Download e-book for kindle: Advances in DUNE: Proceedings of the DUNE User Meeting, Held by Andreas Dedner, Visit Amazon's Bernd Flemisch Page, search

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 disbursed and Unified
Numerics setting, is an open-source modular toolbox
for fixing partial differential equations with grid-based tools.
This e-book covers fresh advances within the improvement
and utilization of DUNE.
It comprises a set of thirteen articles which ordinarily advanced from talks given on the First DUNE person assembly in Stuttgart, Germany, 6.-8.10.2010.
The articles properly illustrate the complicated services and the robust versatility of the DUNE framework. the 1st half provides extensions of the DUNE center 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 a number of exterior DUNE modules facing, e.g., diminished foundation tools, unfitted discontinuous Galerkin equipment, optimum keep watch over difficulties, and porous media purposes.
Specific equipment and functions are topic of the 3rd half,
ranging from two-phase move in porous media over the implementation of hybrid discontinuous Galerkin and heterogeneous multi-scale tools as much as the coupling of DUNE with an present finite aspect package.

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Additional info for Advances in DUNE: Proceedings of the DUNE User Meeting, Held in October 6th–8th 2010 in Stuttgart, Germany

Example text

De/ 14. org The D UNE -P RISM G RID Module Christoph Gersbacher Abstract. In this paper, we describe the design and implementation of the D UNE meta grid module D UNE -P RISM G RID. A meta grid is a D UNE grid wrapper for any other D UNE grid, the so-called host grid. From the host grid’s elements prismatic grid cells are constructed, leading to a higher-dimensional grid with a distinguished direction. In order to exploit the prismatic grid structure, several additional element iterators are available in D UNE -P RISM G RID.

The class Geometry for example is specialized for these two situations. A subentity is identified by its subIndex relative to the entity it is contained in. 4 Grid Refinement For the time being, a PrismGrid is not hierarchical. , are available. However, the method globalRefine for global grid refinement is implemented. A single refinement results in calling the corresponding method on the host grid (possibly several times), while the number of intervals of the underlying LineGrid is doubled. Note that the grid width will be decreased by the factor 2: // refine mesh globally by one refCount levels void globalRefine ( int refCount ) { ...

The AdaptiveDiscreteFunction implementation used in this example is optimized for computations where local grid adaptivity is an important factor in the overall run time of the simulation. A further example is the BlockVectorDiscreteFunction which is optimized for using the solvers in D UNE -I STL. Listing 4 demonstrates how to handle the discretization of evolution equations in D UNE -F EM. Assuming that a discrete spatial operator DiscreteOperatorType is given, the construction of an ODE solver and the simple implementation of a time stepping scheme is shown.

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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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