Adaptive triangulation of evolving, closed, or open surfaces by the advancing-front method

DOI10.1006/jcph.1998.6030zbMath0947.76068OpenAlexW2031095063MaRDI QIDQ1268305

C. Pozrikidis, S. Kwak

Publication date: 2 November 2000

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

Full work available at URL: https://doi.org/10.1006/jcph.1998.6030

zbMATH Keywords

closed surfacesadvancing-front methodquadratic triangular elementssimply connected open surfaces

Mathematics Subject Classification ID

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) Basic methods in fluid mechanics (76M99)

Related Items

Influence of pressure-dependent surface viscosity on dynamics of surfactant-laden drops in shear flow, Moving meshes in complex configurations using the composite sliding grid method, A 3-D indirect boundary element method for bounded creeping flow of drops, A spectral boundary element algorithm for interfacial dynamics in two-dimensional Stokes flow based on Hermitian interfacial smoothing, Numerical simulation of breakup of a viscous drop in simple shear flow through a volume-of-fluid method, An efficient algorithm for hydrodynamical interaction of many deformable drops, A finite volume/boundary element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop, Effect of inertia on drop breakup under shear, Curve linearization and discretization for meshing composite parametric surfaces, Three-dimensional oscillations of rising bubbles, An adaptive mesh algorithm for evolving surfaces: simulations of drop breakup and coalescence, A fast algorithm for simulating vesicle flows in three dimensions, Motion of a capsule in a cylindrical tube: effect of membrane pre-stress, Comparison of two mathematical models for solving the dam break problem using the FEM method, Interfacial dynamics for Stokes flow., Influence of surface viscosity on droplets in shear flow, Stokes-Cahn-Hilliard formulation in sliding bi-periodic frames for the simulation of two-phase flows, A moving mesh finite element algorithm for singular problems in two and three space dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Adaptive remeshing for compressible flow computations
• Motion and deformation of liquid drops, and the rheology of dilute emulsions in simple shear flow
• Data point selection for piecewise linear curve approximation
• Lagrange-Galerkin methods on spherical geodesic grids
• Regridding surface triangulations
• A finite volume/boundary element method for flow past interfaces in the presence of surfactants, with application to shear flow past a viscous drop
• Deformation of a liquid drop adhering to a plane wall: Significance of the drop viscosity and the effect of an insoluble surfactant
• A new mesh generation scheme for arbitrary planar domains
• Mesh generation with adaptive finite element analysis
• Deformation of liquid capsules enclosed by elastic membranes in simple shear flow: large deformations and the effect of fluid viscosities
• The advancing‐front mesh generation method revisited
• Numerical simulation of a concentrated emulsion in shear flow
• Motion of an array of drops through a cylindrical tube
• The deformation of a drop in a general time-dependent fluid flow