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Wednesday, August 5, 2020 | History

2 edition of Well-posedness of the two-phase flow problem found in the catalog.

Well-posedness of the two-phase flow problem

D. L. Hicks

Well-posedness of the two-phase flow problem

by D. L. Hicks

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  • 19 Currently reading

Published by Dept. of Energy, Sandia Laboratories, for sale by the National Technical Information Service] in Albuquerque, N.M, [Springfield, Va .
Written in English

    Subjects:
  • Two-phase flow -- Mathematical models.

  • Edition Notes

    StatementD. L. Hicks, Computational Physics & Mechanics Division I - 5531, Sandia Laboratories ; prepared by Sandia Laboratories for the United States Department of Energy.
    SeriesSAND ; 79-1435, SAND (Series) (Albuquerque, N.M.) -- 79-1435.
    ContributionsUnited States. Dept. of Energy., Sandia Laboratories., Sandia Laboratories. Computational Physics and Mechanics Division I, 5531.
    The Physical Object
    Paginationv. :
    ID Numbers
    Open LibraryOL18017241M

    In for example, a channelized structure was parameterized with a small number of unknowns and a deterministic history matching (data assimilation) was conducted on a two-phase flow model. A more sophisticated parameterization of geologic facies involves the level-set approach for history matching used by [ 13, 21 ] in a deterministic framework. leads to a parameter identi cation problem for a nite number of unknown parameters determining the geometry, together with either a nite number of permeability values (in the constant case) or a nite number of elds (in the continuous function case). We adopt a Bayesian framework showing existence and well-posedness of the posterior distribution.

    Short-time Well-posedness of Free-Surface Problems in 2D Fluids David M. Ambrose Wave Processes at Interfaces Two-phase Flow through Injection Nozzles On the Numerical Solution of the Hyperbolic Proppant Transport Problem Hongren Gu and Eduard Siebrits Author Index.   1. Introduction. The term free boundary problem (FBP) refers, in the modern applied mathematical literature, to a problem in which one or several variables must be determined in different domains of the space, or space–time, for which each variable is governed in its domain by a set of state laws. If the domains were known, the problem reduces to solving the equations, usually ordinary.

    Get this from a library! Simulation of Flow in Porous Media: Applications in Energy and Environment.. [Johannes Kraus; Peter Bastian, (Mathematician); Robert Scheichl; Mary F Wheeler] -- Thisbook is the firstvolume of three volume series recording the""Radon Special Semester on Multiscale Simulation & Analysis in Energy and the Environment"" taking placein Linz, Austria, October.   For fluid structure interaction with a gas bubble, our model uses different governing equations for fluid and gas separately. Note that, another model is to treat the problem using a two-phase model in which the governing equations are the same, see for example [2,6,10,11,13,15,16,36,37,39,41,42,44,46,47]. There are advantages and limitations.


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Well-posedness of the two-phase flow problem by D. L. Hicks Download PDF EPUB FB2

Get this from a library. Well-posedness of the two-phase flow problem. [D L Hicks; United States. Department of Energy.; Sandia Laboratories.; Sandia Laboratories. Computational Physics and Mechanics Division I, ]. Request PDF | Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3 | We investigate the Cauchy problem of the viscous liquid-gas two-phase flow.

from book Nonlinear Elliptic and Parabolic Problems: A Special Tribute to the Work of Herbert Amann (pp) Well-posedness of a Two-phase Flow with Soluble Surfactant Chapter February () Global well-posedness and large time behaviour of the viscous liquid-gas two-phase flow model in ℝ3.

Proceedings of the Royal Society of Edinburgh: Section A Mathemat () Review on mathematical analysis of some two-phase flow by: SIAM Journal on Mathematical AnalysisAbstract | PDF ( KB) () Weak solutions for an inviscid two-phase flow model in physical by: Bothe D., Prüss J., Simonett G.

() Well-posedness of a Two-phase Flow with Soluble Surfactant. In: Brezis H., Chipot M., Escher J. (eds) Nonlinear Elliptic and Parabolic Problems. Progress in Nonlinear Differential Equations and Their Applications, vol Citation: Jan Prüss, Yoshihiro Shibata, Senjo Shimizu, Gieri Simonett.

On well-posedness of incompressible two-phase flows with phase transitions: The case of equal densities. Evolution Equations & Control Theory,1 (1): doi: /eect   The basic model for incompressible two-phase flows with phase transitions consistent with thermodynamics is studied.

