Professor Ph.D. (IIT Guwahati)
+91 (0)361 258 2614 jiten 鈼� iitg 鈰� ac 鈰� in
Research Area: Computational and Topological Fluid Dynamics, Numerical methods for Partial Differential Equations, Mathematical Biology
Room No: E-303
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View CV
Department Responsibilities:
Faculty Advisor, B.Tech. (M & C) 2024
My general area of research is Computational Fluid Dynamics (CFD) and Numerical Methods for Partial Differential Equations. More specifically my research encompasses developing efficient Higher Order Compact (HOC) schemes to numerically simulate incompressible viscous flows governed by the Navier-Stokes (N-S) equations. This includes the primitive variable, streamfunction-vorticity and the Biharmonic form of the N-S equations. I have been interested in Topological Fluid Dynamics and the numerical aspects of Mathematical Biology as well. Of late, I have started developing numerical schemes for the N-S equations using HOC-immersed interface methods that involve moving objects.
Currently I am teaching MA542: Compulsory Math course for the MSc in Mathe and Computing students.
Here is a brief description of the courses that I have taught at IITG and GWU.
At 探花视频:
At George Washington University, Washington DC, USA:
55. Jiten C Kalita, Pankaj Kumar, Sailen Dutta and Qasem Al Mdallal, "Numerical investigation of conjugate heat transfer in suddenly expanding channels with high expansion ratios", International Journal of Thermofluids , vol.26 ,pp.101031 [2025] ,
54. Rohit Verma and Jiten C Kalita, "
53. Jiten C Kalita and Pankaj Kumar, "Vortex dynamics of accelerated flow past a mounted wedge", Physics of Fluids , vol.35 ,pp.123607 [2023] ,
52. Raghav Singhal, Sailen Dutta and Jiten C Kalita, "Comprehensive study of forced convection over a heated elliptical cylinder with varying angle of incidence to uniform free stream", International Journal of Thermal Sciences , vol.194 ,pp.108588 [2023] ,
51. Devanand Jaiswal and Jiten C Kalita, "An efficient high-order compact approach for spiral wave dynamics by the FHN model 鈥�", Journal of Computational Science , vol.73 ,pp.102147 [2023] ,
50. Devanand Jaiswal and Jiten C Kalita, "Influence of a circular obstacle on the dynamics of stable spiral waves with straining", Scientific Reports , vol.12 ,pp.14479 [2022] ,
49. Sailen Dutta and Jiten C Kalita, "Heat and Mass transfer characteristics of double-diffusive natural convection in a porous annulus: a higher order compact approach.", Heat Transfer , vol.51 (1) ,pp.140-169, [2022] ,
48. Raghav Singhal and Jiten C Kalita, "An efficient explicit jump High Order Compact immersed interface approach for transient incompressible viscous flows", Physics of Fluids , vol.34 (10) ,pp.103606 [2022] ,
47. Raghav Singhal and Jiten C Kalita, "A Novel Higher Order Compact-Immersed Interface Approach For Elliptic Problems", PHYSICS OF FLUIDS , vol.33 (8:087112) [2021] ,
46. Sailen Dutta, Pankaj Kumar, Jiten C Kalita, "蠄-v computation of steady state conjugate heat transfer in backward facing step flow", Heat Transfer. , vol.50 (6) ,pp.5714-5743, [2021] ,
45. Pankaj Kumar, Jiten C Kalita, "A comprehensive study of secondary and tertiary vortex phenomena of flow past a circular cylinder: A Cartesian grid approach", PHYSICS OF FLUIDS , vol.33(5) ,pp.053608 [2021] ,
44. Sailen Dutta, Pankaj Kumar, Jiten C Kalita, "Streamfunction-velocity computation of natural convection around heated bodies place in a square enclosure", International Journal of Heat and Mass Transfer , vol.152:119550 ,pp.1-22, [2020] , (DOI: 10.1016/j.ijheatmasstransfer.2020.119550)
43. Devanand Jaiswal, Jiten C Kalita, "Novel High-Order Compact Approach for Dynamics of Spiral Waves in Excitable Media", Applied Mathematical Modelling , vol.77 ,pp.341-359, [2020] ,
42. Jiten C Kalita, Shubham Goyal, Utkarsh Dixit., "Simulation of Tumor-induced Angiogenesis by an HOC Approach.", Annals of Mathematical Sciences and Applications. , vol.5 (1) ,pp.7-39, [2020] ,
41. H V R Mittal, Jiten C Kalita, Qasem M Al-Mdallal, "A hybrid 唯-v HOC approach for surface tension driven flows in level set framework.", Computers and Mathematics with Applications , vol.79 (8) ,pp.2350-2375, [2020] ,
