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New unconditionally stable staggered solution procedures for coupled soil‐pore fluid dynamic problems
Author(s) -
Huang Maosong,
Zienkiewicz O. C.
Publication year - 1998
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19981130)43:6<1029::aid-nme459>3.0.co;2-h
Subject(s) - consolidation (business) , pore water pressure , time stepping , domain (mathematical analysis) , stability (learning theory) , mathematics , computer science , mathematical optimization , algorithm , geotechnical engineering , geology , mathematical analysis , accounting , machine learning , discretization , business
A new class of unconditionally stable staggered implicit–implicit time‐stepping algorithms for coupled soil‐pore fluid dynamic problems is presented. The proposed schemes are stabilized with a pressure correction method and the staggered procedure introduced earlier by the second author is a simplified case of the new algorithms. The stabilized procedure is efficient in numerical time domain analysis of soil‐pore fluid interaction occurring in earthquake and consolidation problems. Several examples of linear and non‐linear problems demonstrate the stability and accuracy of the proposed numerical solution algorithms. © 1998 John Wiley & Sons, Ltd.