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| | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step. | | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step. |
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| | + | Credits: [http://www.dual.sphysics.org DualSPHysics] |
| | ! {{#ev:youtube|rAUqGTGb57k}} | | ! {{#ev:youtube|rAUqGTGb57k}} |
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| − | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step. | + | ! style="width:500px" | In this model two fluids with spherical and square configurations are given initial velocities. As they collide with the square surface in the center they interact within a boxed boundary. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step. |
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| | + | Credits: [http://www.dual.sphysics.org DualSPHysics] |
| | ! {{#ev:youtube|n7KEnqLg1NE}} | | ! {{#ev:youtube|n7KEnqLg1NE}} |
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| − | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step. | + | ! style="width:500px" | In this model an oscillating piston creates wave within a fluid. The color of each fluid particle corresponds to its ID number, thereby illustrating the effect of mixing throughout the simulation. |
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| | + | Credits: [http://www.dual.sphysics.org DualSPHysics] |
| | ! {{#ev:youtube|BiHVYMhOg-M}} | | ! {{#ev:youtube|BiHVYMhOg-M}} |
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| − | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step.
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| − | ! {{#ev:youtube|rAUqGTGb57k}}
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| − | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step.
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| − | ! {{#ev:youtube|rAUqGTGb57k}}
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| − | ! style="width:500px" | In this model a fluid is initially held in a block configuration. At the first time step the fluid is allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular block and interacts with the boundary walls. The color of each fluid particle corresponds to its velocity magnitude (m/s) at each time step.
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| − | ! {{#ev:youtube|rAUqGTGb57k}}
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| − | {{#ev:youtube|B9TRacHKikE}}
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| − | {{#ev:youtube|r6vm1F5vpmM}}
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| − | [[SPH Supporting Animations|Supporting Animations]]
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| − | Animations from SPH on front page Periodic Boundary Conditions
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| − | Click on video and takes to Smoothed Particle Hydrodynamics page
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| − | Link from Current Research section> Smoothed Particle Hydrodynamics
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| − | Periodic Boundary Condition Simulations
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| − | In this model a fluid is initially held in a square configuration along a sloped ramp with
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| − | open boundaries on both sides. At the the first time step the fluid is allow to flow outward due to
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| − | the force of gravity and begins to flow down the ramp. Once the fluid particles meet the boundary
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| − | edge on the right they cross over to the left side of the ramp. During the first few time steps the
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| − | fluid quickly moves to fill the void on the upper left hand side and crashes with slower moving
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| − | particles creating a significant splashing effect and the formation of a standing wave. Throughout
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| − | the simulation this standing wave begins to die out as the flow approaches a state of equilibrium.
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| − | Title: Exploring the method of smoothed particle hydrodynamics (SPH) and its application to
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| − | icebergcapsize dynamics
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| − | Lynn Kaluzienski, 9/20/2015, University of Maine
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| − | Analytical solutions for problems in fluid dynamics are unavailable for most real world
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| − | flows. The method of Smoothed Particle Hydrodynamics (SPH) was initially developed for
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| − | astrophysical problems and has since been used to formulate approximate solutions for equations
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| − | in fluid dynamics, chiefly the Navier Stokes solution for a weakly compressible fluid. SPH takes
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| − | the innovative approach of replacing a fluid with an array of particles and solving the Navier
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| − | Stokes equation on a particle by particle basis. A smoothing function is applied to each individual
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| − | particle to determine the influence of its neighbors within a certain radius giving more weight to
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| − | nearby particles. SPH is naturally a meshfree Lagrangian method, providing several benefits over
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| − | former gridbased techniques in capturing surface accelerations and removing the need of tracking
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| − | fluid boundaries. One difficulty with the SPH method is the need for a large quantity of particles to
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| − | achieve the same precision as a gridbased approach. However, recent improvements in
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| − | computational power such as the widespread use of graphic processing units (GPUs) have made
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| − | SPH implementation feasible and computationally inexpensive. Several open source codes, such as
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| − | DualSPHysics, make high resolution SPH simulations easily achievable on computers with
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| − | multiple GPU processing units. Depending on complexity, several hundred thousand particle
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| − | simulations can be achieved on the order of minutes to hours on a desktop computer. Largerscale
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| − | models with millions to even billions of particles can be efficiently computed on supercomputers.
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| − | The University of Maine SECS Numerical Laboratory currently has SPH simulations running on
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| − | multiple GPUs. In addition, our collaboration with the Advanced Computing Group at Umaine will
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| − | allow us to run increasingly complex and higher resolution simulations on one of their
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| − | supercomputers in the near future.
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| − | Supporting Literature: Crespo et al 2015, Monaghan 2012
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| − | Link> Supporting Animations
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| − | Each of these representations was exported from Paraview, a powerful visualization tool that stores
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| − | all output parameters (pressure, density, velocity, acceleration, vorticity, ID number) for each
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| − | particle at every time step.
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| − | Dambreak Simulation
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| − | In this model a fluid is initially held in a block configuration. At the first time step the fluid is
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| − | allowed to flow out due to the force of gravity. As if flows outward it crashes into a rectangular
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| − | block and interacts with the boundary walls. The color of each fluid particle corresponds to its
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| − | velocity magnitude (m/s) at each time step.
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| − | Initial Velocity Simulation
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| − | In this model two fluids with spherical and square configurations are given initial velocities. As
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| − | they collide with the square surface in the center they interact within a boxed boundary. The color
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| − | of each fluid particle corresponds to its velocity magnitude (m/s) at each time step.
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| − | WaveMaker Simulation
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| − | In this model an oscillating piston creates wave within a fluid. The color of each fluid particle
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| − | corresponds to its ID number, thereby illustrating the effect of mixing throughout the simulation.
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| − | Link> Introductory SPH Icebergcapsize Simulations
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| − | Wave Tank Experiment Simulation
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| − | In this model an oscillation piston creates waves within a 250 cm x 50 cm x 50 cm tank. A solid
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| − | block of 900 kg/m^3 density floats on one side of the tank and capsizes under the influence of the
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| − | standing waves.The color of each fluid particle corresponds to its velocity magnitude (m/s) at each
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| − | Iceberg Closeup
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| − | In this view the motion of the particles at the boundary of the model iceberg are shown. The color
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| − | of each solid particle corresponds to its acceleration magnitude (m/s^2) at each time step.
| + | '''[[Introductory SPH Iceberg-capsize Simulations]]''' |
