Incompressible smoothed particle hydrodynamics modeling of thermal convection

Moballa, Burniadi; Chern, Ming‐Jyh; Odhiambo, Ernest

doi:10.12989/imm.2013.6.2.211

Cited by 3 publications

(2 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Fig. 5a, for Ra = 10 4 , the concentration profile decreases monotonically as the distance from the cylinder increases, as observed in Moballa et al [65]. For Ra = 10 5 , the concentration profile flattens between the wall and the cylinder surface, due to the formation of boundary layers in these regions, confirming the ability of the present method to correctly predict diffusion in near-wall regions.…”

Section: Resultssupporting

confidence: 86%

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

Drawert

Jacob

et al. 2019

Journal of Computational Physics

View full text Add to dashboard Cite

We have developed a new algorithm which merges discrete stochastic simulation, using the spatial stochastic simulation algorithm (sSSA), with the particle based fluid dynamics simulation framework of smoothed dissipative particle dynamics (SDPD). This hybrid algorithm enables discrete stochastic simulation of spatially resolved chemically reacting systems on a mesh-free dynamic domain with a Lagrangian frame of reference. SDPD combines two popular mesoscopic techniques: smoothed particle hydrodynamics and dissipative particle dynamics (DPD), linking the macroscopic and mesoscopic hydrodynamics effects of these two methods. We have implemented discrete stochastic simulation using the reaction-diffusion master equations (RDME) formalism, and deterministic reaction-diffusion equations based on the SDPD method. We validate the new method by comparing our results to four canonical models, and demonstrate the versatility of our method by simulating a flow containing a chemical gradient past a yeast cell in a microfluidics chamber.

show abstract

Section: Resultssupporting

confidence: 86%

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

Drawert

Jacob

et al. 2019

Journal of Computational Physics

View full text Add to dashboard Cite

show abstract

“…Extensions of SPH to fluid problems with heat transfer were first implemented by Cleary [22] and Cleary and Monaghan [23] under the Boussinesq approximation. Natural convection from a heated cylinder in a square enclosure was subsequently modeled by Moballa et al [24] using an incompressible SPH approach. Their results were in good agreement with those from previous analyses based on conventional methods.…”

Section: Introductionmentioning

confidence: 99%

SPH modeling of natural convection around a heated horizontal cylinder: A comparison with experiments

Aragón¹,

Vicente

Sigalotti³

et al. 2020

Preprint

View full text Add to dashboard Cite

g Gravitational acceleration, m s −2 . c Sound speed, m s −1 .x Position vector, m. t Time, s.x Horizontal coordinate, m. y Vertical coordinate, m. ν Kinematic viscosity, m 2 s −1 . η Shear viscosity, kg mSmoothing length, mm. ∆t Time step, s. N Total number of particles. n Number of neighboring particles. a, b Particle indices. ρ r Reference density, kg m −3 . T r Reference temperature, K. T s Cylindrical source temperature, K. T w Cell wall temperature, • C. v s Fluid velocity at the surface of the heat source, m s −1 . v w Fluid velocity at the cell walls, m s −1 . 0 Reference index.

show abstract

Smoothed Particle Hydrodynamics Modeling of Natural Convection Around a Heated Horizontal Cylinder: A Comparison With Experiments

Aragón¹,

Vicente²,

Alvarado-Rodríguez

et al. 2021

Journal of Heat Transfer

View full text Add to dashboard Cite

An experimental and numerical smoothed particle hydrodynamics (SPH) analysis was performed for the convective flow arising from a horizontal, thin cylindrical heat source enclosed in a glycerin-filled, slender enclosure at low Rayleigh numbers (1.18 ≤ Ra ≤ 242). Both the experiments and the SPH calculations were performed for positive (0.1 ≤ Δ T ≤ 10 K) and negative (-10 ≤ Δ T ≤ -0.1 K) temperature differences between the source and the surrounding fluid. In all cases a pair of steady, counter-rotating vortices is formed, accompanied by a plume of vertically ascending flow just above the source for ΔT > 0 and a vertically descending flow just below the source for Δ T<0. The maximum flow velocities always occur within the ascending/descending plumes. The SPH predictions are found to match the experimental observations acceptably well with root-mean-square errors in the velocity profiles of the order of ~ 10-5m s-1. The fact that the SPH method is able to reveal the detailed features of the flow phenomenon demonstrates the correctness of the approach.

show abstract

Incompressible smoothed particle hydrodynamics modeling of thermal convection

Cited by 3 publications

References 38 publications

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

A hybrid smoothed dissipative particle dynamics (SDPD) spatial stochastic simulation algorithm (sSSA) for advection–diffusion–reaction problems

SPH modeling of natural convection around a heated horizontal cylinder: A comparison with experiments

Smoothed Particle Hydrodynamics Modeling of Natural Convection Around a Heated Horizontal Cylinder: A Comparison With Experiments

Contact Info

Product

Resources

About