PPM – A highly efficient parallel particle–mesh library for the simulation of continuum systems

PreprintInternational audienceIn this article we propose and validate new remeshing schemes for the simulation of transport equations by particle methods. Particle remeshing is a common way to control the regularity of the particle distribution which is necessary to guarantee the accuracy of particle methods in presence of strong strain in a flow. Using a grid-based analysis, we derive remeshing schemes that can be used in a consistent way at every time-step in a particle method. The schemes are obtained by local corrections of classical third order and fth order interpolation kernels. The time-step to be used in the resulting push-and-remesh particle method is determined on the basis of rigorous bounds and can signi cantly exceed values obtained by CFL conditions in usual grid-based Eulerian methods. In addition, we extend the analysis of [5] to obtain TVD remeshing schemes that avoid oscillations of remeshing formulas near sharp variations of the solution. These methods are illustrated in several flow conditions in 1D, 2D and 3D

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“…In the general case of a varying velocity field, if |νa j | ≤ 1/2 for all j the finite-difference equation (22) extends in the following way :…”

Section: Limiting Techniques For Tvd Remeshing Formulasmentioning

confidence: 99%

“…Three-dimensional simulations using remeshed particle methods followed [7,21,6,24]. A parallel library of particle-mesh programs has been designed [22] and used for extensive simulations of vortex dynamics [3,4]. Remeshed particle methods also enable the use of Adaptive Mesh Refinement [1,2] and particle-grid domain decomposition [20,4].…”

Section: Introductionmentioning

confidence: 99%

Accurate, non-oscillatory, remeshing schemes for particle methods

Magni

Cottet

2012

Journal of Computational Physics

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“…The PPM library [6,7] defines the state of the art in middleware for distributed-memory particle-mesh simulations. It hides MPI from the application programmer by introducing an additional, transparent layer beneath the user's simulation programs (called "PPM clients").…”

Section: Introductionmentioning

confidence: 99%

“…It hides MPI from the application programmer by introducing an additional, transparent layer beneath the user's simulation programs (called "PPM clients"). Since PPM reduces the knowledge gap, the resulting simulations often outperform hand-parallelized codes [6,8]. The PPM library is independent of specific applications, provided the simulation is phrased in terms of particles, meshes, or a combination of the two.…”

Section: Introductionmentioning

confidence: 99%

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Toward an Object-Oriented Core of the PPM Library

Awile

Demirel

Sbalzarini

2010

AIP Conference Proceedings

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A tensorial approach to computational continuum mechanics using object-oriented techniques Comput. Phys. 12, 620 (1998) Abstract. As high-performance computing (HPC) machines become increasingly complex, middleware-based programming paradigms have been particularly successful in reducing code development time and increasing simulation efficiency. The parallel particle-mesh (PPM) library is a state-of-the-art HPC middleware for parallel particle-mesh simulations. It is based on a concise set of six data and operation abstractions. The present paper describes the architecture of the new PPM library core. This new core architecture enables several simplifications in the library's user interface and supports for the first time the implementation of multi-resolution simulations using PPM. We further demonstrate the competitive performance of the new core architecture compared to the previous version of the PPM library.

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DEM Implementation

2016

Coupled CFD‐DEM Modeling

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PPM – A highly efficient parallel particle–mesh library for the simulation of continuum systems

Cited by 159 publications

References 39 publications

Accurate, non-oscillatory, remeshing schemes for particle methods

Accurate, non-oscillatory, remeshing schemes for particle methods

Toward an Object-Oriented Core of the PPM Library

DEM Implementation

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