Upwind Schemes for Scalar Advection-Dominated Problems in the Discrete Exterior Calculus

DOI10.1007/978-3-319-56602-3_6zbMath1391.76545OpenAlexW2735500950MaRDI QIDQ4637270

Michael Griebel, Christian Rieger, Alexander Schier

Publication date: 18 April 2018

Published in: Transport Processes at Fluidic Interfaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-56602-3_6

Mathematics Subject Classification ID

Related Items (4)

Discrete exterior calculus for meshes with concyclic polygons ⋮ Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation ⋮ Supraconservative Finite-Volume Methods for the Euler Equations of Subsonic Compressible Flow ⋮ Equivalence of DEC and box methods for the diffusion-advection-reaction equation

Uses Software

• PyDEC

Cites Work

• Discrete Lie advection of differential forms
• Discrete exterior calculus discretization of incompressible Navier-Stokes equations over surface simplicial meshes
• Improving the mass conservation of the level set method in a finite element context
• Nonobtuse triangulation of polygons
• Orientational order on surfaces: the coupling of topology, geometry, and dynamics
• Discrete Poincaré lemma
• Geometric and combinatorial properties of well-centered triangulations in three and higher dimensions
• Eulerian and semi-Lagrangian methods for convection-diffusion for differential forms
• A short course in computational geometry and topology
• PyDEC
• Numerical simulation of bubble and droplet deformation by a level set approach with surface tension in three dimensions
• Finite element exterior calculus: from Hodge theory to numerical stability
• Numerical Simulation in Fluid Dynamics
• Numerical Methods for Elliptic and Parabolic Partial Differential Equations
• Discrete Exterior Calculus (DEC) for the Surface Navier-Stokes Equation
• Geometry and Topology for Mesh Generation
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