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Fully 3D fluid outflow from a spherical source

Author: Forbes Lawrence
Walters Stephen
Publication venue: Australian Mathematical Society
Publication date: 28/08/2022
Field of study

We consider fully three-dimensional time-dependent outflow from a source into a surrounding fluid of different density. The source is distributed over a sphere of finite radius. The nonlinear problem is formulated using a spectral approach in which two streamfunctions and the density are represented as a Fourier-type series with time-dependent coefficients that must be calculated. Linearized theories are also discussed and an approximate stability condition for early stages in the outflow is derived. Nonlinear solutions are presented and different outflow shapes adopted by the fluid interface are investigated. doi: 10.1017/S1446181122000098

Connectivity aware simulated annealing kernel methods for coke microstructure generation

Author: Bissaker Edward
Lamichhane Bishnu
Jenkins David
Publication venue: Australian Mathematical Society
Publication date: 28/07/2022
Field of study

A vital input for steel manufacture is a coal-derived solid fuel called coke. Digital reconstructions and simulations of coke are valuable tools to analyse and test coke properties. We implement biased voxel iteration into a simulated annealing method via a kernel convolution to reduce the number of iterations required to generate a digital coke microstructure. We demonstrate that voxel connectivity assumptions impact the number of iterations and reduce the normalised computation time required to generate a digital microstructure by as much as 70%. References L. De Floriani, U. Fugacci, and F. Iuricich. Homological shape analysis through discrete morse theory. Perspectives in Shape Analysis. Ed. by M. Breuss, A. Bruckstein, P. Maragos, and S. Wuhrer. Springer, 2016, pp. 187–209. doi: 10.1007/978-3-319-24726-7_9 M. A. Diez, R. Alvarez, and C. Barriocanal. Coal for metallurgical coke production: predictions of coke quality and future requirements for cokemaking. Int. J. Coal Geol. 50.1–4 (2002), pp. 389–412. doi: 10.1016/S0166-5162(02)00123-4 D. T. Fullwood, S. R. Kalidindi, S. R. Niezgoda, A. Fast, and N. Hampson. Gradient-based microstructure reconstructions from distributions using fast Fourier transforms. Mat. Sci. Eng. A 494.1–2 (2008), pp. 68–72. doi: 10.1016/j.msea.2007.10.087 E.-Y. Guo, N. Chawla, T. Jing, S. Torquato, and Y. Jiao. Accurate modeling and reconstruction of three-dimensional percolating filamentary microstructures from two-dimensional micrographs via dilation-erosion method. Mat. Character. 89 (2014), pp. 33–42. doi: 10.1016/j.matchar.2013.12.011 Y. Jiao, F. H. Stillinger, and S. Torquato. Modeling heterogeneous materials via two-point correlation functions: Basic principles. Phys. Rev. E 76.3, 031110 (2007). doi: 10.1103/PhysRevE.76.031110 H. Kumar, C. L. Briant, and W. A. Curtin. Using microstructure reconstruction to model mechanical behavior in complex microstructures. Mech. Mat. 38.8–10 (2006), pp. 818–832. doi: 10.1016/j.mechmat.2005.06.030 Z. Ma and S. Torquato. Generation and structural characterization of Debye random media. Phys. Rev. E 102.4, 043310 (2020). doi: 10.1103/PhysRevE.102.043310 F. Meng, S. Gupta, D. French, P. Koshy, C. Sorrell, and Y. Shen. Characterization of microstructure and strength of coke particles and their dependence on coal properties. Powder Tech. 320 (2017), pp. 249–256. doi: 10.1016/j.powtec.2017.07.046 M. G. Rozman and M. Utz. Uniqueness of reconstruction of multiphase morphologies from two-point correlation functions. Phys. Rev. Lett. 89.13, 135501 (2002). doi: 10.1103/PhysRevLett.89.135501 T. Tang, Q. Teng, X. He, and D. Luo. A pixel selection rule based on the number of different-phase neighbours for the simulated annealing reconstruction of sandstone microstructure. J. Microscopy 234.3 (2009), pp. 262–268. doi: 10.1111/j.1365-2818.2009.03173.x S. Torquato. Microstructure characterization and bulk properties of disordered two-phase media. J. Stat. Phys. 45.5 (1986), pp. 843–873. doi: 10.1007/BF01020577 S. Torquato and H. W. Haslach Jr. Random heterogeneous materials: microstructure and macroscopic properties. Appl. Mech. Rev. 55.4 (2002), B62–B63. doi: 10.1115/1.1483342 S. Torquato and C. L. Y. Yeong. Reconstructing random media.II: three-dimensional media from two-dimensional cuts. Phys. Rev. E 58.1 (1998), pp. 224–233. doi: 10.1103/PhysRevE.58.224 on p. C128). C. L. Y. Yeong and S. Torquato. Reconstructing random media. Phys. Rev. E 57.1, 495 (1998). doi: 10.1103/PhysRevE.57.49