SkvG: Cache-Optimal Parallel Solution of PDEs on High Performance Computers Using Space-Trees and Space-Filling Curves

Langlotz, Markus; Mehl, Miriam; Weinzierl, Tobias; Zenger, Christoph

doi:10.1007/3-540-28555-5_7

Cited by 2 publications

(1 citation statement)

References 12 publications

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“…The parallelisation of Peano follows a domain decomposition approach based on the ordering of grid cells along the corresponding discrete iterate of the Peano curve. Simply spoken, the queue of grid cells resulting from the ordering along the respective iterate of the Peano curve is cut into equal pieces to achieve a balanced partitioning [24,29]. Parallelisation concepts based on space-filling curves have become more and more popular in the recent years and have successfully been implemented by different groups (see for example [11,23,26,46,56] and citations therein).…”

Section: Introductionmentioning

confidence: 99%

Towards multi-phase flow simulations in the PDE framework Peano

et al. 2011

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In this work, we present recent enhancements and new functionalities of our flow solver in the partial differential equation framework Peano. We start with an introduction including an overview of the Peano development and a short description of the basic concepts of Peano and the flow solver in Peano concerning the underlying structured but adaptive Cartesian grids, the data structure and data access optimisation, and spatial and time discretisation of the flow solver. The new features cover geometry interfaces and additional application functionalities. The two geometry interfaces, a triangulation-based description supported by the tool preCI-CE and a built-in geometry using geometry primitives such as cubes, spheres, or tetrahedra allow for the efficient treatment of complex and changing geometries, an essential ingredient for most application scenarios. The new application functionality concerns a coupled heat-flow problem and two-phase flows. We present numerical examples, performance and validation results for these new functionalities.

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