Improvements in highly viscous fluid simulation using a fully implicit SPH method

Morikawa, Daniel S.; Asai, Mitsuteru; Idris, Nur Ain; Imoto, Yusuke; Isshiki, Minoru

doi:10.1007/s40571-019-00231-6

Cited by 21 publications

(5 citation statements)

References 22 publications

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“…Furthermore, while the SPH method has been applied to disaster simulation, the treatment of boundaries, including curved surfaces such as seabed, is an issue to improve the accuracy. FWGPs(Fixed Wall Ghost Particles) [6] is one of the most common ways to approach wall boundaries. However, this method is characterized by arranging wall particles in a grid-like fashion, which leads to the formation of steps when representing curved or sloped surfaces.…”

Section: Introductionmentioning

confidence: 99%

Bottom Boundary-Fitted Free Surface Flow Simulation with Coordinate Transformation Using SPH(2)

Fujioka,

Mitsune,

Tsuji

et al. 2023

VIII International Conference on Particle-Based Methods

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Particle methods such as the SPH and MPS methods have problems because it is difficult to treat curved bottom surfaces such as seabed surfaces accurately. In this study, regarding this problem, the curved bottom surfaces' treatments have been improved using a coordinate transformation using the high-order second derivative model called SPH(2). Although the theory for the coordinate transformation was established in the MPS method, its accuracy did not give the desired accuracy because of the numerical errors of the second derivative models. Therefore, the numerical errors in these coordinate transformations were overcome by applying the second derivative model of SPH(2) to the coordinate transformation formulas. The superiority and validity of the proposed coordinate transformation using SPH(2) are demonstrated through validation examples such as the hydrostatic pressure and dam-break problems.

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Section: Introductionmentioning

confidence: 99%

Bottom Boundary-Fitted Free Surface Flow Simulation with Coordinate Transformation Using SPH(2)

Fujioka,

Mitsune,

Tsuji

et al. 2023

VIII International Conference on Particle-Based Methods

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“…Thus, the solid-and fluid-like behaviors of a Bingham fluid can be expressed by the change in viscosity, i.e., the fluid does not deform due to higher viscosity at a lower strain rate (resembling a solid), while the fluid flows due to moderate viscosity at a higher strain rate. Since the continuum approach is easy to implement into existing solvers and its computational cost is low, the SPH and MPS methods have been applied with the continuum approach to a wide variety of problems: Couette flows (Zhou et al, 2010), Taylor-Couette flows , Poiseuille flows (Ren et al, 2012;Ikari et al, 2012;Xenakis et al, 2015;Ren et al, 2016;Tao et al, 2017;Morikawa et al, 2019), flows around a cylinder (Rossi et al, 2022), dam-break flows (Xenakis et al, 2015;Morikawa et al, 2019;Xu and Jin, 2016;Xie and Jin, 2016;Negishi et al, 2019;Abdolahzadeh et al, 2019), column-collapse flows (Xu and Jin, 2016;Minatti and Paris, 2015), L-box flows (Cao and Li, 2017;, granular flow down an inclined plane (Minatti and Paris, 2015), impacting droplet (Xu et al, 2013), injection molding (Xu et al, 2013), jet buckling (Ren et al, 2016;Morikawa et al, 2019;Xu et al, 2013;de Souza Andrade et al, 2015), filling process in circular molds (Ren et al, 2012;Xenakis et al, 2015), filling process in a ring-shaped channel (Ren et al, 2012), two-dimensional flows in a two-dimensional cylinder and vane rheometers (Zhu et al, 2010), mixing process in mixers (Abdolahzadeh et al, 2019), splashing phenomena (Tao et al, 2017), landslideinduced tsunami (Ikari et al, 2012), and snow avalanches (Sa...…”

Section: Introductionmentioning

confidence: 99%

“…When the viscosity term is calculated explicitly for high-viscous flows, where the viscous forces are dominant, the time step size needs to be set small enough to meet the stability condition of the viscosity term (Duan and Chen, 2013), which results in unfavorably high computational costs. To overcome this issue, the implicit velocity calculation was adopted to cope with the high viscosity in some of the previous studies with the SPH (Morikawa et al, 2019;Takahashi et al, 2015;Zago et al, 2018;Weiler et al, 2018) and with the MPS method Negishi et al, 2019;Xu et al, 2022). In addition to the high viscosity treatment, the linear and angular momentum conservation is also important for calculating the solid-like behavior in Bingham fluid.…”

Section: Introductionmentioning

confidence: 99%

Bingham fluid simulations using a physically consistent particle method

NEGISHI,

KONDO,

AMAKAWA

et al. 2023

JFST

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The Bingham fluid simulation model was constructed and validated using a physically consistent particle method, i.e., the Moving Particle Hydrodynamics (MPH) method. When a discrete particle system satisfies the fundamental laws of physics, the method is asserted as physically consistent. Since Bingham fluids sometimes show solid-like behaviors, linear and angular momentum conservation is especially important. These features are naturally satisfied in the MPH method. To model the Bingham feature, the viscosity of the fluid was varied to express the stress-strain rate relation. Since the solid-like part, where the stress does not exceed the yield stress, was modeled with very large viscosity, the implicit velocity calculation was introduced so as to avoid the restriction of the time step width with respect to the diffusion number. As a result, the present model could express the stopping and solid-like behaviors, which are characteristics of Bingham fluids. The proposed method was verified and validated, and its capability was demonstrated through calculations of the two-dimensional Poiseuille flow of a Bingham plastic fluid and the three-dimensional dam-break flow of a Bingham pseudoplastic fluid by comparing those computed results to theory and experiment.

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“…After that, SPH is widely used on solving fluid-related physical problems via computational fluid dynamics (CFD). Some examples of problem solved by an SPH method are ice melting problem [5], fluid natural convection problem [6], fluid with high viscosity [7], and ocean wave simulation [8], [9].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Force Ratio Multiplier on A Control System for Surfing Problem Simulation

Septiawan

Virgono

Ahmad

et al. 2022

JIIKM

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A surfing problem is a control problem of the surfing board to maintain its position on top of an ocean wave as long as possible. There are some physical and mathematical problems regarding a surfing problem that have not yet been solved. One of them is on translating a target inclination problem from an ordinary differential equation (ODE) control system to the inclination control system via the distribution of a surfer’s weight. To move the surfing board swiftly, a correct value of the multiplier, which is notated by σ, is needed on the weight distribution system. In this work, an investigation has been done on the effect of the multiplier in an attempt to help moves the surfing board fulfils the target inclination angle needed by using a smoothed particle hydrodynamics (SPH) simulation. The result from this work shows that the best value for the multiplier is σ=10 that gives the smallest average positional error for some variations of a given target position. This work gives a contribution on an attempt to model a surfer’s phenomenon mathematically.

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Improvements in highly viscous fluid simulation using a fully implicit SPH method

Cited by 21 publications

References 22 publications

Bottom Boundary-Fitted Free Surface Flow Simulation with Coordinate Transformation Using SPH(2)

Bottom Boundary-Fitted Free Surface Flow Simulation with Coordinate Transformation Using SPH(2)

Bingham fluid simulations using a physically consistent particle method

The Effect of Force Ratio Multiplier on A Control System for Surfing Problem Simulation

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