Unstructured, Control-Volume Distributed, Full-Tensor Finite-Volume Schemes with Flow Based Grids

By M. Edwards. 2002

181 citations recorded by the source corpus.

Subfields: Computational Mechanics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/3d02031ddb4a4d653ca37110225d46d02991880f

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In Computational Mechanics

In Computational Theory and Mathematics

Citations in the corpus

Relationships among some locally conservative discretization methods which handle discontinuous coefficients (2004, methodology): “In the special issue cited above, the papers about these or conceptually similar methods were as follows: CVMFEM [14], SOM [15], ECCFDM [16], MPFA [11, 17, 18, 19, 20].”
MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS (2013, methodology): “Considering a patch of (sub)elements, supposing a piecewise affine, possibly nonconforming, potential approximation, imposing the normal flux continuity, and solving a local linear system on the patch is also the principle of the so-called multi-point flux-approximation method [1, 2] (or of the meth”
Mixed finite elements for solving 2‐D diffusion‐type equations (2010, methodology): “Note that recently, other conservative numerical methods for flow in porous media have been developed [Edwards, 2002], such as the control volume mixed finite element method [Cai et al., 1997; Klausen and Russell, 2005], the support operator method [Hyman et al., 1997; Berndt et al., 2001], the…”
Coupling multipoint flux mixed finite element methodswith continuous Galerkin methods for poroelasticity (2013, methodology): “The MFMFE method was motivated by the multipoint flux approximation (MPFA) methods [2, 3, 14, 13].”
Convergence of a symmetric MPFA method on quadrilateral grids (2007, methodology): “On unstructured grids, these ideas have been suggested by Edwards [14, 16].”
Improved streamlines and time-of-flight for streamline simulation on irregular grids (2007, methodology): “In these methods fluxes are computed at cell edges.”
Mimetic finite difference method (2014, methodology): “…/FLA [m3G; v 1.109; Prn:20/08/2013; 13:29] Another approach to overcome the limitations induced by the two-point flux formula comes from the multi-point flux approximation (MPFA) method [2] [3] and similar, but developed independently, the control-volume distributed (CVD) method [101] [102].”