Flow and transport when scales are not separated: Numerical analysis and simulations of micro- and macro-models Public Deposited

http://ir.library.oregonstate.edu/concern/articles/f7623f28q

This is the publisher’s final pdf. The published article is copyrighted by the Institute for Scientific Computing and Information (ISCI) and can be found at:  http://www.math.ualberta.ca/ijnam/AIMS.htm

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • In this paper, we consider an upscaled model describing the multiscale flow of a single-phase incompressible fluid and transport of a dissolved chemical by advection and diffusion through a heterogeneous porous medium. Unlike traditional homogenization or volume averaging techniques, we do not assume a good separation of scales. The new model includes as special cases both the classical homogenized model and the double porosity model, but it is characterized by the presence of additional memory terms which describe the effects of local advective transport as well as diffusion. We study the mathematical properties of the memory (convolution) kernels presented in the model and perform rigorous stability analysis of the numerical method to discretize the upscaled model. Some numerical results will be presented to validate the upscaled model and to show the quantitative significance of each memory term in different regimes of flow and transport.
Resource Type
Date Available
Date Issued
Citation
  • Peszynska, M., Showalter, R. E., & Yi, S. Y. (2015). Flow and transport when scales are not separated: Numerical analysis and simulations of micro-and macro-models. International Journal of Numerical Analysis and Modeling, 12(3), 476-515.
Series
Keyword
Rights Statement
Funding Statement (additional comments about funding)
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Made available in DSpace on 2016-04-12T18:58:48Z (GMT). No. of bitstreams: 1 PeszynskaFlowAndTransportWhenScalesNotSeparated.pdf: 1709407 bytes, checksum: db8b7fbb30002b44db6b28ff3f0eac6c (MD5) Previous issue date: 2015
  • description.provenance : Submitted by Deanne Bruner (deanne.bruner@oregonstate.edu) on 2016-04-12T18:58:17Z No. of bitstreams: 1 PeszynskaFlowAndTransportWhenScalesNotSeparated.pdf: 1709407 bytes, checksum: db8b7fbb30002b44db6b28ff3f0eac6c (MD5)
  • description.provenance : Approved for entry into archive by Deanne Bruner(deanne.bruner@oregonstate.edu) on 2016-04-12T18:58:48Z (GMT) No. of bitstreams: 1 PeszynskaFlowAndTransportWhenScalesNotSeparated.pdf: 1709407 bytes, checksum: db8b7fbb30002b44db6b28ff3f0eac6c (MD5)

Relationships

Parents:

This work has no parents.

Last modified

Downloadable Content

Download PDF

Items