Conference Papers

Permanent URI for this collectionhttps://idr.nitk.ac.in/handle/123456789/28506

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Author: search.filters.author.Arumuga Perumal, D.A.Subject: search.filters.subject.D2Q9 Model

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    Computation of incompressible fluid flows in a single-sided cross-shaped lid-driven cavity using Lattice Boltzmann method
    (Institute of Electrical and Electronics Engineers Inc., 2017) Bhopalam, R.; Arumuga Perumal, D.A.
    This work is an application of a novel Scientfic Computational algorithm, namely, Lattice Boltzmann method (LBM), which has recently been recognized due to two prominent features of its algorithm - simplicity and ability to be parallelized. To get an overview of its application, this study implements LBM with Single Relaxation time (SRT) model to compute the steady incompressible fluid flows in a single sided cross-shaped lid-driven cavity (SSC-LDC). Being categorized as a complex planar geometry of the lid-driven cavity, the code validation for this work is performed by comparing the results of a single sided lid driven cavity (SS - LDC) with benchmarks. The streamline patterns and centerline velocity profiles compared with published results are found to be in good accordance. After establishing the reliability of the code, the mathematical code is extended to simulate the fluid flow in the single-sided cross-shaped lid-driven cavity (SSC-LDC). To demonstrate the physical sense of the flows in SSC-LDC, the development and progress of primary and secondary vortices have also been well captured with the variation of Reynolds number. © 2016 IEEE.
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    LBM combined with LM algorithm to estimate the unknown heat flux - A new inverse approach
    (Elsevier Ltd, 2019) Kumar, D.; Arumuga Perumal, D.A.; Gnanasekaran, N.; Kumar, M.K.
    The objective of the present work is the application of the Levenberg-Marquardt method as an inverse method for the estimation of the heat flux. In this paper inverse estimation of heat flux for a two-dimensional heat conduction problem is carried out. As a direct method, in the first attempt the solution of two-dimensional inverse heat conduction problem is formulated by using Lattice Boltzmann Method as a forward model. Later the solution to the problem is also obtained by using Finite Difference Method (FDM) as the forward model for the purpose of validation. Once the forward model is established, Levenberg-Marquardt Method is used as an inverse model to estimate the input parameter i.e. heat flux which is reported. A complete error analysis of inverse model with known values is performed. As the Lattice Boltzmann Method (LBM) is acclimatizing to parallel computation, its use is recommended in Levenberg-Marquardt method for the solution of inverse heat conduction problem which is evident from the results. © 2019 Elsevier Ltd.