Lagrangian Transport through Surfaces in Compressible Flows

DOI10.1137/17M1132938zbMath1394.37117arXiv1707.00518MaRDI QIDQ4608093

Daniel Karrasch, Florian Hofherr

Publication date: 15 March 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.00518

zbMATH Keywords

transportconservation lawcompressible fluidflow mapdonating region problem

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Transport processes in time-dependent statistical mechanics (82C70) Turbulent transport, mixing (76F25) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressibility effects in turbulence (76F50) Foundations of fluid mechanics (76A02)

Related Items (2)

FluxDoRe2D ⋮ Lagrangian Flux Calculation Through a Fixed Planar Curve for Scalar Conservation Laws

Uses Software

• iFEM
• SADoRe

Cites Work

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• On generalized donating regions: classifying Lagrangian fluxing particles through a fixed curve in the plane
• Product Gauss cubature over polygons based on Green's integration formula
• Geometric measure theory.
• A geometric heat-flow theory of Lagrangian coherent structures
• Highly accurate Lagrangian flux calculation via algebraic quadratures on spline-approximated donating regions
• On Donating Regions: Lagrangian Flux through a Fixed Curve
• On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods
• The development of chaotic advection
• Transport between Two Fluids across Their Mutual Flow Interface: The Streakline Approach
• Lagrangian Transport Through Surfaces in Volume-Preserving Flows

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