Parallel computing investigations for the projection method applied to the interface transport scheme of a two-phase flow by the method of characteristics

DOI10.1007/s11075-018-0492-4zbMath1415.65272OpenAlexW2615350353MaRDI QIDQ1717579

Toni Sayah, Mireille Haddad, Frederic Hecht, Pierre-Henri Tournier

Publication date: 7 February 2019

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-018-0492-4

zbMATH Keywords

finite element methodtwo-phase flowdomain decomposition methodsparallel computingmethod of characteristicslevel-set functionoverlapping decomposition

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Iterative numerical methods for linear systems (65F10) Parallel numerical computation (65Y05)

Uses Software

• FreeFem++
• MUMPS
• PT-Scotch

Cites Work

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• A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling
• Schwarz methods over the course of time
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• Multifrontal parallel distributed symmetric and unsymmetric solvers
• A PDE-based fast local level set method
• An Introduction to Domain Decomposition Methods
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• The Finite Element Method with Penalty
• A combined unifrontal/multifrontal method for unsymmetric sparse matrices
• A Restricted Additive Schwarz Preconditioner for General Sparse Linear Systems
• New development in freefem++
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations

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