Effects of element order and interface reconstruction in FEM/volume-of-fluid incompressible flow simulation

DOI10.1002/fld.3657zbMath1426.76302OpenAlexW1715797742MaRDI QIDQ2884043

Mark A. Christon, Samuel P. Schofield

Publication date: 14 May 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.3657

zbMATH Keywords

finite elementvariable densityincompressible flowvolume-of-fluidinterface reconstructionmoment-of-fluid

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (5)

A hybrid moment of fluid-level set framework for simulating primary atomization ⋮ Efficient sequential PLIC interface positioning for enhanced performance of the three-phase VoF method ⋮ A coupled level set-moment of fluid method for incompressible two-phase flows ⋮ Moment-of-fluid analytic reconstruction on 2D Cartesian grids ⋮ Moment-of-fluid analytic reconstruction on 3D rectangular hexahedrons

Cites Work

• Unnamed Item
• Unnamed Item
• A 2D unstructured multi-material Cell-Centered Arbitrary Lagrangian-Eulerian (CCALE) scheme using MOF interface reconstruction
• A high-order projection method for tracking fluid interfaces in variable density incompressible flows
• Reconstruction of multi-material interfaces from moment data
• Volume-of-fluid algorithm with different modified dynamic material ordering methods and their comparisons
• A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations
• Adaptive moment-of-fluid method
• A new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
• Eulerian finite element methods for the micromechanics of heterogeneous materials: Dynamic prioritization of material interfaces
• Reconstructing volume tracking
• Second-order accurate volume-of-fluid algorithms for tracking material interfaces
• A comparative study of interface reconstruction methods for multi-material ALE simulations
• A numerical method for interface reconstruction of triple points within a volume tracking algorithm
• Multi-material interface reconstruction on generalized polyhedral meshes
• The moment-of-fluid method in action
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
• On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
• A piecewise linear approach to volume tracking a triple point
• Multi-material incompressible flow simulation using the moment-of-fluid method
• The consistency of pressure-gradient approximations used in multi-dimensional shock hydrodynamics
• Interfacial transfer in Tryggvason's method
• Approximation by quadrilateral finite elements
• Dealing with pressure: FEM solution strategies for the pressure in the time-dependent Navier-Stokes equations
• On the quadrilateralQ2-P1 element for the Stokes problem
• Computational predictability of time‐dependent natural convection flows in enclosures (including a benchmark solution)

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