40. Devanand Jaiswal, Jiten C Kalita., "Effect of straining in spiral wave dynamics in Excitable Media", Physica D: Nonlinear Phenomena , vol.409 (132483) ,pp.1-15, [2020] ,
39. Pankaj Kumar, Jiten C Kalita., "An efficient 唯-v scheme for 2D laminar flow past bluff bodies on compact nonuniform grids ", International Journal for Numerical Methods in Fluids , vol.92 (12) ,pp.1723-1752, [2020] ,
38. Sougata Biswas, Jiten C Kalita., "Topology of corner vortices in the lid-driven cavity flow: 2D vis a vis 3D", Archives in Applied Mechanics , vol.90 (10) ,pp.2201-2216, [2020] ,
37. Pankaj Kumar, Jiten C Kalita., "A transformation free 唯-v formulation of the Navier-Stokes equations on compact nonuniform grids", Journal of Computational and Applied Mathematics , vol.353 ,pp.291-317, [2019] ,
36. Sougata Biswas, Jiten C Kalita., "Moffatt eddies in the driven cavity: a quantification study by an HOC approach", Computers and Mathematics with Applications. , vol.76 (3) ,pp.471-487, [2018] ,
35. Jiten C Kalita, Sougata Biswas, Swapnendu Panda., "Finiteness of corner vortices", Zeitschrift f眉r angewandte Mathematik und Physik. , vol.69 (2) ,pp.1-15, [2018] ,
34. Jiten C Kalita, Parikshit Upadhyaya, Murli M Gupta., "Optimized BiCGStab based GPU accelerated computation of incompressible viscous flows by the 唯-v formulation", International Journal of Applied and Computational Mathematics , vol.3 (Suppl 1) ,pp.S1477-S1495, [2017] ,
33. Jiten C Kalita, Shuvam Sen., " 伪 and 尾 -phenomena in the post symmetry break for the flow past a circular cylinder.", Physics of Fluids , vol.29 (033603) ,pp.1-12, [2017] ,
32. Jiten C Kalita., "A dual-purpose High Order Compact approach for pattern formation using Gray-Scott model.", International Journal of Applied and Computational Mathematics , vol.3 (3) ,pp.2747-2760, [2017] ,
31. Sougata Biswas, Jiten C Kalita., "Moffatt vortices in the lid-driven cavity flow", Journal of Physics Conference Series , vol.759 (1) [2016] , DOI: 10.1088/1742-6596/759/1/012081
30. Jiten C kalita, Bidyut B Gogoi, "A biharmonic approach for the global stability analysis of 2D incompressible viscous flows.", Applied Mathematical Modelling (40) ,pp.6831-6849, [2016] ,
29. HRV Mittal, Jiten C kalita, Rajendra K. Ray., "A class of finite difference schemes for interface problems with an HOC approach.", International Journal for Numerical Methods in Fluids , vol.82 ,pp.567-606, [2016] ,
28. Rajendra K Ray, Jiten C Kalita., "Higher-order-compact simulation of unsteady flow past a rotating cylinder at moderate Reynolds numbers.", Computational and Applied Mathematics. , vol.35 ,pp.219-250, [2016]
27. Shuvem Sen, Jiten C Kalita., "A 4OEC scheme for the biharmonic steady Navier-Stokes equations in non-rectangular domains.", Computer Physics Communications , vol.196 ,pp.113-133, [2015] ,
26. Jiten C Kalita, "A super-compact higher order scheme for the unsteady 3D incompressible viscous flows", Computational and Applied Mathematics , vol.33 (3) ,pp.717-738, [2014] ,
25. Shuvam Sen, Jiten C Kalita., "Tackling Problems of Moving Boundaries Using the Biharmonic Approach", International Journal for Computational Methods in Engineering Science & Mechanics , vol.15 ,pp.309-321, [2014] ,
24. Jiten C Kalita., "Effect of boundary location on the steady flow past an impulsively started circular cylinder", International Journal of Computing Science and Mathematics. , vol.5 (3) ,pp.252-279, [2014] ,
23. Jiten C Kalita, Bidyut B. Gogoi., "Global two-dimensional stability of the staggered cavity flow with an HOC approach", Computers and Mathematics with Applications , vol.67 ,pp.569-590, [2014] ,
22. Jiten C Kalita, Shuvam Sen., "Unsteady separation leading to secondary and tertiary vortex dynamics: The sub-伪 and sub-尾 phenomena", JOURNAL OF FLUID MECHANICS , vol.730 ,pp.19-51, [2013] ,
21. Shuvam Sen, Jiten C Kalita, M M Gupta. ., "A robust implicit compact scheme for two-dimensional unsteady flows with a biharmonic stream function formulation", Computers and Fluids , vol.84 ,pp.141-163, [2013] ,
20. Jiten C Kalita, Shuvam Sen., "The Biharmonic Approach for Unsteady Flow Past an Impulsively Started Circular Cylinder", Communications in Computational Physics. , vol.12 (4) ,pp.1163-1182, [2012] ,
