A computational method for approximating a Darcy–Stokes system governing a vuggy porous medium
By Todd Arbogast, Dana Brunson. 2007
261 citations recorded by the source corpus.
Subfields: Computational Mechanics, Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/17db2b329a139cd6acf997ee63ad8f9d78ba0a72
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In Computational Mechanics
- Ayçil Çesmelioglu
- Beatrice M. Riviere
- K A Mardal
- M. Gomez
- Vivette Girault
- Jun Yao
- Zhaoqin Huang
- Yajun Li
In Computational Theory and Mathematics
- Beatrice M. Riviere
- M. Gomez
- K A Mardal
- Vivette Girault
- Ayçil Çesmelioglu
- Jun Yao
- Zhaoqin Huang
- Yajun Li
In Mathematical Physics
- M. Gomez
- K A Mardal
- Beatrice M. Riviere
- Yanqi Wang
- Ayçil Çesmelioglu
- Trygve Klovning Karper
- Vivette Girault
- Fang Wang
Citations in the corpus
- A discretization and multigrid solver for a Darcy–Stokes system of three dimensional vuggy porous media (2009, methodology): “We define our elements in three dimensions, which are a generalization of the elements presented in [2] for two dimensional domains.”
- Unified finite element discretizations of coupled Darcy–Stokes flow (2009, methodology): “[1] or [6], it follows that there is a positive constant C such that”
- Time-dependent coupling of Navier–Stokes and Darcy flows (2013, methodology): “For instance, the reader can refer to the works of Arbogast and Lehr in [3], of Arbogast and Brunson in [2], of Burman and Hansbo in [7], of Cao et al.”
- Weak Galerkin method for the coupled Darcy-Stokes flow (2014, methodology): “Various numerical discretizations have been developed for these two mixed formulations: the work in [16, 17, 26] are based on the weakly coupled formulation, while the work in [1, 11, 25, 24, 36, 37] are based on the strongly coupled formulation.”
- Numerical Calculation of Equivalent Permeability Tensor for Fractured Vuggy Porous Media Based on Homogenization Theory (2011, methodology): “For more details on these types of numerical scheme, the reader is referred to [7, 8].”
- Homogenization of a Darcy–Stokes system modeling vuggy porous media (2006, unknown): “Examples of direct numerical simulation of these equations in a non-vuggy context (i.e., in a medium with at most a few very large vugs) can be found in, e.g., [25, 13, 19]. In a vuggy context, see, e.g., [ 3 ].”