A Newton–Krylov Solver for Remapping-Based Volume-of-Fluid Methods

DOI10.1137/07069571XzbMath1198.35018MaRDI QIDQ3558671

Djamel Lakehal, Petar Liovic

Publication date: 6 May 2010

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

Newton-Krylovvolume of fluidremappingnonlinear solversLagrangian mesh locationvolume tracking scheme

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Hyperbolic equations and hyperbolic systems (35L99)

Related Items (7)

Subgrid-scale modelling of surface tension within interface tracking-based large eddy and interface simulation of 3D interfacial flows ⋮ Efficient simulation of surface tension-dominated flows through enhanced interface geometry interrogation ⋮ A PLIC-VOF method suited for adaptive moving grids ⋮ An efficient bilinear interface reconstruction algorithm and consistent multidimensional unsplit advection scheme for accurate capturing of highly-curved interfacial shapes on structured grids ⋮ Conservative and bounded volume-of-fluid advection on unstructured grids ⋮ Large-eddy simulation of sheared interfacial flow ⋮ Cellwise conservative unsplit advection for the volume of fluid method

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