19. Jiten C Kalita, Shuvam Sen., "Triggering Asymmetry for Flow Past Circular Cylinder at Low Reynolds Numbers", Computers and Fluids , vol.59 ,pp.44-60, [2012] ,
18. Jiten C Kalita, Anoop K Das., "Higher Order Compact Simulation of Double-Diffusive Natural Convection in a Vertical Porous Annulus", Engineering Applications of Computational Fluid Mechanics , vol.5 (3) ,pp.351-371, [2011] ,
17. Rajendra K Ray, Jiten C Kalita., "A transformation-free HOC scheme for incompressible viscous flows on nonuniform polar grids", International Journal for Numerical Methods in Fluids. , vol.62 ,pp.683-708, [2010] ,
16. J.C. Kalita, Shuvam Sen., "Biharmonic computation of the flow past an impulsively started circular cylinder at Re=200", Lecture Notes in Engineering and Computer Science , vol.2185 (1) ,pp.1805-1810, [2010] ,
15. J.C. Kalita, M M Gupta., "A Streamfunction-Velocity approach for 2D transient incompressible viscous flows.", International Journal for Numerical Methods in Fluids , vol.62 ,pp.237-266, [2009] ,
14. Jiten C Kalita, Rajendra K Ray., "A transformation-free HOC scheme for the incompressible viscous flows past an impulsively started circular cylinder", Journal of Computational Physics , vol.228 ,pp.5207-5236, [2009] ,
13. S.K. Pandit, J.C. Kalita, D.C. Dalal., "A fourth-order accurate compact scheme for the solution of steady Navier-Stokes equations on non-uniform grids.", Computers and Fluids. , vol.37 (2) ,pp.121-134, [2008] ,
12. J.C. Kalita, Anoop K. Dass, Nimisha Nidhi., "An efficient transient Navier-Stokes solver on compact nonuniform space grids", Journal of Computational and Applied Mathematics , vol.214 ,pp.148-162, [2008] ,
11. Jiten C. Kalita, Shuvam Sen., "The (9,5) HOC formulation for the transient Navier-Stokes equations in primitive variable.", International Journal for Numerical Methods in Fluids. ():-. October. , vol.55 (4) ,pp.387-406, [2007] ,
10. Swapan K. Pandit, Jiten C. Kalita, D.C. Dalal., "A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular.", Journal of Computational Physics. , vol.225 (1) ,pp.1100-1124, [2007] ,
9. J. C. Kalita., "Effects of clustering on the simulation of incompressible viscous flows.", Engineering Applications of Computational Fluid Mechanics. , vol.1 (1) ,pp.36-48, [2007] ,
8. J. C. Kalita, Puneet Chhabra, Sudhanshu Kumar., "A semi-discrete higher order compact scheme for the unsteady two-dimensional Schrondinger equation.", Journal of Computational and Applied Mathematics. , vol.197 (1) ,pp.141-149, [2006] ,
7. J. C. Kalita, M M Gupta., "New paradigm continued: further computations with stream-function-velocity formulation for solving Navier-Stokes equations.", Communications in Applied Analysis. ber. , vol.10 (4) ,pp.461-490, [2006]
6. J. C. Kalita, Puneet Chhabra., "An improved (9; 5) higher order compact scheme for the transient two dimensional convection-diffusion equation.", International Journal for Numerical Methods in Fluids , vol.51 (7) ,pp.703-717, [2006] ,
5. M. M. Gupta,J. C. Kalita., "A new paradigm for solving Navier-Stokes equations: stream-function- velocity formulation.", Journal of Computational Physics. , vol.207 (1) ,pp.52-68, [2005] ,
4. J.C. Kalita, Anoop K. Dass,D.C. Dalal., "A transformation-free HOC scheme for steady convection-diffusion on non-uniform grids.", International Journal for Numerical Methods in Fluids. , vol.44 (1) ,pp.33-53, [2004] ,
3. J.C. Kalita, D.C. Dalal, Anoop K. Dass., "A class of Higher Order Compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients.", International Journal for Numerical Methods in Fluids , vol.38 ,pp.1111-1131, [2002] ,
2. J.C. Kalita, D.C. Dalal, Anoop K. Dass., "Erratum: Fully compact higher-order computation of steady-state natural convection in a square cavity [Phys. Rev. E 64, 066703 (2001)]", Physical Review E , vol.65 ,pp.059904 [2002] ,
1. J. C. Kalita, Anoop K. Dass, D.C. Dalal., "A fully compact HOC simulation of the steady-state natural convection in a square cavity.", Physical Review E, 066703. , vol.64 (6) ,pp.1-13, [2001] ,
24. Devanand, Jiten C Kalita., "HOC Simulation of Barkley Model in Excitable Media.", Proceedings of International Conference on Frontiers in Industrial and Applied Mathematics (FIAM-2018), AIP Conf. Proc. 1975 ,pp.030011-1-030011-4, [2018] , doi: 10.1063/1.5042181..
