Conservative interpolation on unstructured polyhedral meshes: an extension of the supermesh approach to cell-centered finite-volume variables

DOI10.1016/j.cma.2011.04.025zbMath1230.76034OpenAlexW2063268246MaRDI QIDQ660267

Sandeep Menon, David P. Schmidt

Publication date: 1 February 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2011.04.025

zbMATH Keywords

finite volume methodmesh adaptationpolyhedral meshesremappingconservative interpolationsupermesh

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Diffusion and convection (76R99)

Related Items (22)

Large-scale parallel simulation with implicit conservative overlapped grid technique for compressor flow ⋮ Parallel adaptive simplical re-meshing for deforming domain CFD computations ⋮ Numerical method for coupled interfacial surfactant transport on dynamic surface meshes of general topology ⋮ Direct numerical simulation of droplet formation processes under the influence of soluble surfactant mixtures ⋮ Flux-conserving treatment of non-conformal interfaces for finite-volume discretization of conservation laws ⋮ High order accurate conservative remapping scheme on polygonal meshes using \textit{a posteriori} MOOD limiting ⋮ Development of a parallelised fluid solver for problems with mesh interfaces and deforming domains ⋮ Conservative remapping of material-dependent fields between possibly misaligned material regions ⋮ A parallel matrix-free conservative solution interpolation on unstructured tetrahedral meshes ⋮ Complexity bounds on supermesh construction for quasi-uniform meshes ⋮ One-step hybrid remapping algorithm for multi-material arbitrary Lagrangian-Eulerian methods ⋮ triSurfaceImmersion: computing volume fractions and signed distances from triangulated surfaces immersed in unstructured meshes ⋮ Computing the Distance between Two Finite Element Solutions Defined on Different 3D Meshes on a GPU ⋮ An effective integration of methods for second-order three-dimensional multi-material ALE method on unstructured hexahedral meshes using MOF interface reconstruction ⋮ Experimental and Computational Analysis of Fluid Interfaces Influenced by Soluble Surfactant ⋮ The Collocation Basis of Compact Finite Differences for Moment-Preserving Interpolations: Review, Extension and Applications ⋮ A High-Order Cell-Centered Discontinuous Galerkin Multi-Material Arbitrary Lagrangian-Eulerian Method ⋮ A high order positivity-preserving conservative WENO remapping method on 2D quadrilateral meshes ⋮ A hybrid subcell-remapping algorithm for staggered multi-material arbitrary Lagrangian-Eulerian methods ⋮ A cell-centered discontinuous Galerkin multi-material arbitrary Lagrangian-Eulerian method in axisymmetric geometry ⋮ A high order positivity-preserving conservative WENO remapping method based on a moving mesh solver ⋮ A Lagrangian cell‐centred finite volume method for metal forming simulation

Uses Software

• pthreads
• ReALE
• REMAP3D

Cites Work

• Unnamed Item
• Unnamed Item
• The addition of fields on different meshes
• Conservative interpolation between volume meshes by local Galerkin projection
• Conservative interpolation between unstructured meshes via supermesh construction
• Two-step hybrid conservative remapping for multimaterial arbitrary Lagrangian-Eulerian methods
• Conservative rezoning (remapping) for general quadrilateral meshes
• Reale: a Reconnection-based Arbitrary-Lagrangian-Eulerian method
• An efficient linearity and bound preserving conservative interpolation (remapping) on polyhedral meshes
• Conservative remapping and region overlays by intersecting arbitrary polyhedra
• An efficient linearity-and-bound-preserving remapping method
• A moving unstructured staggered mesh method for the simulation of incompressible free-surface flows.
• Second-order sign-preserving conservative interpolation (remapping) on general grids
• A subcell remapping method on staggered polygonal grids for arbitrary-Lagrangian-Eulerian methods
• Adaptive tetrahedral meshing in free-surface flow
• P¹-conservative solution interpolation on unstructured triangular meshes
• Accurate Conservative Remapping (Rezoning) for Arbitrary Lagrangian-Eulerian Computations
• An Optimal Algorithm for Intersecting Three-Dimensional Convex Polyhedra
• Common‐refinement‐based data transfer between non‐matching meshes in multiphysics simulations
• Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations

This page was built for publication: Conservative interpolation on unstructured polyhedral meshes: an extension of the supermesh approach to cell-centered finite-volume variables