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A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids by Helmer A. Friis; Michael G. Edwards is a Engineering article available to read on EtoBox.
What is A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids about?
A new family of cell-centered finite-volume schemes is presented for solving the general full-tensor pressure equation of subsurface flow in porous media on arbitary unstructured triangulations. The new schemes are flux continuous and have full pressure support (FPS) over each subcell with continuous pressure imposed across each control-volume subinterface, in contrast to earlier formulations. The earlier methods are point-wise continuous in pressure and flux with triangle-pressure-support (TPS) which leads to a more limited quadrature range. An M-matrix analysis identifies bounding limits for the schemes to posses a local discrete maximum principle. Conditions for the schemes to be positive definite are also derived. A range of computational examples are presented for unstructured triangular grids, including highly irregular grids, and the new FPS schemes are compared against the earlier pointwise continuous TPS formulations. The earlier pointwise TPS methods can induce strong spurious oscillations for problems involving strong full-tensor anisotropy where the M-matrix conditions are violated, and can lead to decoupled solutions in such cases. Unstructured cell-centered decoupling
Who reads A family of MPFA finite-volume schemes with full pressure support for the general tensor pressure equation on cell-centered triangular grids?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Helmer A. Friis; Michael G. Edwards
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV; Test accounts (ISSN 0021-9991)
- Published
- 2011
- Language
- EN
- Field
- Engineering (Physical Sciences)