3D level set methods for evolving fronts on tetrahedral meshes with adaptive mesh refinement

DOI10.1016/j.jcp.2017.02.030zbMath1375.76112OpenAlexW2593470269MaRDI QIDQ1685619

Nathaniel R. Morgan, Jacob I. Waltz

Publication date: 14 December 2017

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2017.02.030

zbMATH Keywords

adaptive mesh refinementadvectionHamilton-Jacobi equationslevel setfinite differencetetrahedral meshesEulerianpoint-centered3D

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (10)

A volume-preserving reference map method for the level set representation ⋮ A massively parallel accurate conservative level set algorithm for simulating turbulent atomization on adaptive unstructured grids ⋮ A fourth-order unfitted characteristic finite element method for free-boundary problems ⋮ A review of level-set methods and some recent applications ⋮ Robust three-dimensional level-set method for evolving fronts on complex unstructured meshes ⋮ A high-order discontinuous Galerkin method for level set problems on polygonal meshes ⋮ A high-order conservative remap for discontinuous Galerkin schemes on curvilinear polygonal meshes ⋮ Adaptive mesh refinement simulations of gas dynamic flows on hybrid meshes ⋮ A-SLEIPNNIR: a multiscale, anisotropic adaptive, particle level set framework for moving interfaces. Transport equation applications ⋮ A method to solve Hamilton-Jacobi type equation on unstructured meshes

Cites Work

• Unnamed Item
• Hermite WENO schemes for Hamilton-Jacobi equations on unstructured meshes
• A point-centered arbitrary Lagrangian Eulerian hydrodynamic approach for tetrahedral meshes
• Parallel re-initialization of level set functions on distributed unstructured tetrahedral grids
• A conservative level set method suitable for variable-order approximations and unstructured meshes
• A narrow-band gradient-augmented level set method for multiphase incompressible flow
• A Godunov-like point-centered essentially Lagrangian hydrodynamic approach
• Fully multidimensional flux-corrected transport algorithms for fluids
• On reinitializing level set functions
• A second order accurate level set method on non-graded adaptive Cartesian grids
• A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
• An adaptive level set approach for incompressible two-phase flows
• Reconstructing volume tracking
• A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
• A level set approach for computing solutions to incompressible two-phase flow
• Numerical schemes for Hamilton-Jacobi equations on unstructured meshes
• A three-dimensional finite element arbitrary Lagrangian-Eulerian method for shock hydrodynamics on unstructured grids
• A high-order vertex-based central ENO finite-volume scheme for three-dimensional compressible flows
• The ghost fluid method for deflagration and detonation discontinuities
• Level set methods and dynamic implicit surfaces
• A hybrid particle level set method for improved interface capturing
• Algebraic limitations on two-dimensional hydrodynamics simulations
• Level set methods applied to modeling detonation shock dynamics
• An improved level set method for incompressible two-phase flows
• A cell-centered Lagrangian Godunov-like method for solid dynamics
• A novel coupled level set and volume of fluid method for sharp interface capturing on 3D tetrahedral grids
• Volume consistency in a staggered grid Lagrangian hydrodynamics scheme
• Two Approximations of Solutions of Hamilton-Jacobi Equations
• Geometric Conservation Law and Its Application to Flow Computations on Moving Grids
• High-Order WENO Schemes for Hamilton--Jacobi Equations on Triangular Meshes
• Numerical Discretization of Boundary Conditions for First Order Hamilton--Jacobi Equations
• Parallel adaptive refinement for unsteady flow calculations on 3D unstructured grids
• Microfluidics simulation using adaptive unstructured grids
• An Interface-Fitted Finite Element Level Set Method with Application to Solidification and Solvation
• Numerical discretization of the first-order Hamilton-Jacobi equation on triangular meshes
• Level set methods: An overview and some recent results
• Program burn algorithms based on detonation shock dynamics: discrete approximations of detonation flows with discontinuous front models.
• Coupling and Eulerian fluid calculation to a Lagrangian solid calculation with the ghost fluid method.

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