23. Jiten C kalita., "An HOC approach for patterns using Gray-Scott model.", Conference Proceedings : Internationa Conference on Numerical Analysis and Applied Mathematics 2016, Greece, AIP Conf. Proc. 1863, 490004 (2017) [2017] , doi: 10.1063/1.4992654.
22. Jiten C Kalita, Parikshit Upadhyaya, Murli M Gupta., "GPU accelerated flow computation by the streamfunction-velocity 蠄-v formulation.", International Conference on Numerical Analysis and Applied Mathematics 2014, Greece, AIP Conf. Proc. 1648 , AIP ,pp.470004-1-470004-4, [2014] , doi: 10.1063/1.4912681
21. Bidyut B. Gogoi, Jiten C. Kalita., "On the global instability of square and cross lid-driven cavity flows with a pure stream-function-velocity (唯-v) approach.", proceedings of International Conference on Computer Aided Engineering (CAE 2013), IIT Madras. ,pp.314-319, [2013]
20. Jiten C Kalita, Rajendra K. Ray., "An efficient higher order accurate scheme for two-dimensional Immersed Interface Problems.", proceedings of third International Conference on Meta Computing, Bhubaneswar, India. [2012]
19. Jiten C Kalita, Murli M Gupta., "Oscillatory flow past an inclined square cylinder at low Reynolds numbers, in AIP Conference Proceedings.", International Conference on Numerical Analysis and Applied Mathematics. , vol.1479 ,pp.1105-1108, [2012]
18. Shuvam Sen, Jiten C Kalita., "Investigation on drag change of a cylinder performing rotatory oscillation", IUTAM Symposium on Bluff Body Flows 2011 ,pp.291-294, [2011]
17. Jiten C Kalita, Murli M Gupta., "Simulation of the Laminar Flow Past a Square Cylinder by the 蠄-v formulation", International Conference on Numerical Analysis and Applied Mathematics 2009, Greece , AIP Conference Proceedings Volume 1168 , vol.1 ,pp.1166-1169, [2009]
16. Jiten C Kalita, Rajendra K ray, Anoop K Dass., "An efficient HOC scheme for transient convection-diffusion-reaction equations with discontinuous coefficients and singular source terms.", Proceedings of Applied Mathematics and Mechanics , vol.7 ,pp.1025603-1025604, [2007]
15. Jiten C Kalita, Murali M Gupta., "An efficient compact formulation for the transient Navier-Stokes equations in biharmonic form in book of abstracts (No. IC/HT(MP71) 2492/026, page IC/MP205/026).", International Congress on Industrial and Applied Mathematics, Zurich, Switzerland. [2007]
14. Jiten C Kalita., "Recent trends in HOC schemes for solving Navier-Stokes equation.", A CFD approachon fluid flow, heat and mass transfer; applications in multidisciplinary areas: the proceedings of IAWS-CFD 2007, IIT Roorkee, India. , Research Publishing Services. [2007]
13. Jiten C Kalita, Rajendra K Ray, Anoop K Dass., "An efficient HOC scheme for 1D elliptic equations with discontinuous coefficients and singular source terms using nonuniform space grids.", A CFD approachon fluid flow, heat and mass transfer; applications in multidisciplinary areas: the proceedings of IAWS-CFD 2007, IIT Roorkee, India. , Research Publishing Services. [2007]
12. Jiten C Kalita, Shuvam Sen., "HOC formulation of the transient Navier-Stokes equations in primitive variables.", International Congress of Mathematicians, Madrid, Spain. [2006]
11. D.C. Dalal, J.C. Kalita, S.K. Pandit., "Numerical investigation of vertical evolution in a backward constricted channel flow.", Proceedings of 2nd International Congress on Computational Mechanics and Simulation (ICCMS- 06) held at the IIT Guwahati. , vol.2 ,pp.1274-1280, [2006]
