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Read e-book online Advances in DUNE: Proceedings of the DUNE User Meeting, Held PDF

By Andreas Dedner, Visit Amazon's Bernd Flemisch Page, search results, Learn about Author Central, Bernd Flemisch, , Robert Klöfkorn

ISBN-10: 3642285880

ISBN-13: 9783642285882

ISBN-10: 3642285899

ISBN-13: 9783642285899

DUNE, the dispensed and Unified
Numerics surroundings, is an open-source modular toolbox
for fixing partial differential equations with grid-based equipment.
This booklet covers contemporary advances within the improvement
and utilization of DUNE.
It involves a set of thirteen articles which commonly advanced from talks given on the First DUNE person assembly in Stuttgart, Germany, 6.-8.10.2010.
The articles well illustrate the complex functions and the powerful versatility of the DUNE framework. the 1st half provides extensions of the DUNE middle modules, together with the development of neighborhood finite aspect areas, a discretization toolbox, and meta-grids,
as good as a dialogue of functionality pitfalls. the second one half introduces numerous exterior DUNE modules facing, e.g., decreased foundation equipment, unfitted discontinuous Galerkin equipment, optimum keep watch over difficulties, and porous media functions.
Specific equipment and purposes are topic of the 3rd half,
ranging from two-phase circulation in porous media over the implementation of hybrid discontinuous Galerkin and heterogeneous multi-scale equipment as much as the coupling of DUNE with an current finite point package.

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We remark that for the visualization a smoothing operator was applied to the discrete height function. The numerical solution was computed using piecewise linear basis functions. Initial data is shown in the left picture in 6a, the velocity field is zero. Figure 6b shows the computed solution at a later time (for a full description of the test and the parameters chosen see [6]). 44 5 C. Gersbacher Conclusion In this paper we presented the D UNE meta grid module D UNE -P RISM G RID. Higherdimensional prismatic elements are constructed from an arbitrary D UNE host grid.

In the newly added direction, grid cells will always align. At the time of this writing, the distribution of prismatic cells in this direction is restricted to the structured case αi = α0 + iΔ , Δ = (αL − α0 )/L. 3 Using D UNE -P RISM G RID In this section we give a short introduction on how to use D UNE -P RISM G RID. We show how an object of type PrismGrid is created, how the additional element iterators are used, and how to access the host grid wrapped within a PrismGrid. Note that for the time being a PrismGrid is not hierarchical.

Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation. Discrete Contin. Dyn. , Ser. B1 1(1), 89–102 (2001) 6. : Local Discontinuous Galerkin Verfahren zur Simulation flacher dreidimensionaler Str¨omungen mit freier Oberfl¨ache. Diploma thesis. University of Freiburg (2008) 7. : Numerical Schemes for Conservation Laws. Wiley-Teubner, Chichester (1997) 8. : Efficient Numerical Approximation of the Effective Hamiltonian. Doctoral dissertation. University of Freiburg (2011) 9.

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Advances in DUNE: Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany by Andreas Dedner, Visit Amazon's Bernd Flemisch Page, search results, Learn about Author Central, Bernd Flemisch, , Robert Klöfkorn


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