Velocity interpolation and streamline tracing on irregular geometries

DOI10.1007/s10596-011-9256-0zbMath1254.65035OpenAlexW2045046439MaRDI QIDQ695737

Atgeirr F. Rasmussen, Annette F. Stephansen, Runhild Aae Klausen

Publication date: 17 December 2012

Published in: Computational Geosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10596-011-9256-0

zbMATH Keywords

interpolationpolyhedrastreamlinesbarycentric coordinatespolygonsuniform flow\(H\)(curl)\(H\)(div)general meshraw- and full-field methods

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (10)

Point cloud movement for fully Lagrangian meshfree methods ⋮ Construction of scalar and vector finite element families on polygonal and polyhedral meshes ⋮ Efficient reordered nonlinear Gauss-Seidel solvers with higher order for black-oil models ⋮ Implementation of streamline simulation based on finite element method in FEniCS ⋮ Particle tracking for face-based flux data on general polyhedral grids with applications to groundwater flow modelling ⋮ Minimal degree $H(\mathrm {curl})$ and $H(\mathrm {div})$ conforming finite elements on polytopal meshes ⋮ Continuous streamline trajectories on complex grids ⋮ Efficient flow diagnostics proxies for polymer flooding ⋮ On vector field reconstructions for semi-Lagrangian transport methods on geodesic staggered grids ⋮ A Family of $H(div)$ Finite Element Approximations on Polygonal Meshes

Uses Software

• DistMesh
• BRENT

Cites Work

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• Unified formulation for high-order streamline tracing on two-dimensional unstructured grids
• Error estimates for generalized barycentric interpolation
• Robust convergence of multi point flux approximation on rough grids
• A rational finite element basis
• Mean value coordinates
• Barycentric coordinates for convex sets
• Convergence of a symmetric MPFA method on quadrilateral grids
• Convergence of multipoint flux approximations on quadrilateral grids
• Mixed and Hybrid Finite Element Methods
• Derivation of Efficient, Continuous, Explicit Runge–Kutta Methods
• Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
• Generalized Barycentric Coordinates on Irregular Polygons
• A Simple Mesh Generator in MATLAB
• Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
• QuadrilateralH(div) Finite Elements

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