10. J. C. Kalita, Niranjan Kumar, Anoop K Dass., "HOC computation of two-sided lid-driven cavity flow.", Proceedings of the second International conference on computational mechanics and simulation, IIT Guwahati, India. [2006]
9. J. C. Kalita, S. K. Pandit, D. C. Dalal., "Numerical investigation of vortical evolution in a backward constricted channel.", Proceedings of the second International conference on computational mechanics and simulation, IIT Guwahati, India. , vol.3 ,pp.1695-1700, [2006]
8. J. C. Kalita, S. K. Pandit, D. C. Dalal., "Higher order compact computation of incompressible viscous flows on nonuniform grids.", Proceedings of the International congress of computational and experimental engineering, IIT Madras, India. December. [2005]
7. J. C. Kalita, S. K. Pandit, D. C. Dalal., "HOC schemes for solving Navier-Stokes equations on curvilinear meshes.", Proceedings of the 50th congress of Indian society of theoretical and applied mechanics, IIT Kharagpur, India. [2005]
6. J. C. Kalita, S. K. Pandit, D. C. Dalal., "HOC schemes for rows in constricted tube.", Proceedings of the 50th congress of Indian society of theoretical and applied mechanics, IIT Kharagpur, India. [2005]
5. Jiten C Kalita, M. M. Gupta., "Stream-function velocity formulation for the Navier-Stokes equations.", International symposium on computational and information sciences, at Shanghai, China. [2004]
4. D.C. Dalal, J.C. Kalita, Anoop K. Dass., "Buoyancy Ratio Effects on the Double-Diffusive Natural Convection in a Vertical Porous Annulus: An HOC Simulation.", Proceedings of International Symposium on Recent Trends in Heat and Mass Transfer held at the 探花视频, India, paper no. ISRTHMT 02-125. January. [2002]
3. Jiten C Kalita, D. C. Dalal, Anoop K. Dass., "Simulation of flow in a differentially heated square cavity at high Rayleigh Numbers.", proceedings of the International Conference on Mathematical Modelling of Non-linear Systems, at Indian 探花视频 of Technology, Kharagpur, India. , vol.2 ,pp.114-133, [2000]
2. D.C. Dalal, J.C. Kalita, Anoop K. Dass., "Simulation of flow in a differentially heated square cavity for Ra=10^6 and 10^7.", Proceedings of the 27th National Conference on Fluid Mechanics and Fluid Power held at Palghat, India, December 2000. ,pp.229-235, [2000]
1. D.C. Dalal, J.C. Kalita., "Application of HOC method in steady state natural convection in a square cavity: A numerical approach.", Proceedings of the International Conference on Mathematical Modelling of Nonlinear Systems held at Indian 探花视频 of Technology, Kharagpur. [1999]
PostDoc Fellow
| 1 | Dr. Rohit Verma (IPDF) |
| 2 | Dr. Subhankar Nandi |
Research Scholars
| 1 | Mijanur Rahaman |
| 2 | Pratham Singh |
| 3 | Sumit Kumar |
| 1 | Raghav Singhal |
| 2 | Rajandra Kumar Ray |
| 3 | Shuvam Sen |
| 4 | Bidyut Gogoi |
| 5 | Sougata Biswas |
| 6 | Devanand |
| 7 | Swapan Kumar Pandit |
External Research Scholars
| 1 | Momit Ranjan Gogoi (Tezpur University) |
| 1 | Pankaj Kumar (Mechanical Engineering, IIT Guwahati) |
| 2 | Sailen Dutta (Mechanical Engineering, IIT Guwahati) |
| 1. High order compact simulation of flow and transport in porous media
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| 2. Coupled 蠄-v and immersed interface method for incompressible viscous flows
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| 3. Simulation of incompressible viscous flows by the biharmonic approach
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