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Title: Analysis of Partitioned Methods for the Biot System

Abstract

In this work, we present a comprehensive study of several partitioned methods for the coupling of flow and mechanics. We derive energy estimates for each method for the fully-discrete problem. We write the obtained stability conditions in terms of a key control parameter defined as a ratio of the coupling strength and the speed of propagation. Depending on the parameters in the problem, give the choice of the partitioned method which allows the largest time step. (C) 2015 Wiley Periodicals, Inc.

Authors:
 [1];  [2];  [2];  [3];  [3]
  1. Univ. of Notre Dame, IN (United States)
  2. Univ. of Pittsburgh, PA (United States)
  3. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1335329
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Numerical Methods for Partial Differential Equations (Online)
Additional Journal Information:
Journal Name: Numerical Methods for Partial Differential Equations (Online); Journal Volume: 31; Journal Issue: 6; Journal ID: ISSN 0749-159X
Publisher:
Wiley
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; Biot system; partitioned methods; poroelasticity; STOKES-DARCY MODEL; STABILITY; EXPLICIT; FLOW

Citation Formats

Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., and Trenchea, Catalin S. Analysis of Partitioned Methods for the Biot System. United States: N. p., 2015. Web. doi:10.1002/num.21968.
Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., & Trenchea, Catalin S. Analysis of Partitioned Methods for the Biot System. United States. doi:10.1002/num.21968.
Bukac, Martina, Layton, William, Moraiti, Marina, Tran, Hoang A., and Trenchea, Catalin S. Wed . "Analysis of Partitioned Methods for the Biot System". United States. doi:10.1002/num.21968. https://www.osti.gov/servlets/purl/1335329.
@article{osti_1335329,
title = {Analysis of Partitioned Methods for the Biot System},
author = {Bukac, Martina and Layton, William and Moraiti, Marina and Tran, Hoang A. and Trenchea, Catalin S.},
abstractNote = {In this work, we present a comprehensive study of several partitioned methods for the coupling of flow and mechanics. We derive energy estimates for each method for the fully-discrete problem. We write the obtained stability conditions in terms of a key control parameter defined as a ratio of the coupling strength and the speed of propagation. Depending on the parameters in the problem, give the choice of the partitioned method which allows the largest time step. (C) 2015 Wiley Periodicals, Inc.},
doi = {10.1002/num.21968},
journal = {Numerical Methods for Partial Differential Equations (Online)},
number = 6,
volume = 31,
place = {United States},
year = {2015},
month = {2}
}

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Cited by: 2 works
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