Numerical methods for the simulation of a coalescence-driven droplet size distribution

被引：15

作者：

Bordas, Robert ^{[1
]}

John, Volker ^{[2
,3
]}

Schmeyer, Ellen ^{[2
]}

Thevenin, Dominique ^{[1
]}

机构：

[1] Univ Magdeburg, LSS ISUT, D-39106 Magdeburg, Germany

[2] Leibniz Inst Forsch Sverbund Berlin eV WIAS, Weierstrass Inst Appl Anal & Stochast, D-10117 Berlin, Germany

[3] Free Univ Berlin, Dept Math & Comp Sci, D-14195 Berlin, Germany

来源：

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS | 2013年 / 27卷 / 3-4期

关键词：

VARIATIONAL MULTISCALE METHOD; NAVIER-STOKES EQUATIONS; FINITE-ELEMENT METHODS; CONVECTION-DIFFUSION EQUATIONS; POPULATION BALANCE SYSTEMS; QUADRATURE METHOD; BENCHMARK PROBLEM; CLOUD DROPLETS; TURBULENT-FLOW; MOMENTS;

D O I：

10.1007/s00162-012-0275-9

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

The droplet size distribution in a turbulent flow field is considered and modeled by means of a population balance system. This paper studies different numerical methods for the 4D population balance equation and their impact on an output of interest, the time-space-averaged droplet size distribution at the outlet, which is known from experiments. These methods include different interpolations of the experimental data at the inlet, various discretizations in time and space, and different schemes for computing the coalescence integrals. It will be shown that noticeable changes in the output of interest might occur. In addition, the computational efficiency of the studied methods is discussed.

引用

页码：253 / 271

页数：19

共 56 条

[11] Convolution of hp-functions on locally refined grids [J].

Hackbusch, W. .

IMA JOURNAL OF NUMERICAL ANALYSIS, 2009, 29 (04) :960-985

[12] Approximation of coalescence integrals in population balance models with local mass conservation [J].

Hackbusch, Wolfgang .

NUMERISCHE MATHEMATIK, 2007, 106 (04) :627-657

[13] A numerical method for the simulation of an aggregation-driven population balance system [J].

Hackbusch, Wolfgang ;

John, Volker ;

Khachatryan, Aram ;

Suciu, Carina .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2012, 69 (10) :1646-1660

[14]

HALL WD, 1980, J ATMOS SCI, V37, P2486, DOI 10.1175/1520-0469(1980)037<2486:ADMMWA>2.0.CO

[15]

[16] SOME PROBLEMS IN PARTICLE TECHNOLOGY - A STATISTICAL MECHANICAL FORMULATION [J].

HULBURT, HM ;

KATZ, S .

CHEMICAL ENGINEERING SCIENCE, 1964, 19 (08) :555-574

[17] Techniques for the reconstruction of a distribution from a finite number of its moments [J].

John, V. ;

Angelov, I. ;

Oencuel, A. A. ;

Thevenin, D. .

CHEMICAL ENGINEERING SCIENCE, 2007, 62 (11) :2890-2904

[18] MooNMD - A program package based on mapped finite element methods [J].

John, Volker ;

Matthies, Gunar .

Computing and Visualization in Science, 2004, 6 (2-3) :163-170

[19] A finite element variational multiscale method for the Navier-Stokes equations [J].

John, V ;

Kaya, S .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2005, 26 (05) :1485-1503

[20] Higher order finite element methods and multigrid solvers in a benchmark problem for the 3D Navier-Stokes equations [J].

John, V .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2002, 40 (06) :775-798

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