
arXiv: 1709.07700
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.
[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
[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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