A new method for the level set equation using a hierarchical-gradient truncation and remapping technique

DOI10.1016/j.cpc.2013.02.002zbMath1301.65100OpenAlexW2117502462MaRDI QIDQ463027

Jean-Christophe Nave, Haruhiko Kohno

Publication date: 23 October 2014

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.02.002

zbMATH Keywords

interface capturingsemi-Lagrangian schemelevel set equationadvection problem

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) First-order hyperbolic equations (35L02)

Related Items (5)

A characteristic mapping method for the two-dimensional incompressible Euler equations ⋮ A mass conserving level set method for detailed numerical simulation of liquid atomization ⋮ A characteristic mapping method for the three-dimensional incompressible Euler equations ⋮ A projection-based characteristic mapping method for tracer transport on the sphere ⋮ The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets

Uses Software

• H-GTaR

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• A conservative high order semi-Lagrangian WENO method for the Vlasov equation
• A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change
• A gradient-augmented level set method with an optimally local, coherent advection scheme
• A second order accurate level set method on non-graded adaptive Cartesian grids
• Cubic interpolated pseudo-particle method (CIP) for solving hyperbolic- type equations
• Efficient implementation of essentially nonoscillatory shock-capturing schemes
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• A level set approach for computing solutions to incompressible two-phase flow
• Weighted essentially non-oscillatory schemes
• A forward-trajectory global semi-Lagrangian transport scheme.
• A second-order projection method for the incompressible Navier-Stokes equations
• A hybrid particle level set method for improved interface capturing
• Numerical analysis of moving interfaces using a level set method coupled with adaptive mesh refinement
• An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• A fast marching level set method for monotonically advancing fronts.
• The constrained interpolation profile method for multiphase analysis.

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