6533b85efe1ef96bd12c0620

RESEARCH PRODUCT

WENO Schemes for Multi-Dimensional Porous Media Flow Without Capillarity

Pep MuletM. C. MartíF. GuerreroRaimund Bürger

subject

Physics::Fluid DynamicsConvectionWork (thermodynamics)Capillary pressureDiscretizationComputer scienceMultiphase flowMulti dimensionalTime evolutionMechanicsPorous medium

description

In this work we derive a numerical technique based on finite-difference WENO schemes for the simulation of multi-dimensional multiphase flows in a homogeneous porous medium. The key idea is to define a compatible discretization for the fluxes of the convective term in order to maintain their divergence-free character not only in the continuous setting but also in the discrete setting, ensuring the conservation of the sum of the saturations through time evolution. The one-dimensional numerical technique is derived in detail for the case of neglected capillarity effects. Numerical results obtained with one-dimensional and two-dimensional standard tests of multiphase flow in a homogeneous porous medium are shown.

yearjournalcountryeditionlanguage
2016-01-01
https://doi.org/10.1007/978-3-319-32013-7_17