Publications
96 results found
Salinas P, Percival J, Pavlidis D, et al., 2015, A discontinuous overlapping control volume finite element method for multi-phase porous media flow using dynamic unstructured mesh optimization, SPE Reservoir Simulation Symposium
Salinas P, Percival JR, Pavlidis D, et al., 2015, A new approach to reservoir modeling and simulation using boundary representation, adaptive unstructured meshes and the discontinuous overlapping control volume finite element method, Pages: 241-245
We present a new, high-order, control-volume-finite-element (CVFE) method with discontinuous Nthorder representation for pressure and (N+1)th-order for velocity. The method conserves mass and ensures that the extended Darcy equations for multi-phase flow are exactly enforced, but does not require the use of control volumes (CVs) that span domain boundaries. We demonstrate that the approach, amongst other features, accurately preserves sharp saturation changes associated with high aspect ratio geologic features such as fractures and mudstones, allowing efficient simulation of flow in highly heterogeneous models. Moreover, in conjunction with dynamic mesh optimization, in which the mesh adapts in space and time to key solution fields such as pressure, velocity or saturation whilst honoring a surface-based representation of the underlying geologic heterogeneity, accurate solutions are obtained at significantly lower computational cost than an equivalent fine, fixed mesh and conventional CVFE methods. The work presented is significant for two reasons. First, it resolves a longstanding problem associated with the use of classical CVFE methods to model flow in highly heterogeneous porous media; second, it reduces computational cost/increases solution accuracy through the use of dynamic mesh optimization without compromising parallelization.
Pavlidis D, Gomes JLMA, Salinas P, et al., 2015, Numerical modelling of debris bed water quenching, IUTAM SYMPOSIUM ON MULTIPHASE FLOWS WITH PHASE CHANGE: CHALLENGES AND OPPORTUNITIES, Vol: 15, Pages: 64-71, ISSN: 2210-9838
Rodrigo C, Salinas P, Gaspar FJ, et al., 2014, Local Fourier analysis for cell-centered multigrid methods on triangular grids, Journal of Computational and Applied Mathematics, ISSN: 0377-0427
Salinas P, Rodrigo C, Gaspar FJ, et al., 2013, An efficient cell-centered multigrid method for problems with discontinuous coefficients on semi-structured triangular grids, Computers & Mathematics with Applications, ISSN: 0898-1221
Salinas P, Rodrigo C, Gaspar FJ, et al., 2013, Multigrid methods for cell-centered discretizations on triangularmeshes, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Vol: 20, Pages: 626-644, ISSN: 1070-5325
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