Matches in SemOpenAlex for { <https://semopenalex.org/work/W2009743721> ?p ?o ?g. }
Showing items 1 to 66 of
66
with 100 items per page.
- W2009743721 endingPage "393" @default.
- W2009743721 startingPage "381" @default.
- W2009743721 abstract "In this paper, we present the exponential Rosenbrock−Euler method and the lowest-order Rosenbrock-type method combined with the finite volume (two-point or multi-point flux approximations) space discretization to simulate isothermal incompressible two-phase flow in heterogeneous porous media. The exponential Rosenbrock−Euler method (EREM) linearizes the saturation equation at each time step and makes use of a matrix exponential function of the Jacobian, then solves the corresponding stiff linear ordinary differential equations exactly in time up to the given tolerance in the computation of a matrix exponential function of the Jacobian from the space discretization. Using a Krylov subspace technique makes this computation efficient. Besides, this computation can be done using the free-Jacobian technique. The lowest-order Rosenbrock type method, also called linearly implicit method, is deduced from EREM by approximating the exponential function of the Jacobian by the appropriate rational function of the Jacobian. As a result, this scheme is L-stable and only one linear system is normally solved at each time step. All our numerical examples demonstrate that our methods can compete in terms of efficiency and accuracy with the standard time integrators for reservoir simulation in highly anisotropic and heterogeneous porous media. Simulations are performed up to 1.1 million of unknowns with and without capillary pressure." @default.
- W2009743721 created "2016-06-24" @default.
- W2009743721 creator A5046817110 @default.
- W2009743721 date "2013-01-01" @default.
- W2009743721 modified "2023-09-27" @default.
- W2009743721 title "EFFICIENT NUMERICAL SIMULATION OF INCOMPRESSIBLE TWO-PHASE FLOW IN HETEROGENEOUS POROUS MEDIA BASED ON EXPONENTIAL ROSENBROCK-EULER METHOD AND LOWER-ORDER ROSENBROCK-TYPE METHOD" @default.
- W2009743721 doi "https://doi.org/10.1615/jpormedia.v16.i5.10" @default.
- W2009743721 hasPublicationYear "2013" @default.
- W2009743721 type Work @default.
- W2009743721 sameAs 2009743721 @default.
- W2009743721 citedByCount "2" @default.
- W2009743721 countsByYear W20097437212015 @default.
- W2009743721 countsByYear W20097437212019 @default.
- W2009743721 crossrefType "journal-article" @default.
- W2009743721 hasAuthorship W2009743721A5046817110 @default.
- W2009743721 hasConcept C11413529 @default.
- W2009743721 hasConcept C134306372 @default.
- W2009743721 hasConcept C147060835 @default.
- W2009743721 hasConcept C151376022 @default.
- W2009743721 hasConcept C195906000 @default.
- W2009743721 hasConcept C200331156 @default.
- W2009743721 hasConcept C28826006 @default.
- W2009743721 hasConcept C33923547 @default.
- W2009743721 hasConcept C45374587 @default.
- W2009743721 hasConcept C62884695 @default.
- W2009743721 hasConcept C6802819 @default.
- W2009743721 hasConcept C73000952 @default.
- W2009743721 hasConcept C75380026 @default.
- W2009743721 hasConcept C768646 @default.
- W2009743721 hasConcept C78045399 @default.
- W2009743721 hasConceptScore W2009743721C11413529 @default.
- W2009743721 hasConceptScore W2009743721C134306372 @default.
- W2009743721 hasConceptScore W2009743721C147060835 @default.
- W2009743721 hasConceptScore W2009743721C151376022 @default.
- W2009743721 hasConceptScore W2009743721C195906000 @default.
- W2009743721 hasConceptScore W2009743721C200331156 @default.
- W2009743721 hasConceptScore W2009743721C28826006 @default.
- W2009743721 hasConceptScore W2009743721C33923547 @default.
- W2009743721 hasConceptScore W2009743721C45374587 @default.
- W2009743721 hasConceptScore W2009743721C62884695 @default.
- W2009743721 hasConceptScore W2009743721C6802819 @default.
- W2009743721 hasConceptScore W2009743721C73000952 @default.
- W2009743721 hasConceptScore W2009743721C75380026 @default.
- W2009743721 hasConceptScore W2009743721C768646 @default.
- W2009743721 hasConceptScore W2009743721C78045399 @default.
- W2009743721 hasIssue "5" @default.
- W2009743721 hasLocation W20097437211 @default.
- W2009743721 hasOpenAccess W2009743721 @default.
- W2009743721 hasPrimaryLocation W20097437211 @default.
- W2009743721 hasRelatedWork W1972221693 @default.
- W2009743721 hasRelatedWork W2024568186 @default.
- W2009743721 hasRelatedWork W2083355341 @default.
- W2009743721 hasRelatedWork W2139434111 @default.
- W2009743721 hasRelatedWork W2221851535 @default.
- W2009743721 hasRelatedWork W2525825098 @default.
- W2009743721 hasRelatedWork W2569094995 @default.
- W2009743721 hasRelatedWork W2807808632 @default.
- W2009743721 hasRelatedWork W3162423291 @default.
- W2009743721 hasRelatedWork W4308671476 @default.
- W2009743721 hasVolume "16" @default.
- W2009743721 isParatext "false" @default.
- W2009743721 isRetracted "false" @default.
- W2009743721 magId "2009743721" @default.
- W2009743721 workType "article" @default.