New finite volume approach for multidimensional Smoluchowski equation on nonuniform grids

2021 ◽  
Author(s):  
Mehakpreet Singh
Keyword(s):  
Finite Volume ◽  
Smoluchowski Equation ◽  
Nonuniform Grids ◽  
Finite Volume Approach

scholarly journals Finite volume approach for fragmentation equation and its mathematical analysis

2021 ◽  
Author(s):  
Mehakpreet Singh ◽  
Gavin Walker
Keyword(s):  
Finite Volume ◽  
Mathematical Analysis ◽  
Total Mass ◽  
Finite Volume Scheme ◽  
Nonuniform Grids ◽  
Numerical Testing ◽  
Finite Volume Approach ◽  
Fragmentation Equation ◽  
Fragmentation Kernel ◽  
Number Of Particles

AbstractThis work is focused on developing a finite volume scheme for approximating a fragmentation equation. The mathematical analysis is discussed in detail by examining thoroughly the consistency and convergence of the numerical scheme. The idea of the proposed scheme is based on conserving the total mass and preserving the total number of particles in the system. The proposed scheme is free from the trait that the particles are concentrated at the representative of the cells. The verification of the scheme is done against the analytical solutions for several combinations of standard fragmentation kernel and selection functions. The numerical testing shows that the proposed scheme is highly accurate in predicting the number distribution function and various moments. The scheme has the tendency to capture the higher order moments even though no measure has been taken for their accuracy. It is also shown that the scheme is second-order convergent on both uniform and nonuniform grids. Experimental order of convergence is used to validate the theoretical observations of convergence.

scholarly journals A finite volume approach to compressible Large Eddy Simulations

1993 ◽  
Vol 51 (1-2) ◽  
pp. 325-329
Author(s):  
B. J. Geurts ◽  
J. G. M. Kuerten ◽  
A. W. Vreman ◽  
V. Theofilis ◽  
P. J. Zandbergen
Keyword(s):  
Finite Volume ◽  
Large Eddy Simulations ◽  
Large Eddy ◽  
Finite Volume Approach

Moisture Diffusion in Unsaturated Polyester Composites Reinforced with Macambira Natural Fiber: A Finite-Volume Approach

2015 ◽  
Vol 3 ◽  
pp. 89-101
Author(s):  
V.C. de Almeida Cruz ◽  
J.M.P.Q. Delgado ◽  
A.G. Barbosa de Lima ◽  
M.M. Silva Nóbrega ◽  
L.H. de Carvalho ◽  
...  
Keyword(s):  
Water Absorption ◽  
Polymer Composites ◽  
Finite Volume ◽  
Natural Fiber ◽  
Diffusion Theory ◽  
Unsaturated Polyester ◽  
Moisture Diffusion ◽  
Moisture Distribution ◽  
Vegetable Fibers ◽  
Finite Volume Approach

This paper presents a theoretical and experimental study about water absorption in unsaturated polyester polymer composites reinforced with vegetable fibers, with particular reference to macambira fiber. A mathematical modeling based on the liquid diffusion theory has been proposed and numerical procedures using the finite volume technique are presented and discussed. Results of the water absorption kinetic and moisture content distribution for the polymer composites are shown and analyzed. The knowledge of moisture distribution inside the composite is essential for determination of areas that may show delamination problems (moisture induced degradation) due to the weakness of the fiber-matrix interface and consequently reduction in the mechanical properties of the composites.

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