Completed: 

• Title of the project: Higher Order Compact (HOC) Finite Difference Scheme for Elliptic Equations with Discontinuous Coefficients and Singular Source Terms

      Sponsoring Organisation: IIT Mandi (Seed Grant)

      Period of Funding:  3 years (2011-2014)

      Amount of Grant:  Rs. 5,00,000.00

      Co-Investigators (if any):   No.

• Title of the project: Development of a class of Higher Order Compact (HOC) Finite Difference Schemes and its application to Linear Shear Flows

      Sponsoring Organisation: Science & Engineering Research Board (SERB), DST

      Period of Funding:  3 years (19.03.2014 – 18.08.2017)

      Amount of Grant:  Rs. 13,32,000.00

• Title of the project: Modeling of Contaminated Sediment Transport in Lake/River

     Sponsoring Organisation: Board of Research in Nuclear   Sciences (BRNS), DAE

     Period of Funding:  3 years (15.07.2014 – 31.08.2018)

     Amount of Grant:  Rs. 21,07,100.00

     Co-Investigators (if any):   Dr. O. P. Singh (Co-PI, IIT Mandi)

• Title of the project: Development of Higher Order Accurate Numerical Schemes for Elliptic Equations with various Discontinuities and its Application to Immersed Interface Problems

      Sponsoring Organisation: National Board of Higher      Mathematics (NBHM), DAE

      Period of Funding:  3 years (27.01.2015 – 26.01.2018)

      Amount of Grant:  Rs. 2,99,000.00

• Title of the project: Development of an efficient numerical method for solving stochastic partial differential equation and its application to turbulent flow analysis

      Sponsoring Organisation: Science & Engineering Research Board (SERB), DST

      Period of Funding:  3 years (16.08.2018 – 15.08.2021)

      Amount of Grant:  Rs. 20,09,918.00

• Title of the project: Consultancy services for Computational Fluid Dynamic (CFD) Analysis of Intake structure of Lower Arun HEP

                           Sponsoring Organisation: Satluj Jal Vidyut Nigam (SJVN)

                           Period of Funding:  2 months (2022)

                           Amount of Grant:  Rs. 15,00,000.00

• Title of the project: 3D two-phase numerical modelling for sediment transport 

                           Sponsoring Organisation: SPARC, MoE 

                           Period of Funding:  2 years (01/04/2024 – 31/03/2025) 

                           Amount of Grant:  Rs. 74,04,000.00 

  Co-Investigators :  Dr. Julien CHAUCHAT (Foreign PI, Université Grenoble Alpes, France), Dr. Dhiraj V. Pa l (Indian Co-PI, IIT Dharwad), Dr. Hermes Gadêlha (Foreign     Co-PI, University of Bristol, U.K.) 

Ongoing/Accepted: 

• Title of the project (Ongoing): Computational Study of Three-Dimensional Non-Newtonian Nanofluids Through a Class of New Higher-Order Super-Compact Schemes 

                           Sponsoring Organisation: Anusandhan National Research Foundation (ANRF), DST 

                           Period of Funding:  3 years (27/03/2026 – 26/03/2029) 

                           Amount of Grant:  Rs. 38,82,849.00 

• Title of the project (as Co-PI): Defect Prevention in Die Casting Manufacturing Process of Automobile Oil Pan using Machine Learning and Mathematical Modeling Techniques  

                           Sponsoring Organisation: Neuriot Labs (Neuriot); C-001/A2, Sector 16B, Noida, UP 201301

                           Period of Funding:  Four months (January – April, 2026)  

                           Amount of Grant:  Rs. 354000.00 

  PI :   Dr. Tanmay Kayal   

• Title of the project (Accepted as Co-PI): Exploring Regression Models for Lifetime Distributions under Censoring 

                           Sponsoring Organisation: Aeronautics Research and Development Board (AR&DB), DRDO  

                           Period of Funding:  3 years (2026 -2029) 

                           Amount of Grant:  Rs. 5500000.0 (Approx) 

   PI:  Dr. Tanmay Kayal