A numerically robust, parallel-friendly variant of BiCGSTAB for the semi-implicit integration of the viscous term in Smoothed Particle Hydrodynamics
| Autor: | Giuseppe Bilotta, Vito Zago, Veronica Centorrino, Robert A. Dalrymple, Alexis Hérault, Ciro Del Negro, Elie Saikali |
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| Přispěvatelé: | Istituto Nazionale di Geofisica e Vulcanologia - Sezione di Catania (INGV), Istituto Nazionale di Geofisica e Vulcanologia, Northwestern University [Evanston], Modélisation mathématique et numérique (M2N), Conservatoire National des Arts et Métiers [CNAM] (CNAM), HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM)-HESAM Université - Communauté d'universités et d'établissements Hautes écoles Sorbonne Arts et métiers université (HESAM), CEA- Saclay (CEA), Commissariat à l'énergie atomique et aux énergies alternatives (CEA) |
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
FOS: Computer and information sciences
Numerical Analysis Physics and Astronomy (miscellaneous) [SDU.STU.GP]Sciences of the Universe [physics]/Earth Sciences/Geophysics [physics.geo-ph] Applied Mathematics Fluid Dynamics (physics.flu-dyn) FOS: Physical sciences Physics - Fluid Dynamics Numerical Analysis (math.NA) Computer Science Applications Physics::Fluid Dynamics [PHYS.PHYS.PHYS-COMP-PH]Physics [physics]/Physics [physics]/Computational Physics [physics.comp-ph] Computational Mathematics Computer Science - Distributed Parallel and Cluster Computing Modeling and Simulation FOS: Mathematics Mathematics - Numerical Analysis Distributed Parallel and Cluster Computing (cs.DC) [MATH]Mathematics [math] ComputingMethodologies_COMPUTERGRAPHICS |
| Zdroj: | Journal of Computational Physics Journal of Computational Physics, 2022, 466, pp.111413. ⟨10.1016/j.jcp.2022.111413⟩ |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/j.jcp.2022.111413⟩ |
| Popis: | International audience; Implicit integration of the viscous term can significantly improve performance in computational fluid dynamics for highly viscous fluids such as lava. We show improvements over our previous proposal for semi-implicit viscous integration in Smoothed Particle Hydrodynamics, extending it to support a wider range of boundary models. Due to the resulting loss of matrix symmetry, a key advancement is a more robust version of the biconjugate gradient stabilized method to solve the linear systems, that is also better suited for parallelization in both shared-memory and distributed-memory systems. The advantages of the new solver are demonstrated in applications with both Newtonian and non-Newtonian fluids, covering both the numerical aspect (improved convergence thanks to the possibility to use more accurate boundary model) and the computational aspect (with excellent strong scaling and satisfactory weak scaling). |
| Databáze: | OpenAIRE |
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