Streamline integration as a method for two-dimensional elliptic grid generation

DOI10.1016/j.jcp.2017.03.056zbMath1380.65237arXiv1610.07939OpenAlexW2544870538MaRDI QIDQ1686458

Lukas Einkemmer, Markus Held, Matthias Wiesenberger

Publication date: 15 December 2017

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

Full work available at URL: https://arxiv.org/abs/1610.07939

zbMATH Keywords

elliptic grid generationdiscontinuous Galerkinorthogonal gridsconformal grid generation

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)

Related Items (3)

Numerical evaluation of line, surface and toroidal integrals on level sets of toroidally symmetric functions ⋮ A finite volume flux coordinate independent approach ⋮ Streamline integration as a method for structured grid generation in X-point geometry

Uses Software

• FELTOR

Cites Work

• Three discontinuous Galerkin schemes for the anisotropic heat conduction equation on non-aligned grids
• A conservative discontinuous Galerkin scheme for the 2D incompressible Navier-Stokes equations
• Bézier surfaces and finite elements for MHD simulations
• TOMCAT - a code for numerical generation of boundary-fitted curvilinear coordinate systems on fields containing any number of arbitrary two- dimensional bodies
• Ideal MHD stability calculations in axisymmetric toroidal coordinate systems
• Superconvergence of the Local Discontinuous Galerkin Method for Elliptic Problems on Cartesian Grids
• Solving Ordinary Differential Equations I
• An elliptic method for construction of adaptive spatial grids
• Guiding center drift equations
• Plasma equilibrium with rational magnetic surfaces
• Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems
• Pattern formation outside of equilibrium
• Some computational aspects on generating numerical grids
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