An ATAL (AICTE Training and Learning) Academy Faculty Development Programme (Online Mode) on

Mathematical Modelling of Problems in Coastal and Offshore Engineering

September 14-18, 2020

Objective

Study of various aspects of coastal and offshore engineering has received immense attention over the last few decades for a good number of important applications. Protecting coastal and offshore structures from harsh wave action, installation of structures in oceans, oscillation and motion of marine structures, evaluation of wave forces, study of bottom topography, flexural gravity waves etc. are some very important and practical topics that require rigorous involvement of mathematicians, engineers and designers.  Finding appropriate solutions for problems arising in these areas is a foremost requirement. In this context, mathematics plays a very important role in converting the physical problems into appropriate forms. Methods/techniques such as special functions, Green's function, perturbation technique, integral transforms, integral equations etc., are very important and useful from the point of view of applications in various branches of science and engineering, including coastal and ocean engineering. This proposed FDP will provide some of the key mathematical techniques that are encountered in academic research. Mathematical modelling of real life problems is an important aspect of applied mathematics which caters to various areas of applied science and engineering. It is aimed, through this FDP, to throw light on the basic theory of water waves and understanding of various ocean engineering problems. Appropriate use of mathematical tools in formulating and solving different types of coastal and offshore engineering problems will be displayed. In this modern world where physical phenomena are highly nonlinear, linearizing the problems and finding solutions to various practical problems assumes significance. Idea of water wave theory and related physical conditions, various mathematical tools, formulation, methodology and solutions of various practical problems pertaining to coastal and offshore engineering will be presented in this week-long FDP. Experienced researchers will provide the necessary background for taking up different types of problems encountered in ocean.

Topics

1. Differential Equations (Special Emphasis: Special Functions, Green's functions), Integral Transforms, Singular Integral Equations

2. Basics of Fluid Dynamics

3.  Multi-phase Flow

4. Fracture Mechanics

5. Water Waves: Basic Theory and Applications

6. Application of Various Mathematical Techniques to Water Wave Problems

7. Different Ocean Upper Surfaces and Bottom Topography

8. Two-layer Fluid Problems in Water Wave Scattering

9. Trapping of Water Waves

10. Very Large Floating Structures (VLFS) in Ocean

11. Interaction of Water Waves with Various Types of Structures

12. Numerical Solution of Differential Equations

1. Prof. Birendranath Mandal, Retired Professor, Indian Statistical Institute Kolkata

2. Prof. Trilochan Sahoo, Department of Ocean Engineering and Naval Architecture, Indian Institute of Technology Kharagpur

3. Prof. Durga Charan Dalal, Department of Mathematics, Indian Institute of Technology Guwahati

4. Prof. Gautam Barua, Department of Civil Engineering, Indian Institute of Technology Guwahati

5. Prof. S. Natesan, Department of Mathematics, Indian Institute of Technology Guwahati

6. Prof. KSRK Murthy, Department of Mechanical Engineering, Indian Institute of Technology Guwahati

7. Dr. Subash Chandra Martha, Department of Mathematics, Indian Institute of Technology Ropar

8. Dr. Smrutiranjan Mohapatra, Department of Mathematics, Veer Surendra Sai University of Technology, Burla, Odisha.

9. Dr. Santu Das, Division of Mathematical and Computational Sciences, Institute of Advanced Study in Science and Technology, Guwahati

10. Dr. Sunanda Saha, Department of Mathematics, Vellore Institute of Technology, Vellore

11. Prof. Swaroop Nandan Bora, Department of Mathematics, Indian Institute of Technology Guwahati

Mode of Delivery of Lectures

All activities will take place online through a suitable platform which will be conveyed to all selected participants in due course of time.

1. Faculty members of the AICTE approved institutions

2. Research scholars, PG Scholars from government institutes

3. Government, Industry participants (Bureaucrats/Technicians / Participants from Industry)

4. Staff of host institute (maximum 30% of total participants)

5. Only Indian Nationals

1. For registration of the programme, visit https://www.aicte-india.org/atal

2. Fill in all necessary details and upload documents, if asked.

3. Follow all instructions as given.

Prof. Swaroop Nandan Bora

Professor, Department of Mathematics

Indian Institute of Technology Guwahati

Guwahati - 781 039, Assam

https://www.iitg.ac.in/maths/people/faclist.php?id=swaroop

The time table for all lectures can be found here.

1. Selection of candidates will be as per the existing policy of ATAL Academy rules and regulations.

2. The Coordinator will finalize the list of participants in consultation with the officials of ATAL Academy.

3. All activities will take place online through a suitable platform the details of which will be conveyed to all selected participants in due course of time.

4. Attendance will be marked for each lecture.

5. A Test is likely to be conducted at the end of all lectures.

6. E-certificate will be issued only to those participants who maintain a very good attendance.

7. New information will be displayed as and when required. Check this site at regular interval.

Brochure

It can be downloaded here