A time-adaptive space-time finite element method for incompressible Lagrangian flows with free surfaces: Computational issues

DOI10.1016/S0045-7825(99)00425-9zbMath0995.76046OpenAlexW2023210201MaRDI QIDQ1595080

R. Smith

Publication date: 21 October 2002

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00425-9

zbMATH Keywords

linear systemnonlinear systemincompressible Navier-Stokes equationsfree surfacesLagrangian formulationspace-time finite element methodNewton-Raphson approacherror indicatoradaptive time-stepping schemespace-time Galerkin/least-squares methodvolume loss rate

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (11)

A computational framework for free surface fluid flows accounting for surface tension ⋮ Numerical modeling and experimental validation of free surface flow problems ⋮ Adaptive time-step with anisotropic meshing for incompressible flows ⋮ Simulation of wave-structure interaction by hybrid Cartesian/immersed boundary and arbitrary Lagrangian-Eulerian finite-element method ⋮ Treatment of fast moving loads in elastodynamic problems with a space-time variational formulation ⋮ Adaptive higher-order finite element methods for transient PDE problems based on embedded higher-order implicit Runge-Kutta methods ⋮ Frictional contact solver and mesh adaptation in space--time finite element method ⋮ Modeling of wetting-drying transitions in free surface flows over complex topographies ⋮ An explicit-implicit finite element model for the numerical solution of incompressible Navier-Stokes equations on moving grids ⋮ Adaptive space-time finite element methods for the wave equation on unbounded domains ⋮ Anisotropic meshing with time-stepping control for unsteady convection-dominated problems

Cites Work

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