Higher-order conservative interpolation between control-volume meshes: Application to advection and multiphase flow problems with dynamic mesh adaptivity
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James R. Percival | Christopher C. Pain | Matthew D. Jackson | Fangxin Fang | Ziqing Xie | Alexandros Adam | P. Salinas | Dimitris Pavlidis | A. H. Muggeridge | A. Muggeridge | J. Percival | P. Salinas | C. Pain | F. Fang | M. Jackson | Ziqing Xie | A. Adam | D. Pavlidis
[1] P. van Meurs,et al. The Instability of Slow, Immiscible, Viscous Liquid-Liquid Displacements in Permeable Media , 1959 .
[2] Hamdi A. Tchelepi,et al. Linear stability analysis of immiscible two-phase flow in porous media with capillary dispersion and density variation , 2004 .
[3] Oubay Hassan,et al. Investigations into the applicability of adaptive finite element methods to two‐dimensional infinite Prandtl number thermal and thermochemical convection , 2007 .
[4] Fred J. Hickernell,et al. Linear stability of immiscible displacement in porous media , 1989 .
[5] Matthew D. Piggott,et al. Conservative interpolation between unstructured meshes via supermesh construction , 2009 .
[6] R. H. Brooks,et al. Hydraulic properties of porous media , 1963 .
[7] Rainald Löhner. Robust, Vectorized Search Algorithms for Interpolation on Unstructured Grids , 1995 .
[8] J. Latham,et al. Multiphase flow simulation through porous media with explicitly resolved fractures , 2015 .
[9] Christopher C. Pain,et al. A dynamic mesh approach for simulation of immiscible viscous fingering , 2015, ANSS 2015.
[10] Jeffrey Grandy. Conservative Remapping and Region Overlays by Intersecting Arbitrary Polyhedra , 1999 .
[11] Zhihua Xie,et al. A Discontinuous Overlapping Control Volume Finite Element Method for Multi-Phase Porous Media Flow Using Dynamic Unstructured Mesh Optimization , 2015, ANSS 2015.
[12] Igor Tsukerman. Approximation of conservative fields and the element 'edge shape matrix' , 1998 .
[13] Patrick E. Farrell,et al. Galerkin projection of discrete fields via supermesh construction , 2009 .
[14] Arthur Moncorge,et al. Reservoir Simulation Prototyping Platform for High Performance Computing , 2014 .
[15] Dimitrios Pavlidis,et al. Compressive advection and multi‐component methods for interface‐capturing , 2016 .
[16] Michael T. Heath,et al. Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations , 2004 .
[17] J. Peiro,et al. Adaptive remeshing for three-dimensional compressible flow computations , 1992 .
[18] Dimitrios Pavlidis,et al. Two- and three-phase horizontal slug flow simulations using an interface-capturing compositional approach , 2014 .
[19] Martin Berzins,et al. Mesh shape and anisotropic elements : theory and practice , 2000 .
[20] Dimitrios Pavlidis,et al. Control volume finite element modelling of segregation of sand and granular flows in fluidized beds , 2014 .
[21] Patrick E. Farrell,et al. Conservative interpolation between volume meshes by local Galerkin projection , 2011 .
[22] P. Clément. Approximation by finite element functions using local regularization , 1975 .
[23] C. Carstensen. Clément Interpolation and Its Role in Adaptive Finite Element Error Control , 2006 .
[24] G. Taylor,et al. The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid , 1958, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[25] Paul-Louis George,et al. Delaunay triangulation and meshing : application to finite elements , 1998 .
[26] S. E. Buckley,et al. Mechanism of Fluid Displacement in Sands , 1942 .
[27] C.R.E. de Oliveira,et al. Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations , 2001 .
[28] George M. Homsy,et al. Viscous fingering in porous media , 1987 .
[29] Dimitrios Pavlidis,et al. Anisotropic Mesh Adaptivity and Control Volume Finite Element Methods for Numerical Simulation of Multiphase Flow in Porous Media , 2015, Mathematical Geosciences.
[30] Yannis C. Yortsos,et al. Linear-stability analysis of immiscible displacement: Part 1-Simple basic flow profiles , 1986 .
[31] M. Blunt,et al. Reservoir Modeling for Flow Simulation by Use of Surfaces, Adaptive Unstructured Meshes, and an Overlapping-Control-Volume Finite-Element Method , 2015 .
[32] Hamdi A. Tchelepi,et al. Numerical simulation of immiscible two-phase flow in porous media , 2006 .