Numerical Considerations in Simulating a Turbulent Suspension of Finite-Volume Particles

Sundaram, S.; Collins, Lance R.

doi:10.1006/jcph.1996.0064

Cited by 139 publications

(110 citation statements)

References 28 publications

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“…The algorithm is similar to one documented in earlier work (Sundaram and Collins 1996;Sundaram and Collins 1997;Ulitsky and Collins 1997). The equations in Fourier space are…”

Section: Velocity Field and Pressurementioning

confidence: 98%

Effect of Mixing on the Nucleation and Growth of Titania Particles

Moody

Collins

2003

Aerosol Science and Technology

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Aerosol processes that produce titania particles by reacting gaseous precursors (such as titanium tetrachloride) initially must mix the precursor into the oxidizer at elevated temperatures to initiate the formation of product. Oftentimes the rate of reaction is sufficiently large as to be mixing limited. Thus the rate of mixing of the reacting species will control the chemistry and morphological properties of the particles that are produced. The interplay between mixing, nucleation, and growth in these systems is difficult to observe experimentally due to the small time scales that are involved and the spatial limitations of most diagnostics. An alternative approach is direct numerical simulation (DNS). DNS refers to a class of numerical solutions of the three-dimensional timedependent governing equations for a particular system in which no turbulence modeling assumptions are made. To within the precision of the numerical algorithm, DNS can be thought of as a numerical experiment.Here we apply DNS to the mixing, reaction, nucleation, and growth of titania particles formed from the reaction of titanium tetrachloride with oxygen. The simulation solves for the velocity, species concentration, and eight moments of the particle size distribution using a combination of a pseudospectral method (for the velocity) and a compact finite difference scheme (for all of the scalars). The results show that increasing the rate of mixing increases the rate of particle formation while decreasing the variance in the particle size distribution. However, for a given extent of reaction, poorer mixing leads to larger mean particle sizes and larger standard deviations. The results are most easily interpreted in terms of the reaction volume between the unmixed reactants, where most of the reaction occurs. Based on this analysis, we present rules of thumb for controlling the particle size distribution in aerosol reactors.

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“…The algorithm is similar to one documented in earlier work (Sundaram and Collins 1996;Sundaram and Collins 1997;Ulitsky and Collins 1997). The equations in Fourier space are…”

Section: Velocity Field and Pressurementioning

confidence: 98%

Effect of Mixing on the Nucleation and Growth of Titania Particles

Moody

Collins

2003

Aerosol Science and Technology

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“…To detect particle collisions we perform a neighborhood search-similar to the method described by Sundaram & Collins (1996)-at each time step. For every particle pair within a small distance of one another the trajectories between the current and the precedent time step are interpolated by a cubic polynomial and it is checked if the distance between the particles' centers falls below 2a anywhere along these trajectories.…”

Section: Collision Detectionmentioning

confidence: 99%

Estimating the Collision Rate of Inertial Particles in a Turbulent Flow: Limitations of the "Ghost Collision" Approximation

Voßkuhle

Pumir²,

Lévêque³

2011

J. Phys.: Conf. Ser.

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“…Solving (1) has wide application and has been studied by people in diverse fields, including molecular dynamics [1][2][3][4], granular flow [5,6], and more recently in fluid suspensions [7][8][9]. It has also been studied by computer scientists, both in its own right in robotics and computational geometry [10,11], and as a benchmark for parallel discrete event simulations [12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Algorithms for Particle-Field Simulations with Collisions

Sigurgeirsson¹,

Stuart

Wan

2001

Journal of Computational Physics

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We develop an efficient algorithm for detecting collisions among a large number of particles moving in a velocity field, when the field itself is possibly coupled to the particle motions. We build on ideas from molecular dynamics simulations and, as a byproduct, give a literature survey of methods for hard sphere molecular dynamics. We analyze the complexity of the algorithm in detail and present several experimental results on performance which corroborate the analysis. An optimal algorithm for collision detection has cost scaling at least like the total number of collisions detected. We argue, both theoretically and experimentally, that with the appropriate parameter choice and when the number of collisions grows with the number of particles at least as fast as for billiards, the algorithm we recommend is optimal.

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Numerical Considerations in Simulating a Turbulent Suspension of Finite-Volume Particles

Cited by 139 publications

References 28 publications

Effect of Mixing on the Nucleation and Growth of Titania Particles

Effect of Mixing on the Nucleation and Growth of Titania Particles

Estimating the Collision Rate of Inertial Particles in a Turbulent Flow: Limitations of the "Ghost Collision" Approximation

Algorithms for Particle-Field Simulations with Collisions

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