Establishing mesh topology in multi-material cells: enabling technology for robust and accurate multi-material simulations

DOI10.1016/j.compfluid.2018.05.026zbMath1410.76239OpenAlexW2805677869WikidataQ115062445 ScholiaQ115062445MaRDI QIDQ1653761

Evgeny Kikinzon, Mikhail J. Shashkov, Rao V. Garimella

Publication date: 6 August 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/1440485

zbMATH Keywords

interface reconstructionmulti-material problems

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Software, source code, etc. for problems pertaining to fluid mechanics (76-04)

Related Items (6)

Intersection-distribution-based remapping between arbitrary meshes for staggered multi-material arbitrary Lagrangian-Eulerian hydrodynamics ⋮ Diffuse interface relaxation model for two-phase compressible flows with diffusion processes ⋮ Multi-material swept face remapping on polyhedral meshes ⋮ Moments-based interface reconstruction, remap and advection ⋮ A higher order approximate static condensation method for multi-material diffusion problems ⋮ Moment-of-fluid analytic reconstruction on 3D rectangular hexahedrons

Uses Software

• Thrust
• MMMFEM
• CutFEM
• GitHub
• Jali
• XMOF2D
• ShaPo

Cites Work

• Conservative multi-material remap for staggered multi-material arbitrary Lagrangian-Eulerian methods
• Constrained optimization framework for interface-aware sub-scale dynamics closure model for multimaterial cells in Lagrangian and arbitrary Lagrangian-Eulerian hydrodynamics
• Implementation of a mortar mixed finite element method using a multiscale flux basis
• Approximate static condensation algorithm for solving multi-material diffusion problems on meshes non-aligned with material interfaces
• A robust Nitsche's formulation for interface problems
• Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
• Mimetic finite difference method
• Coupling volume-of-fluid based interface reconstructions with the extended finite element method
• Reconstruction of multi-material interfaces from moment data
• A second-order accurate material-order-independent interface reconstruction technique for multi-material flow simulations
• Computational methods in Lagrangian and Eulerian hydrocodes
• Reconstructing volume tracking
• Adaptive precision floating-point arithmetic and fast robust geometric predicates
• An unfitted finite element method, based on Nitsche's method, for elliptic interface problems.
• Solving the diffusion equation on a non-aligned mesh
• Constrained optimization framework for interface-aware sub-scale dynamics models for voids closure in Lagrangian hydrodynamics
• Multi-material interface reconstruction on generalized polyhedral meshes
• CutFEM: Discretizing geometry and partial differential equations
• Solution of the diffusion equation in multi‐material domains by sub‐division of elements along reconstructed interfaces
• An arbitrary Lagrangian-Eulerian computing method for all flow speeds

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