An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media

Authors

  • Xiangcheng Zheng
  • Hong Wang

DOI:

https://doi.org/10.4208/csiam-am.2020-0216

Keywords:

Uncertainty quantification, MMOC, advective-diffusive transport.

Abstract

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.

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Published

2022-03-03

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Issue

Vol. 3 No. 1 (2022)

Section

Articles

How to Cite

An Error Estimate of a Modified Method of Characteristics Modeling Advective-Diffusive Transport in Randomly Heterogeneous Porous Media. (2022). CSIAM Transactions on Applied Mathematics, 3(1), 172-190. https://doi.org/10.4208/csiam-am.2020-0216