Adaptive Mesh Refinement algorithm based on dual trees for cells and faces for multiphase compressible flows

Autor: Kevin Schmidmayer, Eric Daniel, Fabien Petitpas
Přispěvatelé: Caltech Division of Engineering and Applied Science, California Institute of Technology (CALTECH), Institut universitaire des systèmes thermiques industriels (IUSTI), Aix Marseille Université (AMU)-Centre National de la Recherche Scientifique (CNRS), Aix Marseille Université (AMU)
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Physics and Astronomy (miscellaneous)
Computer science
multiphase flow
[INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]
010103 numerical & computational mathematics
01 natural sciences
Compressible flow
[SPI.MECA.MEFL]Engineering Sciences [physics]/Mechanics [physics.med-ph]/Fluids mechanics [physics.class-ph]
cell tree
Code (cryptography)
adaptive mesh refinement
0101 mathematics
compressible flow
Numerical Analysis
Adaptive mesh refinement
diffuse interface
Applied Mathematics
Multiphase flow
[SPI.MECA]Engineering Sciences [physics]/Mechanics [physics.med-ph]
Data structure
[INFO.INFO-MO]Computer Science [cs]/Modeling and Simulation
Computer Science Applications
Dual (category theory)
010101 applied mathematics
Computational Mathematics
Test case
Flow (mathematics)
ACM: I.: Computing Methodologies/I.6: SIMULATION AND MODELING
Modeling and Simulation
Algorithm
face tree
Zdroj: Journal of Computational Physics
Journal of Computational Physics, 2019, 388, pp.252-278. ⟨10.1016/j.jcp.2019.03.011⟩
Journal of Computational Physics, Elsevier, 2019, ⟨10.1016/j.jcp.2019.03.011⟩
ISSN: 0021-9991
1090-2716
DOI: 10.1016/j.jcp.2019.03.011⟩
Popis: International audience; A novel adaptive mesh refinement method is proposed. The novelty of the method lies in using a dual data structure with two trees: A classical one for the computational cells and an extra one dedicated to computational cell faces. This new dual structure simplifies the algorithm, making the method easy to implement. It results in an efficient adaptive mesh refinement method that preserves an acceptable memory cost. This adaptive mesh refinement method is then applied to compressible multiphase flows in the framework of diffuse-interface methods. Efficiency of the method is demonstrated thanks to computational results for different applications: Transport, shock tube, surface-tension flow, cavitation and water-droplet atomization, in one and multi-dimensions. The test cases are performed with the open-source code ECOGEN and with quantitative comparisons regarding non-adaptive mesh refinement methods to analyze benefits. A discussion specific to parallel computing is also presented.
Databáze: OpenAIRE
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