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Keywords: higher order, finite volume, unstructured, full tensor.

Summary

Higher resolution schemes for convective flow approximation are developed and coupled with general continuous full-tensor Darcy flux approximations [1,2]. This development leads to new locally conservative formulations for multiphase flow in porous media.

The higher order schemes are designed for fluid transport on unstructured grids and are constructed using slope limiters such that they are stable with a maximum principle that ensures solutions are free of spurious oscillations. The slope limiters are developed to handle unstructured meshes with variable grid spacing.

Benefits of the resulting schemes are demonstrated for classical test problems in reservoir simulation including cases with full tensor permeability fields. The test cases involve a range of unstructured grids with highly irregular grid spacing and orientation that lead to flow fields that are poorly resolved by standard simulation methods. The higher order schemes are shown to effectively reduce numerical diffusion leading to improved resolution of concentration and saturation fronts.

References

1: Edwards M.G., "Higher-Resolution Hyperbolic - Coupled - Elliptic Flux-Continuous CVD Schemes on Structured and Unstructured Grids in 2-D", Int. J. for Num Methods in Fluids, Vol 51, pp 1059-1077, 2006. doi:10.1002/fld.1245
2: Jameson A., "Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence in Transonic and hypersonic Flows", AIAA 93-3359, 1993.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 85 PROCEEDINGS OF THE FIFTEENTH UK CONFERENCE OF THE ASSOCIATION OF COMPUTATIONAL MECHANICS IN ENGINEERING Edited by: B.H.V. Topping Paper 66 Higher Resolution Convection Schemes for Porous Media Flow Computation on Highly Distorted Unstructured Grids S. Lamine and M.G. Edwards Civil and Computational Engineering Centre, University of Wales Swansea, United Kingdom doi:10.4203/ccp.85.66 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Lamine, M.G. Edwards, "Higher Resolution Convection Schemes for Porous Media Flow Computation on Highly Distorted Unstructured Grids", in B.H.V. Topping, (Editor), "Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 66, 2007. doi:10.4203/ccp.85.66 Keywords: higher order, finite volume, unstructured, full tensor. Summary Higher resolution schemes for convective flow approximation are developed and coupled with general continuous full-tensor Darcy flux approximations [1,2]. This development leads to new locally conservative formulations for multiphase flow in porous media. The higher order schemes are designed for fluid transport on unstructured grids and are constructed using slope limiters such that they are stable with a maximum principle that ensures solutions are free of spurious oscillations. The slope limiters are developed to handle unstructured meshes with variable grid spacing. Benefits of the resulting schemes are demonstrated for classical test problems in reservoir simulation including cases with full tensor permeability fields. The test cases involve a range of unstructured grids with highly irregular grid spacing and orientation that lead to flow fields that are poorly resolved by standard simulation methods. The higher order schemes are shown to effectively reduce numerical diffusion leading to improved resolution of concentration and saturation fronts. References 1 Edwards M.G., "Higher-Resolution Hyperbolic - Coupled - Elliptic Flux-Continuous CVD Schemes on Structured and Unstructured Grids in 2-D", Int. J. for Num Methods in Fluids, Vol 51, pp 1059-1077, 2006. doi:10.1002/fld.1245 2 Jameson A., "Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence in Transonic and hypersonic Flows", AIAA 93-3359, 1993. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £75 +P&P)
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