Download e-book for iPad: 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 dispensed and Unified
Numerics atmosphere, is an open-source modular toolbox
for fixing partial differential equations with grid-based equipment.
This ebook covers fresh 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 complicated functions and the robust versatility of the DUNE framework. the 1st half offers 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 a number of exterior DUNE modules facing, e.g., decreased foundation equipment, unfitted discontinuous Galerkin tools, optimum keep watch over difficulties, and porous media functions.
Specific tools and functions are topic of the 3rd half,
ranging from two-phase movement in porous media over the implementation of hybrid discontinuous Galerkin and heterogeneous multi-scale tools as much as the coupling of DUNE with an current 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

Sample text

The basic interface classes in D UNE -F EM are 1. Operator: represents an operator L , that maps from a domain function space to a range function space. 2. DiscreteOperator represents a discrete operator Lh that maps from a discrete function space (DFDomain) into another discrete function space (DFRange). In addition the type of the local Operator Le , acting on an entity e is given. To apply the discrete operator, the C++ class method operator()(arg,dest) has to be called.

The HostGridAccess structure gives access to the underlying host grid stored in the meta grid: const HostGrid & hostGrid = HostGridAccess< Grid >::hostGrid( grid ); The underlying host grid entity in a PrismGrid entity can be accessed in a similar way: const HostGrid::Codim< 0 >::Entity & hostEntity = HostGridAccess< Grid >::hostEntity( entity ); 4 Numerical Results In this section, we compare the performance of the implementation of D UNE P RISM G RID with other meta grid implementations in a standard Finite-Volume method in three spatial dimensions.

2 Ωx Fig. 5b The computational domain after σ -transformation. Application to Free-Surface Flows In this example we are interested in the numerical simulation of incompressible hydrostatic flows with a free surface. The domain occupied by the fluid at time t will be denoted by Ωt ⊂ Rd , d = 2, 3. By u = (ux , uz ) we will denote the d-dimensional velocity field, where uz is the vertical velocity component. We assume that for all times t ∈ [0,tend ] it holds Ωt = (x, z) ∈ Rd−1 × R | x ∈ Ωx , b(x) < z < s(x,t) , where b = b(x) and s = s(x,t) are smooth functions representing the bottom topography and the position of the free surface respectively (see Figure 5a).

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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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