Level set calculations of the evolution of boundaries on a dynamically adaptive grid

DOI10.1002/nme.641zbMath1031.65100OpenAlexW2084494321MaRDI QIDQ4434532

Vassili V. Sochnikov, Shlomo Efrima

Publication date: 10 November 2003

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

Full work available at URL: https://doi.org/10.1002/nme.641

zbMATH Keywords

quadtreealgorithmnumerical examplesfree boundary problemStefan problemsgrowth processesadaptive gridsdynamic gridsfast marching methodevolution of interfaceshigh-resolution stripelevel-set-methodpropagation of boundaries

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Free boundary problems for PDEs (35R35) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items

An accurate adaptive solver for surface-tension-driven interfacial flows ⋮ Topology-preserving scan-based immersed isogeometric analysis ⋮ Adaptive level set method applied to drag minimization problems constrained by Stokes equations ⋮ Regularized Dirac delta functions for phase field models ⋮ Optimality criteria coupled adaptive mesh method for optimal shape design of Stokes flow ⋮ An adaptive numerical method for free surface flows passing rigidly mounted obstacles ⋮ An adaptive level set method based on two-level uniform meshes and its application to dislocation dynamics ⋮ Explicit dynamics with a non-local damage model using the thick level set approach ⋮ Sensitivity analysis of finite volume simulations of a breaking dam problem ⋮ Sharp interface simulations with local mesh refinement for multi-material dynamics in strongly shocked flows ⋮ Adaptively refined, parallelised sharp interface Cartesian grid method for three-dimensional moving boundary problems ⋮ A surface remeshing technique for a Lagrangian description of 3D two-fluid flow problems ⋮ Adaptive unstructured volume remeshing. I: The method ⋮ An octree-based solver for the incompressible Navier-Stokes equations with enhanced stability and low dissipation ⋮ An efficient numerical method for simulating multiphase flows using a diffuse interface model ⋮ Collapse of a liquid column: Numerical simulation and experimental validation

Cites Work

• Unnamed Item