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Experimenting with the p4est library for AMR simulations of two-phase flows

Authors: Drui, Florence; Fikl, Alexandru; Kestener, Pierre; Kokh, Samuel; Larat, Adam; Le Chenadec, Vincent; Massot, Marc;

Experimenting with the p4est library for AMR simulations of two-phase flows

Abstract

Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high level of resolution is used in the appropriate areas while keeping a coarse mesh elsewhere. This idea allows to save time and computations, but represents a challenge for distributed-memory environments. The MARS project (for Multiphase Adaptative Refinement Solver) intends to assess the parallel library p4est for adaptive mesh, in a case of a finite volume scheme applied to two-phase flows. Besides testing the library's performances, particularly for load balancing, its user-friendliness in use and implementation are also exhibited here. First promising 3D simulations are even presented.

Country
France
Keywords

[PHYS.PHYS.PHYS-FLU-DYN]Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], FOS: Computer and information sciences, Discrete Mathematics (cs.DM), FOS: Physical sciences, [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], [INFO.INFO-DC] Computer Science [cs]/Distributed, Parallel, and Cluster Computing [cs.DC], QA1-939, FOS: Mathematics, Mathematics - Numerical Analysis, [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], [INFO.INFO-MS]Computer Science [cs]/Mathematical Software [cs.MS], [INFO.INFO-DC]Computer Science [cs]/Distributed, T57-57.97, Applied mathematics. Quantitative methods, Fluid Dynamics (physics.flu-dyn), 028, [PHYS.PHYS.PHYS-FLU-DYN] Physics [physics]/Physics [physics]/Fluid Dynamics [physics.flu-dyn], Physics - Fluid Dynamics, Numerical Analysis (math.NA), [MATH.MATH-NA] Mathematics [math]/Numerical Analysis [math.NA], [INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation, Parallel, [INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM], and Cluster Computing [cs.DC], [INFO.INFO-MS] Computer Science [cs]/Mathematical Software [cs.MS], Computer Science - Distributed, Parallel, and Cluster Computing, [INFO.INFO-MO] Computer Science [cs]/Modeling and Simulation, Distributed, Parallel, and Cluster Computing (cs.DC), [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA], Mathematics, Computer Science - Discrete Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
Published in a Diamond OA journal
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