704025&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84938704025
T3 - COUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
SP - 300
EP - 311
BT - COUPLED PROBLEMS 2015 - Proceedings of the 6th International Conference on Coupled Problems in Science and Engineering
A2 - Onate, Eugenio
A2 - Papadrakakis, Manolis
A2 - Schrefler, Bernhard A.
PB - International Center for Numerical Methods in Engineering
T2 - 6th International Conference on Computational Methods for Coupled Problems in Science and Engineering, COUPLED PROBLEMS 2015
Y2 - 18 May 2015 through 20 May 2015
ER -