图书馆订阅: Guest
Begell Digital Portal Begell 数字图书馆 电子图书 期刊 参考文献及会议录 研究收集
国际多尺度计算工程期刊
影响因子: 1.016 5年影响因子: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN 打印: 1543-1649
ISSN 在线: 1940-4352

国际多尺度计算工程期刊

DOI: 10.1615/IntJMultCompEng.v6.i1.80
pages 87-101

Multiscale Discontinuous Galerkin and Operator-Splitting Methods for Modeling Subsurface Flow and Transport

Shuyu Sun
School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, P.R. China 710049; Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering, King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia
Juergen Geiser
Univerity of Greifswald

ABSTRACT

Multiscale algorithms are considered for solving flow and transport problems in geological media. Challenges of multiscale permeability variation in subsurface flow problems are addressed by using multiscale discontinuous Galerkin (DG) methods, where we construct local DG basis functions at a coarse scale while capturing local properties of Darcy flow at a fine scale, and then solve the DG formulation using the newly constructed local basis functions on the coarse-scale elements. Challenges of transport problems include the coupling of multiple processes, such advection, diffusion, dispersion, and reaction across different scales, which is treated here by using two splitting approaches based on operator decomposition. The methods decompose the coupled system into various individual operators with respect to their scales and physics, so that each subproblem can be solved with its own most efficient algorithm. These subproblems are coupled adaptively with iterative steps. Error estimates for the decomposition methods are derived. Numerical examples are provided to demonstrate the properties and effectiveness of both multiscale DG and operator-splitting methods.


Articles with similar content:

SPARSE GENERALIZED MULTISCALE FINITE ELEMENT METHODS AND THEIR APPLICATIONS
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 1
Wing Tat Leung, Eric T. Chung, Yalchin Efendiev, Guanglian Li
A PRIORI ERROR ANALYSIS OF STOCHASTIC GALERKIN PROJECTION SCHEMES FOR RANDOMLY PARAMETRIZED ORDINARY DIFFERENTIAL EQUATIONS
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 4
Christophe Audouze , Prasanth B. Nair
ANALYSIS OF VARIANCE-BASED MIXED MULTISCALE FINITE ELEMENT METHOD AND APPLICATIONS IN STOCHASTIC TWO-PHASE FLOWS
International Journal for Uncertainty Quantification, Vol.4, 2014, issue 6
Guang Lin, Yalchin Efendiev, Lijian Jiang, Jia Wei
A STOCHASTIC INVERSE PROBLEM FOR MULTISCALE MODELS
International Journal for Multiscale Computational Engineering, Vol.15, 2017, issue 3
N. Panda, Lindley Graham, Clint Dawson, Troy Butler, Donald Estep
Discretization and Solver Methods with Analytical Characteristic Methods for Advection-Diffusion Reaction Equations and 2D Applications
Journal of Porous Media, Vol.12, 2009, issue 7
Juergen Geiser