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Your search keyword '"Saha, Jitraj"' showing total 36 results
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36 results on '"Saha, Jitraj"'

8. Existence and Uniqueness of Mass Conserving Solutions to the Coagulation, Multi-fragmentation Equations with Compactly Supported Kernels

Author

Das, Arijit, Saha, Jitraj, Angrisani, Leopoldo, Series Editor, Arteaga, Marco, Series Editor, Panigrahi, Bijaya Ketan, Series Editor, Chakraborty, Samarjit, Series Editor, Chen, Jiming, Series Editor, Chen, Shanben, Series Editor, Chen, Tan Kay, Series Editor, Dillmann, Rüdiger, Series Editor, Duan, Haibin, Series Editor, Ferrari, Gianluigi, Series Editor, Ferre, Manuel, Series Editor, Hirche, Sandra, Series Editor, Jabbari, Faryar, Series Editor, Jia, Limin, Series Editor, Kacprzyk, Janusz, Series Editor, Khamis, Alaa, Series Editor, Kroeger, Torsten, Series Editor, Li, Yong, Series Editor, Liang, Qilian, Series Editor, Martín, Ferran, Series Editor, Ming, Tan Cher, Series Editor, Minker, Wolfgang, Series Editor, Misra, Pradeep, Series Editor, Möller, Sebastian, Series Editor, Mukhopadhyay, Subhas, Series Editor, Ning, Cun-Zheng, Series Editor, Nishida, Toyoaki, Series Editor, Oneto, Luca, Series Editor, Pascucci, Federica, Series Editor, Qin, Yong, Series Editor, Seng, Gan Woon, Series Editor, Speidel, Joachim, Series Editor, Veiga, Germano, Series Editor, Wu, Haitao, Series Editor, Zamboni, Walter, Series Editor, Zhang, Junjie James, Series Editor, Ray, Santanu Saha, editor, Jafari, H., editor, Sekhar, T. Raja, editor, and Kayal, Suchandan, editor

Published
2022
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11. Performance analysis and accuracy of numerical methods for solving simultaneous nonlinear particulate processes with multi-dimensional extension.

Author

Kushwah, Prakrati and Saha, Jitraj

Subjects
*COMPUTATIONAL fluid dynamics, *NUMERICAL analysis, *ANALYTICAL solutions, *CHEMICAL engineering, *RESEARCH personnel
Abstract

The simultaneous population balance equation (PBE) incorporating diverse particulate process aggregation, breakage, growth, nucleation and source is a long-standing and significant problem in the field of particulate sciences such as pharmaceutical industry, chemical engineering, astrophysics and biology. Owing to the complex and nonlinear nature of the governing equations, finding an analytical solution is quite challenging for empirical kernels. In this work, simultaneous PBEs are solved using sectional and semi-analytical techniques. The performance, adaptability and accuracy of both methods for solving simultaneous PBEs are discussed in detail. The iterative semi-analytical scheme for solving simultaneous PBE is introduced, and a detailed convergence analysis using Banach fixed point theory is also presented. Both the schemes are further extended to solve simultaneous PBE in multi-dimensions. Performance analysis is also executed for multi-dimensional models. This article is a comprehensive study on various solution techniques for solving simultaneous PBEs. Therefore, it will be beneficial for the researchers working in industry and computational fluid dynamics modelling to identify the best method according to their requirements. [ABSTRACT FROM AUTHOR]

Published
2024
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12. Existence and uniqueness of solutions for coagulation-fragmentation problems with singularity

Author

Saha, Jitraj and Kumar, Jitendra

Subjects
Mathematics - Analysis of PDEs, 45J05, 34A34, 45L10
Abstract

In this paper, existence and uniqueness of solutions to a non-linear, initial value problem is studied. In particular, we consider a special type of problem which physically represents the time evolution of particle number density resulted due to the coagulation and fragmentation process. The coagulation kernel is chosen from a huge class of functions, both singular and non-singular in nature. On the other hand, fragmentation kernel includes practically relevant non-singular unbounded functions. Moreover, both the kernels satisfy a linear growth rate of particles at infinity. The existence theorem includes lesser restrictions over the kernels as compared to the previous studies. Furthermore, strong convergence results on the sequence of functions are used to establish the existence theory., Comment: Original Research

Published
2015

23. Improved accuracy and convergence of homotopy‐based solutions for aggregation–fragmentation models.

Author

Kushwah, Prakrati and Saha, Jitraj

Subjects
*CONSERVATION of mass, *GELATION
Abstract

We discuss the formulation of a numerical scheme based on the homotopy method to solve different aggregation–fragmentation models including the simultaneous event. Several test cases are considered and analyzed qualitatively and quantitatively to ascertain the improved accuracy and efficiency of the proposed model over the existing semi‐analytical models. The generalized solution of the truncated problem is obtained for some test cases, which in the limiting sense tends to the exact solution. A detailed convergence analysis of the scheme is also studied. [ABSTRACT FROM AUTHOR]

Published
2023
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28. Conservative Finite Volume Schemes for Multidimensional Fragmentation Problems

Author

Saha, Jitraj and Bück, Andreas

Subjects
weight functions, finite volume scheme, lcsh:Mathematics, ddc:510, conservative formulation, lcsh:QA1-939, multidimensional fragmentation equation
Abstract

In this article, a new numerical scheme for the solution of the multidimensional fragmentation problem is presented. It is the first that uses the conservative form of the multidimensional problem. The idea to apply the finite volume scheme for solving one-dimensional linear fragmentation problems is extended over a generalized multidimensional setup. The derivation is given in detail for two-dimensional and three-dimensional problems, an outline for the extension to higher dimensions is also presented. Additionally, the existing one-dimensional finite volume scheme for solving conservative one-dimensional multi-fragmentation equation is extended to solve multidimensional problems. The accuracy and efficiency of both proposed schemes is analyzed for several test problems.

Published
2021

31. Improved accuracy and convergence analysis of finite volume methods for particle fragmentation models.

Author

Saha, Jitraj and Bück, Andreas

Subjects
*BENCHMARK problems (Computer science), *MATHEMATICAL analysis
Abstract

In this work, two new number‐ and volume‐consistent finite volume methods for the numerical solution of binary and multifragmentation problems are introduced. The new number‐consistency is achieved by introducing a single weight function. Several benchmark problems of different complexity are solved to assess the accuracy. Mathematical convergence analysis suggests that both of the new methods are numerically second order convergent with respect to the grid size on uniform and nonuniform meshes. [ABSTRACT FROM AUTHOR]

Published
2021
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