Modeling mass transfer in fracture flows with the time domain-random walk method
Kuva, J.; Voutilainen, M.; Mattila, K. (2019)
Kuva, J.
Voutilainen, M.
Mattila, K.
2019
Julkaisun pysyvä osoite on
https://urn.fi/URN:NBN:fi:tty-201909062074
https://urn.fi/URN:NBN:fi:tty-201909062074
Kuvaus
Peer reviewed
Tiivistelmä
The time domain-random walk method was developed further for simulating mass transfer in fracture flows together with matrix diffusion in surrounding porous media. Specifically, a time domain-random walk scheme was developed for numerically approximating solutions of the advection-diffusion equation when the diffusion coefficient exhibits significant spatial variation or even discontinuities. The proposed scheme relies on second-order accurate, central-difference approximations of the advective and diffusive fluxes. The scheme was verified by comparing simulated results against analytical solutions in flow configurations involving a rectangular channel connected on one side with a porous matrix. Simulations with several flow rates, diffusion coefficients, and matrix porosities indicate good agreement between the numerical approximations and analytical solutions.
Kokoelmat
- TUNICRIS-julkaisut [17001]