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Title: Explicit and Implicit Interface Coupling Approaches.


Abstract not provided.

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Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
Report Number(s):
DOE Contract Number:
Resource Type:
Resource Relation:
Conference: Proposed for presentation at the Computational Science Seminar Series held August 9, 2016 in Albuquerque, NM.
Country of Publication:
United States

Citation Formats

Kuberry, Paul Allen, Bochev, Pavel Blagoveston, and Peterson, Kara J. Explicit and Implicit Interface Coupling Approaches.. United States: N. p., 2016. Web.
Kuberry, Paul Allen, Bochev, Pavel Blagoveston, & Peterson, Kara J. Explicit and Implicit Interface Coupling Approaches.. United States.
Kuberry, Paul Allen, Bochev, Pavel Blagoveston, and Peterson, Kara J. Mon . "Explicit and Implicit Interface Coupling Approaches.". United States. doi:.
title = {Explicit and Implicit Interface Coupling Approaches.},
author = {Kuberry, Paul Allen and Bochev, Pavel Blagoveston and Peterson, Kara J.},
abstractNote = {Abstract not provided.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Aug 01 00:00:00 EDT 2016},
month = {Mon Aug 01 00:00:00 EDT 2016}

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  • It is well known that numeric solutions by the standard 5-point difference schemes for 2-phase flow equations exhibit grid orientation effects in 2 and more dimensions. To minimize such effects, 9-point difference of the differential operator often is proposed. However, it has been observed that this approach does not give satisfactory results in the case of nonuniform grids. An alternate 9-point formula is proposed based on a more accurate integration of fluid fluxes across cell faces. Numeric results are presented which demonstrate that this formula greatly reduces the sensitivity to grid orientation in both uniform and nonuniform grids.
  • A novel numerical algorithm for computing incompressible, discontinuous, two-phase flows in two-dimensional, inhomogeneous, and isotropic porous media is presented. The algorithm uses Colella et al`s. hybrid sequential explicit-implicit approach for both accuracy and speed of the calculations. The explicit part uses a high-order Godunov scheme with a modified Van Leer geometrical slope limiter, similar to those used in shock dynamics. The implicit part is a two-step solver: the first step is a Crank-Nicolson saturation solver and the second one is a Poisson solver for the phase pressure. Both use fast multilevel multigrid solvers with the number of operations of themore » order of {var_theta}[Nlog(N)], where N is the number of grid points. For an implicit simulator, the number of operations is {var_theta}(N{sup 3}) per time step. Two numerically stiff reservoir engineering problems are presented to demonstrate the low numerical dispersion and second-order accuracy of our method.« less
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  • Abstract not provided.