1995. UL= 1, where and are the liquid density and viscosity, respectively. ScienceDirect ® is a registered trademark of Elsevier B.V. ScienceDirect ® is a registered trademark of Elsevier B.V. Smoothed particle hydrodynamics modeling of viscous liquid drop without tensile instability. 1995. and The formations of viscous liquid drops, both in 2D and 3D, are tested and it clearly demonstrates that the tensile instability can be effectively removed. 2000. The inherent tensile instability in SPH is removed by using a hyperbolic-shaped kernel function which possesses non-negative second derivatives. We use cookies to distinguish you from other users and to provide you with a better experience on our websites. Narayana, K. Badari The formation, oscillation and binary collision of viscous liquid drops are tested. Matthiesen, David H. Apfel, Robert E. By continuing you agree to the use of cookies. 1996. 1993. Attention is focused here on oscillations of drops that are released from an initial static deformation. Tian, Yuren Leslie, Fred W. Accuracy is attested by demonstrating that (i) the drop volume remains virtually constant, (ii) dynamic response to small-and moderate-amplitude disturbances agrees with linear and perturbation theories, and (iii) large-amplitude oscillations compare well with the few published predictions made with the marker-and-cell method and experiments. For more information see, The dynamics of colliding and oscillating drops, Studies of the nuclear equation of state using numerical calculations of nuclear drop collisions, Three-dimensional oscillations of liquid drops, Drop oscillations in liquid–liquid systems, Materials processing in the reduced-gravity of space, The fluid mechanics of roll coating: steady flows, stability, and rheology, A numerical method for studying simple drop behavior: simple oscillation, On the time-dependent solution of the incompressible Navier–Stokes equations in two and three dimensions, The particle-in-cell method for numerical solution of problems in fluid dynamics, Relativistic fluid dynamics calculations with the particle-in-cell technique, Frontal solution program for unsymmetric matrices, A comparison of various mixed interpolation finite elements in the velocity-pressure formulation of the Navier–Stokes equations, Penalty finite element analysis of unsteady free surface flows, Oscillations of drops in zero gravity with weak viscous effects, On the smoothing property of the Crank–Nicholson scheme, The oscillations of a droplet immersed in another fluid, Quadratic resonance in the three-dimensional oscillations of inviscid drops with surface tension, Third-order resonance effects and the nonlinear stability of drop oscillations, Fluid dynamical description of relativistic nuclear collisions, Spectral methods for problems in complex geometries, Nonlinear oscillations of inviscid free drops, Normal-mode analysis for the oscillations of a viscous liquid drop in an immiscible liquid, The oscillations of a viscous liquid drop, Study of coating flow by the finite element method, Characteristics of electric-field-induced oscillations of translating liquid droplets, The effects of surfactants on drop deformation and breakup, Large-amplitude free and driven drop-shape oscillations: experimental observations, Nonlinear dynamics and break-up of charged drops, Nonlinear oscillations of inviscid drops and bubbles, The frontal method in hydrodynamics simulations, https://doi.org/10.1017/S002211209200199X, Oscillations of liquid drops: results from USML-1 experiments in Space, The deformation of a liquid drop moving normal to a plane wall, A theoretical study of the motion of a viscous drop toward a fluid interface at low Reynolds number, The influence of initial deformation on drop breakup in subcritical time-dependent flows at low Reynolds numbers, Buoyancy-driven motion of a deformable drop through a quiescent liquid at intermediate Reynolds numbers, A deformable liquid drop falling through a quiescent gas at terminal velocity, Breakup of concentric double emulsion droplets in linear flows, Buoyancy-driven interactions between two deformable viscous drops, The effect of surfactants on drop deformation