A Sharp Analytical Bound on the Spatiotemporal Locality in General Two-phase Flow and Transport Phenomena | Zendy

Rami M. Younis | Zendy

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A Sharp Analytical Bound on the Spatiotemporal Locality in General Two-phase Flow and Transport Phenomena

Author(s) -

Rami M. Younis

Publication year - 2013

Publication title -

procedia computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.334

H-Index - 76

ISSN - 1877-0509

DOI - 10.1016/j.procs.2013.05.211

Subject(s) - computer science , flow (mathematics) , locality , nonlinear system , process (computing) , phase (matter) , porous medium , domain (mathematical analysis) , sequence (biology) , mathematics , mathematical optimization , two phase flow , mechanics , algorithm , mathematical analysis , physics , geology , porosity , philosophy , linguistics , geotechnical engineering , quantum mechanics , biology , genetics , operating system

The objective is to understand, for any two-phase flow situation, the instantaneous spatiotemporal nature of the domain-of- dependence. The focal setting is generally nonlinear and heterogeneous, compressible two-phase flow and transport in porous media. The analytical approach develops a sequence of approximations that ultimately recast the general conservation equa- tions into an infinite-dimensional Newton process. Within this process, the spatiotemporal evolution is dictated by linear dif- ferential equations that are easily analyzed. We develop sharp conservative estimates for the support of instantaneous changes to flow and transport variables. Several computational examples are used to illustrate the analytical results

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