Flow simulations with multi-particle collision dynamics

Angelis, E. De; Chinappi, Mauro; Graziani, G.

doi:10.1007/s11012-012-9576-8

Cited by 5 publications

(9 citation statements)

References 26 publications

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“…This benchmark problem considers the flow induced by an infinite flat plate, harmonically oscillating in its plane. Previous studies showed that the MPC method is able to simulate the resulting flow for Newtonian fluids [41]. Here, we determine the time-periodic flow profile for ferrofluids and find very good agreement with the prediction for a Newtonian fluid with the corresponding effective, field-dependent viscosity.…”

Section: Introductionsupporting

confidence: 66%

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Ilg

2022

Phys. Rev. E

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Ferrofluid flow is fascinating since their fluid properties can conveniently be manipulated by external magnetic fields. Novel applications in micro-and nanofluidics as well as in biomedicine have renewed the interest in the flow of colloidal magnetic nanoparticles with a focus on small-scale behavior. Traditional flow simulations of ferrofluids, however, often use simplified constitutive models and do not include fluctuations that are relevant at small scales. Here, we address these challenges by proposing a hybrid scheme that combines the multi-particle collision dynamics method for modelling hydrodynamics with Brownian Dynamics simulations of a reliable kinetic model describing the microstructure, magnetization dynamics and resulting stresses. Since both, multi-particle collision dynamics and Brownian Dynamics are mesoscopic methods that naturally include fluctuations, this hybrid scheme presents a promising alternative to more traditional approaches, also because of the flexibility to model different geometries and modifying the constitutive model. The scheme was tested in several ways. Poiseuille flow was simulated for various model parameters and effective viscosities were determined from the resulting flow profiles. The effective, field-dependent viscosities are found to be in very good agreement with theoretical predictions. We also study Stokes' second flow problem for ferrofluids. For weak amplitudes and low frequencies of the oscillating plate, we find that the velocity profiles are well described by the result for Newtonian fluids at the corresponding, field-dependent viscosity. Furthermore, the time-dependent profiles of the nonequilibrum magnetization component are well approximated by their steady-state values in stationary shear, when evaluated with the instantaneous local shear rate. Finally, we also apply the new scheme to simulate ferrofluid shear flow over rough surface. We find characteristic differences in the nonequilibrium magnetization components when the external field is oriented in flow and in gradient direction.

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Section: Introductionsupporting

confidence: 66%

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Ilg

2022

Phys. Rev. E

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“…An example is the multiparticle collision dynamics (MPCD). This method, originally used for systems that include thermal fluctuations, may be used for standard hydrodynamics as well (Angelis et al 2012). Recently, MPCD was used in hydrodynamical applications, see, e.g.…”

Section: Introductionmentioning

confidence: 99%

Sediment–Water Interface Flow with the Multiparticle Collision Dynamics

Matyka

2017

Transp Porous Med

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Multiparticle collision dynamics is a relatively new algorithm of fluid flow simulations that has been applied mostly to flows around simple objects. One might ask how it behaves in more complex flows. We extend the basic algorithm to handle flows in porous media. For this, we introduce a particle-level drag force. The force hinders the flow, which results in global resistance to flow and decrease of permeability. The extended algorithm is validated in the flow through a porous channel and compared with an analytical solution. Some basic properties of the solver are investigated. Finally, we use the solver to capture solutions in the sediment-water interface flow.

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“…In MPCD, the fluid consists of point-like particles, and the Navier-Stokes equation can be derived from the local mass and momentum conservation in the overall ensemble [10]. The mass, velocity and position of the i th point-particle are m i , v i , r i , respectively.…”

Section: Mpcd Implementationmentioning

confidence: 99%

“…Moreover, MPCD can easily include thermal fluctuation and hydrodynamic interaction and be suitable to simulate the complex fluid, such as colloidal particles, polymers or electrolytes. De Angelis [10] verified that MPCD is a particle-based Navier-Stokes solver, and can be employed to simulate typical examples such as colloidal suspensions and polymer solutions. Nowadays, MPCD is extensively employed in many fields, such as soft matter [11,12], biological systems [13,14], colloidal suspensions [8,15,16] and so on.…”

Section: Introductionmentioning

confidence: 99%

Preference Parameters for the Calculation of Thermal Conductivity by Multiparticle Collision Dynamics

Wang

Zhang

et al. 2021

Entropy

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Calculation of the thermal conductivity of nanofluids by molecular dynamics (MD) is very common. Regrettably, general MD can only be employed to simulate small systems due to the huge computation workload. Instead, the computation workload can be considerably reduced due to the coarse-grained fluid when multiparticle collision dynamics (MPCD) is employed. Hence, such a method can be utilized to simulate a larger system. However, the selection of relevant parameters of MPCD noticeably influences the calculation results. To this end, parameterization investigations for various bin sizes, number densities, time-steps, rotation angles and temperatures are carried out, and the influence of these parameters on the calculation of thermal conductivity are analyzed. Finally, the calculations of thermal conductivity for liquid argon, water and Cu-water nanofluid are performed, and the errors compared to the theoretical values are 3.4%, 1.5% and 1.2%, respectively. This proves that the method proposed in the present work for calculating the thermal conductivity of nanofluids is applicable.

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Flow simulations with multi-particle collision dynamics

Cited by 5 publications

References 26 publications

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Simulating the flow of interacting ferrofluids with multiparticle collision dynamics

Sediment–Water Interface Flow with the Multiparticle Collision Dynamics

Preference Parameters for the Calculation of Thermal Conductivity by Multiparticle Collision Dynamics

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