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A Multilevel Multiscale Finite Volume Method
Proceedings, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rouven Künze, Ivan Lunati, Seong H. Lee
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Iterative Galerkin-enriched multiscale finite-volume method
Journal of Computational Physics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Davide Cortinovis, Patrick Jenny
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A hierarchical fracture model for the iterative multiscale finite volume method
Journal of Computational Physics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hadi Hajibeygi +2 more
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Adaptive Multiscale Finite-Volume Method for Multiphase Flow and Transport in Porous Media
Multiscale Modeling & Simulation, 2005Summary: We present a multiscale finite-volume (MSFV) method for multiphase flow and transport in heterogeneous porous media. The approach extends our recently developed MSFV method for single-phase flow. We use a sequential scheme that deals with flow (i.e., pressure and total velocity) and transport (i.e., saturation) separately and differently.
Patrick Jenny +2 more
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Compact Multiscale Finite Volume Method for Heterogeneous Anisotropic Elliptic Equations
Multiscale Modeling & Simulation, 2008The multiscale finite volume (MSFV) method is introduced for the efficient solution of elliptic problems with rough coefficients in the absence of scale separation. The coarse operator of the MSFV method is presented as a multipoint flux approximation (MPFA) with numerical evaluation of the transmissibilities.
Marc Andre Hesse +2 more
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Well Modeling in the Multiscale Finite Volume Method for Subsurface Flow Simulation
Multiscale Modeling & Simulation, 2006A multiscale method for effective handling of wells (source/sink terms) in the simulation of multiphase flow and transport processes in heterogeneous porous media is developed. The approach extends the multiscale finite volume (MSFV) framework. Our multiscale well model allows for accurate reconstruction of the fine‐scale pressure and velocity fields ...
Christian Wolfsteiner +2 more
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Computational Geosciences, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nordbotten, J. M., Bjørstad, P. E.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nordbotten, J. M., Bjørstad, P. E.
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Treating Highly Anisotropic Subsurface Flow with the Multiscale Finite‐Volume Method
Multiscale Modeling & Simulation, 2007The multiscale finite‐volume (MSFV) method has been designed to solve flow problems on large domains efficiently. First, a set of basis functions, which are local numerical solutions, is employed to construct a fine‐scale pressure approximation; then a conservative fine‐scale velocity approximation is constructed by solving local problems with boundary
Ivan Lunati, Patrick Jenny
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Hybrid Multiscale Finite Volume method for two-phase flow in porous media
Journal of Computational Physics, 2013We present a novel hybrid (or multiphysics) algorithm, which couples pore-scale and Darcy descriptions of two-phase flow in porous media. The flow at the pore-scale is described by the Navier-Stokes equations, and the Volume of Fluid (VOF) method is used to model the evolution of the fluid-fluid interface.
Pavel Tomin, Ivan Lunati
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Multiscale enrichment of a finite volume element method for the stationary Navier–Stokes problem
International Journal of Computer Mathematics, 2013In this paper, we introduce a finite volume element method for the Navier–Stokes problem. This method is based on the multiscale enrichment and uses the lowest finite element pair P1/P0. The stability and convergence of the optimal order in H1-norm for velocity and L2-norm for pressure are obtained.
Juan Wen, Yinnian He, Jianhong Yang
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