Download e-book for kindle: Computational Challenges in the Geosciences by Robert L. Higdon (auth.), Clint Dawson, Margot Gerritsen

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By Robert L. Higdon (auth.), Clint Dawson, Margot Gerritsen (eds.)

ISBN-10: 1461474337

ISBN-13: 9781461474333

ISBN-10: 1461474345

ISBN-13: 9781461474340

Computational demanding situations within the Geosciences addresses a cross-section of grand problem difficulties coming up in geoscience purposes, together with groundwater and petroleum reservoir simulation, storm hurricane surge, oceanography, volcanic eruptions and landslides, and tsunamis. every one of those functions offers upward push to advanced actual and mathematical types spanning a number of space-time scales, which could simply be studied via machine simulation. the knowledge required via the types is usually hugely doubtful, and the numerical answer of the versions calls for subtle algorithms that are mathematically actual, computationally effective and but needs to shield easy actual houses of the types. This quantity summarizes present methodologies and destiny examine demanding situations during this extensive and significant box.

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Comput. Phys. 227(6), 3089 (2008). 027 16. T. Chow, Open Channel Hydraulics (McGraw-Hill, 1959) 17. L. George, Finite volume methods and adaptive refinement for tsunami propagation and inundation. D. thesis, University of Washington (2006) 18. L. George, Int. J. Numer. Meth. Fluids 66(8), 939 (2011). 2298 19. E. Green, P. Naghdi, Journal of Fluid Mech. 78, 237 (1976) 20. K. G. Zhou, Int. J. Numer. Meth. Fluids 28, 541 (1998) 21. Z. Li, B. Johns, Int. J. Numer. Meth. Fluids 35, 299 (2001) 22. J.

Not only do mathematical models of these flows present the standard difficulties common to hyperbolic systems, they also require specialized techniques specific to free-surface flows over topography and multiscale resolution. Despite these challenges, it is possible to design algorithms that can effectively and efficiently simulate a range of free-surface flows. Acknowledgements The work described in this paper has resulted from an active collaboration of researchers in mathematics, computer science, and the geosciences.

L. George hyperbolic with a simple analytically known eigenstructure. Because pressure is not a conserved quantity, the system has nonconservative products that must be handled numerically (described briefly in Sect. 3). 4 Hybrid Models Some geophysical applications contain multiple interacting flow phenomena, each of which can be described by a distinct depth-averaged model. Hybrid models formed by coupling together individual depth-averaged equations are sometimes used for these applications.

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Computational Challenges in the Geosciences by Robert L. Higdon (auth.), Clint Dawson, Margot Gerritsen (eds.)

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