A study of transient flows with interfaces using numerical solution of Navier-Stokes equations

DOI10.1134/S0015462820030015zbMath1475.76100MaRDI QIDQ2238184

Andrey I. Aleksyuk, Victor Ya. Shkadov

Publication date: 29 October 2021

Published in: Fluid Dynamics (Search for Journal in Brave)

zbMATH Keywords

Navier-Stokes equationsfinite element methodtwo-phase flowlevel set methodfilm flowRayleigh-Taylor instabilitytwo-dimensional bubble

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Thin fluid films (76A20) Finite element methods applied to problems in fluid mechanics (76M10) Interfacial stability and instability in hydrodynamic stability (76E17) Basic methods in fluid mechanics (76M99) Liquid-liquid two component flows (76T06)

Cites Work

• Stable generalized finite element method (SGFEM)
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• A new finite element formulation for computational fluid dynamics. VIII. The Galerkin/least-squares method for advective-diffusive equations
• Falling liquid films.
• An Hamiltonian interface SPH formulation for multi-fluid and free surface flows
• Analysis of three-dimensional transition mechanisms in the near wake behind a circular cylinder
• Limiting wave regimes during the spatial and time development of disturbances in falling liquid films
• The extended/generalized finite element method: An overview of the method and its applications
• Quantitative benchmark computations of two-dimensional bubble dynamics
• The evolution and subsequent dynamics of waves on a vertically falling liquid film
• The intrinsic XFEM for two-fluid flows
• A finite element method for crack growth without remeshing
• Level set methods: An overview and some recent results

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