TY - JOUR
T1 - An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media
AU - Zheng , Xiangcheng
AU - Wang , Hong
JO - CSIAM Transactions on Applied Mathematics
VL - 1
SP - 172
EP - 190
PY - 2022
DA - 2022/03
SN - 3
DO - http://doi.org/10.4208/csiam-am.2020-0216
UR - https://global-sci.org/intro/article_detail/csiam-am/20293.html
KW - Uncertainty quantification, MMOC, advective-diffusive transport.
AB - <p style="text-align: justify;">We analyze a stochastic modified method of characteristics (MMOC) modeling advective-diffusive transport in randomly heterogeneous porous media. Under the
log-normal assumption of the porous media and the finite-dimensional noise assumption that leads to unbounded diffusivity, we prove an optimal-order error estimate for
the stochastic MMOC scheme. Numerical experiments are presented to substantiate
the numerical analysis.</p>