Computational-Fluid-Dynamics (CFD): A more Physical Approach
Date and Time: 15th May 2018, 4:00 to 5:00 PM
Venue: Room no. 207
Almost all the physics based simulation software involves numerical solution of system of Linear-Algebraic-Equations (LAEs). The governing LAEs are derived from continuous-mathematics based partial-differential-equations (PDEs), using mostly Finite-Element-Method (FEM) in computational solid mechanics and Finite-Volume-Method (FVM) in Computational-Fluid-Dynamics (CFD). The FVM based algebraic-formulation in CFD involves application of volume integral and Gauss-divergence theorem to the governing PDEs (continuity, momentum, and energy equations) - a mathematical approach of FVM. Here, a more physical approach of FVM is presented for the derivation of the governing LAEs in CFD; considering a discrete-mathematics (PDE free) based application of mass, momentum, and energy conservation laws. Statements for application of these physical laws to an elemental control-volume (CV) are presented in two different forms: continuous and discrete. Application of continuous-mathematics to the continuous-form leads to a differential-formulation while application of discrete-mathematics to the discrete-form leads to an algebraic-formulation – a physical approach of FVM; based on physical law and discrete-mathematics. The objective is to demonstrate that the algebraic-formulation is any computational course should involve discrete-mathematics - independent of continuous-mathematics - presented recently in a text book (Atul Sharma, Introduction to Computational Fluid Dynamics: Development, Application and Analysis, 412 pages, John Wiley & Sons Ltd. (HB edition) and Anebooks Pvt. Ltd., 2017 (PB edition): http://cfdmadeeasy.org/). This results in a better physical understanding of the algebraic-formulation and may lead to more physically realistic numerical models. It will also enable startups on development of apps (application-software) for various engineering applications - leading to Make CFD-Software in INDIA.
Dr. Atul Sharma is currently Professor in the Department of Mechanical Engineering at Indian Institute of Technology (IIT) Bombay, with a teaching experience of more than 15 years. After completing his M.E. from Indian Institute of Science, Bangalore, he worked as a Lecturer at National Institute of Technology, Hamirpur (H.P.), where he introduced and taught a course on CFD. Later in 2004, he obtained his Ph.D. from IIT Kanpur; and worked on all the three aspects of CFD, i.e., Development, Application and Analysis. He taught CFD through distance education mode at IIT Bombay, from 2007-2010. He also delivered a course on CFD to more than 1400 college teachers from different parts of INDIA in 2012, as a part of a project under National Mission on Education. He has recently authored a text-book on Introduction to Computational Fluid Dynamics: Development, Application and Analysis, John Wiley & Sons Ltd. & Athena Academic, UK, 2016. He is currently working on CFD development, application, and analysis for various types of multi-phase flow and fluid-structure interaction problems. He was a CFD consultant (2010-2014) for Global R&D, Crompton Greaves Limited, Mumbai. He is serving as Secretary, National Society of Fluid Mechanics and Fluid Power, since December 2014. He has more than 50 international journal publications and graduated 8 Ph.D. students so far.