Numerical methods for multiscale transport equations and application to two-phase porous media flow

Xingye Yue; E. Weinan

doi:10.1016/j.jcp.2005.05.009

Numerical methods for multiscale transport equations and application to two-phase porous media flow

Xingye Yue, E. Weinan

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media.

Original language	English (US)
Pages (from-to)	656-675
Number of pages	20
Journal	Journal of Computational Physics
Volume	210
Issue number	2
DOIs	https://doi.org/10.1016/j.jcp.2005.05.009
State	Published - Dec 10 2005

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Keywords

Multiscale transport equation
Numerical methods
Two-phase flow in porous media

Access to Document

10.1016/j.jcp.2005.05.009

Cite this

@article{958bc4da8aec451995762bc0e74b3de8,

title = "Numerical methods for multiscale transport equations and application to two-phase porous media flow",

abstract = "We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media.",

keywords = "Multiscale transport equation, Numerical methods, Two-phase flow in porous media",

author = "Xingye Yue and E. Weinan",

note = "Funding Information: The authors thank the referees for their thorough reading the manuscript and very valuable comments. The work of E is supported in part by ONR Grant N00014-01-1-0674. The work of Yue is supported in part by NSF of China (10471102). ",

year = "2005",

month = dec,

day = "10",

doi = "10.1016/j.jcp.2005.05.009",

language = "English (US)",

volume = "210",

pages = "656--675",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "2",

}

TY - JOUR

T1 - Numerical methods for multiscale transport equations and application to two-phase porous media flow

AU - Yue, Xingye

AU - Weinan, E.

N1 - Funding Information: The authors thank the referees for their thorough reading the manuscript and very valuable comments. The work of E is supported in part by ONR Grant N00014-01-1-0674. The work of Yue is supported in part by NSF of China (10471102).

PY - 2005/12/10

Y1 - 2005/12/10

N2 - We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media.

AB - We discuss numerical methods for linear and nonlinear transport equations with multiscale velocity fields. These methods are themselves multiscaled in nature in the sense that they use macro and micro grids, multiscale test functions. We demonstrate the efficiency of these methods and apply them to two-phase flow in heterogeneous porous media.

KW - Multiscale transport equation

KW - Numerical methods

KW - Two-phase flow in porous media

UR - http://www.scopus.com/inward/record.url?scp=23844496838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23844496838&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2005.05.009

DO - 10.1016/j.jcp.2005.05.009

M3 - Article

AN - SCOPUS:23844496838

SN - 0021-9991

VL - 210

SP - 656

EP - 675

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Numerical methods for multiscale transport equations and application to two-phase porous media flow

Abstract

All Science Journal Classification (ASJC) codes

Keywords

Access to Document

Other files and links

Fingerprint

Cite this