Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems

Li, Jason; Jagalur-Mohan, Jayanth; Oberai, Assad A.; Sahni, Onkar

doi:10.1016/j.cma.2017.07.013

Title: Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems

Full Record
Other Related Research

Authors:: Li, Jason; Jagalur-Mohan, Jayanth; Oberai, Assad A.; Sahni, Onkar

Publication Date:: Sun Oct 01 00:00:00 EDT 2017

Sponsoring Org.:: USDOE

OSTI Identifier:: 1549636

Grant/Contract Number:: SC0006617

Resource Type:: Publisher's Accepted Manuscript

Journal Name:: Computer Methods in Applied Mechanics and Engineering

Additional Journal Information:: Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Volume: 325 Journal Issue: C; Journal ID: ISSN 0045-7825

Publisher:: Elsevier

Country of Publication:: Netherlands

Language:: English

Citation Formats


                    Li, Jason, Jagalur-Mohan, Jayanth, Oberai, Assad A., and Sahni, Onkar. Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems.  Netherlands: N. p., 2017. 
Web.  doi:10.1016/j.cma.2017.07.013.

Copy to clipboard


                    Li, Jason, Jagalur-Mohan, Jayanth, Oberai, Assad A., & Sahni, Onkar. Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems.  Netherlands.  https://doi.org/10.1016/j.cma.2017.07.013

Copy to clipboard


                    Li, Jason, Jagalur-Mohan, Jayanth, Oberai, Assad A., and Sahni, Onkar. Sun .  
"Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems".  Netherlands.  https://doi.org/10.1016/j.cma.2017.07.013.

Copy to clipboard


                    
@article{osti_1549636,

  title        = {Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems},

  author       = {Li, Jason and Jagalur-Mohan, Jayanth and Oberai, Assad A. and Sahni, Onkar},

  abstractNote = {},

  doi          = {10.1016/j.cma.2017.07.013},

  journal      = {Computer Methods in Applied Mechanics and Engineering},

  number       = C,

  volume       = 325,

  place        = {Netherlands},

  year         = {Sun Oct 01 00:00:00 EDT 2017},

  month        = {Sun Oct 01 00:00:00 EDT 2017}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (Publisher)

Publisher's Version of Record
https://doi.org/10.1016/j.cma.2017.07.013

Other availability

Search WorldCat to find libraries that may hold this journal

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

Save / Share:

Export Metadata

Save to My Library

Similar Records in DOE PAGES and OSTI.GOV collections:

Stochastic variational multiscale analysis of the advection–diffusion equation: Advective–diffusive regime and multi-dimensional problems

Journal Article Li, Jason ; Jagalur-Mohan, Jayanth ; Oberai, Assad A. ; ... - Computer Methods in Applied Mechanics and Engineering

Not provided.
https://doi.org/10.1016/j.cma.2017.07.013
Numerical studies of three-dimensional stochastic Darcy's equation and stochastic advection-diffusion-dispersion equation

Journal Article Lin, Guang ; Tartakovsky, Alexandre M - Journal of Scientific Computing, 43(1):92-117

In this study, we solve the three-dimensional stochastic Darcy's equation and stochastic advection-diffusion-dispersion equation using a probabilistic collocation method (PCM) on sparse grids. Karhunen-Lo\`{e}ve (KL) decomposition is employed to represent the three-dimensional log hydraulic conductivitymore »« less
https://doi.org/10.1007/s10915-010-9346-5
A posteriori error analysis of IMEX multi-step time integration methods for advection–diffusion–reaction equations

Journal Article Chaudhry, Jehanzeb H. ; Estep, Donald ; Ginting, Victor ; ... - Computer Methods in Applied Mechanics and Engineering
Cited by 16
https://doi.org/10.1016/j.cma.2014.11.015
A Lagrangian analysis of advection-diffusion equation for a three dimensional chaotic flow

Journal Article Tang, X Z ; Boozer, A H ; Max-Planck Institut fuer Plasmaphysik, Garching - Physics of Fluids (1994)

The advection-diffusion equation is studied via a global Lagrangian coordinate transformation. The metric tensor of the Lagrangian coordinates couples the dynamical system theory rigorously into the solution of this class of partial differential equations. If the flow has chaotic streamlines, the diffusion will dominate the solution at a critical time, which scales logarithmically with the diffusivity. The subsequent rapid diffusive relaxation is completed on the order of a few Lyapunov times, and it becomes more anisotropic the smaller the diffusivity. The local Lyapunov time of the flow is the inverse of the finite time Lyapunov exponent. A finite time Lyapunovmore »« less
https://doi.org/10.1063/1.870006
Hybrid Multiscale Finite Volume Method for Advection-Diffusion Equations Subject to Heterogeneous Reactive Boundary Conditions

Journal Article Barajas-Solano, David A. ; Tartakovsky, A. M. - Multiscale Modeling & Simulation

We present a hybrid scheme for the coupling of macro and microscale continuum models for reactive contaminant transport in fractured and porous media. The transport model considered is the advection-dispersion equation, subject to linear heterogeneous reactive boundary conditions. The Multiscale Finite Volume method (MsFV) is employed to define an approximation to the microscale concentration field defined in terms of macroscopic or \emph{global} degrees of freedom, together with local interpolator and corrector functions capturing microscopic spatial variability. The macroscopic mass balance relations for the MsFV global degrees of freedom are coupled with the macroscopic model, resulting in a global problem for the simultaneous time-stepping of all macroscopic degrees of freedom throughout the domain. In order to perform the hybrid coupling, the micro and macroscale models are applied over overlapping subdomains of the simulation domain, with the overlap denoted as the handshake subdomainmore »« less
https://doi.org/10.1137/15M1022537

Similar Records