A general-purpose finite-volume advection scheme for continuous and discontinuous fields on unstructured grids

DOI10.1006/JCPH.2002.7105zbMath1143.76499OpenAlexW2102015224MaRDI QIDQ947282

N. T. Padial-Collins, E. D. Dendy, W. Brian VanderHeyden

Publication date: 1 October 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcph.2002.7105

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite volume methods applied to problems in fluid mechanics (76M12)

Related Items (12)

Optimization-based synchronized flux-corrected conservative interpolation (remapping) of mass and momentum for arbitrary Lagrangian-Eulerian methods ⋮ A compressive interface-capturing scheme for computation of compressible multi-fluid flows ⋮ A PLIC-VOF method suited for adaptive moving grids ⋮ A novel steepness-adjustable harmonic volume-of-fluid method for interface capturing ⋮ Numerical simulation of two-phase free surface flows ⋮ A refined volume-of-fluid algorithm for capturing sharp fluid interfaces on arbitrary meshes ⋮ Momentum advection on unstructured staggered quadrilateral meshes ⋮ A sharpness preserving scheme for interfacial flows ⋮ A new interface‐capturing discretization scheme for numerical solution of the volume fraction equation in two‐phase flows ⋮ Numerical simulation of three‐dimensional interfacial flows ⋮ High-Order Multi-Material ALE Hydrodynamics ⋮ A two-grids/projection algorithm for obstacle problems

Uses Software

• SLIC

Cites Work

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• A stable and accurate convective modelling procedure based on quadratic upstream interpolation
• Volume of fluid (VOF) method for the dynamics of free boundaries
• A method for capturing sharp fluid interfaces on arbitrary meshes
• Multidimensional flux-limited advection schemes
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• Curvature-compensated convective transport: SMART, A new boundedness- preserving transport algorithm
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow

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