Finite volume distance field and its application to medial axis transforms

DOI10.1002/nme.2762zbMath1183.65106OpenAlexW1989118541MaRDI QIDQ5306474

Hao Xia, Paul G. Tucker

Publication date: 9 April 2010

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.2762

zbMATH Keywords

finite volumemedial axis transform\(\alpha\)-shapeEikonal equationwall distance

Mathematics Subject Classification ID

Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (13)

Efficient preprocessing of complex geometries for CFD simulations ⋮ Turbulent jet characteristics for axisymmetric and serrated nozzles ⋮ Adaptive high-order discretization of the Reynolds-averaged Navier-Stokes equations ⋮ Continuous adjoint methods for turbulent flows, applied to shape and topology optimization: industrial applications ⋮ Optimal multi-block mesh generation for CFD ⋮ Hybrid Hamilton-Jacobi-Poisson wall distance function model ⋮ Finite volume method with the Soner boundary condition for computing the signed distance function on polyhedral meshes ⋮ Laplacian regularized eikonal equation with Soner boundary condition on polyhedral meshes ⋮ Representation complexity of adaptive 3D distance fields ⋮ Numerical simulation of single-stream jets from a serrated nozzle ⋮ Novel applications of BEM based Poisson level set approach ⋮ High order finite volume schemes for solving the non-conservative convection equations on the unstructured grids ⋮ Optimal mesh topology generation for CFD

Uses Software

• DiFi

Cites Work

• Unnamed Item
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Differential equation-based wall distance computation for DES and RANS.
• Flow feature aligned grid adaptation
• Simple finite element-based computation of distance functions in unstructured grids
• On the shape of a set of points in the plane
• Three-dimensional alpha shapes
• A fast sweeping method for Eikonal equations
• A differential equation for approximate wall distance

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