The latter means that the total energy is conserved and the total entropy is nondecreasing. We consider the case of constant but non-equal densities of the phases, complementing our previous paper (Prüss et al. in Evol Equ Control Theory –, ) where.

We prove the global well-posedness of the free interface problem for the two-phase incompressible Euler Equations with damping for the small initial data, where the effect of surface tension is included on the free surfaces.

Moreover, the solution decays exponentially to the equilibrium. Well-posedness of the two-phase flow problem. Part 1. Stability analysis procedures discussed and applied to the equal-pressures model. Technical Report Hicks, D L.

A certain two-phase flow model assumes equal pressures in the two phases. This study refers to that model as the equal-pressures model. The validity of the equal-pressures model has. WELL-POSEDNESS OF A TWO-PHASE FLOW WITH SOLUBLE tain well-posedness of this model for a certain initial configuration.

The proof is of this paper is the existence of a unique classical solution to this free boundary problem for a certain initial configuration of the phases. The latter corresponds to situations encountered. For some time it has been known that many of the two-phase flow models lead to ill-posed Cauchy problems because they have complex characteristic values.

A necessary condition (at least in the linear case) for the Cauchy problem to be well-posed is that it be stable in the sense of von Neumann.

Well posedness of the model. We now pass to the well posedness of. For the sake of completeness, we recall [12, Definition ] adapting it to. Throughout, we keep the density ρ ̄ l of the liquid phase fixed. Definition Fix T ∈ R + and the states u ̄ g ∈ Ω g × R, u ̄ l ∈ Ω l × R with v ̄ g = v ̄ l.

Title: On well-posedness of incompressible two-phase flows with phase transitions: the case of equal densities Authors: Jan Pruess, Senjo Shimizu, Yoshihiro Shibata, Gieri Simonett (Submitted on 9 Sep ). Well-Posedness of the Two-Phase Flow Problem, Part 1.

Sandia National Lab oratories Report SAND Hicks, D, L. (), Well-Posedness of the Two-Phase Flow Problem, Part 2. problem for the development and analysis of finite element discretization methods for two-phase flow problems.

In view of the unfitted finite element methods that are of-ten used for two-phase flow simulations, we are interested in a well-posed variational formulation of this Stokes interface problem in a Euclidean setting.

9, 42, 45 done for the unsaturated flow case, respectively, in Refs. 43, 44 for two‐phase flow but without hysteresis. From practical point of view, the present analysis provides a criterion for the occurrence of overshoots in two‐phase infiltration experiments.

Nonlinear Elliptic and Parabolic Problems A Special Tribute to the Work of Herbert Amann. Editors “This book is a collection of 32 articles and is meant as a special tribute to the work of H. Amann of the University Zuerich on the occasion of his retirement.

Well-posedness of a Two-phase Flow with Soluble Surfactant. Pages David Ambrose Professor. Teaching: Course webpages are available at Refereed Journal Publications [Chronologically] []Submitted papers: D.M.

Ambrose and J. Woods. Well-posedness and ill-posedness for linear fifth-order dispersive equations in the presence of backwards diffusion.

Incompressible Flow. Welcome,you are looking at books for reading, the Incompressible Flow, you will able to read or download in Pdf or ePub books and notice some of author may have lock the live reading for some of ore it need a FREE signup process to obtain the book.

If it available for your country it will shown as book reader and user fully subscribe will benefit by having. Fluids Under Pressure will be a valuable resource for graduate students and researchers studying fluid flow dynamics. Global Well-Posedness for Incompressible–Incompressible Two-Phase Problem.

Pages Book Title Fluids Under Pressure.Well-posed Bayesian geometric inverse problems arising in subsurface flow Marco A Iglesias1 and, Kui Lin2 and Andrew M Stuart3 1 School of Mathematical Sciences, University of Nottingham, Nottingham NG7 2RD, UK 2 School of Mathematical Sciences, Fudan University, Shanghai,Peopleʼs Republic of China 3 Mathematics Institute, University of Warwick, Coventry CV4 7AL, UK.Ambrose, David M.

Well-posedness of two-phase Darcy flow in 3D, Ammari, Habib, George Dassios, Hyeonbae Kang, and Mikyoung Lim. Estimates for the electric field in the presence of adjacent perfectly conducting spheres, Antman, Stuart S., and J. Patrick Wilber. The asymptotic problem for the springlike motion of a heavy.