Simulating thin film flow using the shallow water equations and smoothed particle hydrodynamics

DOI10.1016/j.cma.2019.112639zbMath1441.76021OpenAlexW2977878512WikidataQ127194248 ScholiaQ127194248MaRDI QIDQ1989107

Michael Schreiner, Simon Härdi, Uwe Janoske

Publication date: 24 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2019.112639

zbMATH Keywords

shallow water equationssurface tensionthin filmsmoothed particle hydrodynamicsrivulet flowcontact angle force

Mathematics Subject Classification ID

Thin fluid films (76A20) Particle methods and lattice-gas methods (76M28)

Related Items (4)

Derivation via Hamilton's principle of a new shallow-water model using a color function for the macroscopic description of partial wetting phenomena ⋮ On a new algorithm for incorporating the contact angle forces in a simulation using the shallow water equation and smoothed particle hydrodynamics ⋮ Modeling glass cooling mechanism with down-flowing water film via the smoothed particle hydrodynamics ⋮ A discrete droplet method for modelling thin film flows

Uses Software

• SPHysics

Cites Work

• Surface tension and wetting effects with smoothed particle hydrodynamics
• A numerical method for capillarity-dominant free surface flows
• The stability and flow of a rivulet driven by interfacial shear and gravity
• Smoothed particle hydrodynamics (SPH): an overview and recent developments
• Meshless methods: An overview and recent developments
• Enhancing smoothed particle hydrodynamics for shallow water equations on small scales by using the finite particle method
• Criteria for the break-up of thin liquid layers flowing isothermally over solid surfaces
• Restoring particle consistency in smoothed particle hydrodynamics
• Flow and instability of thin films on a cylinder and sphere
• A high-resolution Godunov-type scheme in finite volumes for the 2D shallow-water equations
• Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes
• A stabilized SPH method for inviscid shallow water flows
• Experimental study of rivulet formation on an inclined plate by fluorescent imaging
• Nonlinear rivulet dynamics during unstable wetting flows
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

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