@inproceedings{60c1565565834a9cb854aa6e24776c91,
title = "Adaptive Time-Splitting Scheme for Nanoparticles Transport with Two-Phase Flow in Heterogeneous Porous Media",
abstract = "In this work, we introduce an efficient scheme using an adaptive time-splitting method to simulate nanoparticles transport associated with a two-phase flow in heterogeneous porous media. The capillary pressure is linearized in terms of saturation to couple the pressure and saturation equations. The governing equations are solved using an IMplicit Pressure Explicit Saturation-IMplicit Concentration (IMPES-IMC) scheme. The spatial discretization has been done using the cell-centered finite difference (CCFD) method. The interval of time has been divided into three levels, the pressure level, the saturation level, and the concentrations level, which can reduce the computational cost. The time step-sizes at different levels are adaptive iteratively by satisfying the Courant-Friedrichs-Lewy (CFL<1) condition. The results illustrates the efficiency of the numerical scheme. A numerical example of a highly heterogeneous porous medium has been introduced. Moreover, the adaptive time step-sizes are shown in graphs.",
keywords = "CFL, IMPES, Porous media, Time-splitting, Two-phase flow",
author = "El-Amin, {Mohamed F.} and Jisheng Kou and Shuyu Sun",
note = "Publisher Copyright: {\textcopyright} 2018, Springer International Publishing AG, part of Springer Nature.; 18th International Conference on Computational Science, ICCS 2018 ; Conference date: 11-06-2018 Through 13-06-2018",
year = "2018",
doi = "10.1007/978-3-319-93713-7_30",
language = "English (US)",
isbn = "9783319937120",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "366--378",
editor = "Jack Dongarra and Haohuan Fu and Krzhizhanovskaya, {Valeria V.} and Lees, {Michael Harold} and Sloot, {Peter M.} and Yong Shi and Yingjie Tian",
booktitle = "Computational Science – ICCS 2018 - 18th International Conference, Proceedings",
address = "Germany",
}