Partitioned Coupling Schemes for Free-Flow and Porous-Media Applications with Sharp Interfaces

DOI10.1007/978-3-030-43651-3_57zbMath1454.65146OpenAlexW3035738955MaRDI QIDQ5117486

Miriam Schulte, Kilian Weishaupt, Alexander Jaust, Bernd Flemisch

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_57

zbMATH Keywords

Stokes equationfinite-volume methodsDarcy flowpartitioned couplingDuMu\(^{\text{x}}\)

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite volume methods applied to problems in fluid mechanics (76M12) Stokes and related (Oseen, etc.) flows (76D07) Free boundary problems for PDEs (35R35) Finite volume methods for boundary value problems involving PDEs (65N08) Liquid-liquid two component flows (76T06)

Uses Software

• UMFPACK
• preCICE
• DuMuX

Cites Work

• Partitioned simulation of fluid-structure interaction. Coupling black-box solvers with quasi-Newton techniques
• On classical iterative subdomain methods for the Stokes-Darcy problem
• Navier-Stokes/Darcy coupling: modeling, analysis, and numerical approximation
• preCICE -- a fully parallel library for multi-physics surface coupling
• DuMu\(^{\text x} 3\) -- an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling
• Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
• Numerical solution of saddle point problems
• Optimized Schwarz methods for the Stokes–Darcy coupling
• Algorithm 832

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