Professor Ph.D. (IIT Guwahati)
+91 (0)361 258 2614 jiten ◊ iitg ⋅ ac ⋅ in
Research Area: Computational and Topological Fluid Dynamics, Numerical methods for Partial Differential Equations, Mathematical Biology
Room No: E303
Personal Website  IRINS Profile
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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 NavierStokes (NS) equations. This includes the primitive variable, streamfunctionvorticity and the Biharmonic form of the NS 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 NS equations using HOCimmersed 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 Indian Institute of Technology Guwahati:
At George Washington University, Washington DC, USA:
53. Jiten C Kalita and Pankaj Kumar, "Vortex dynamics of accelerated flow past a mounted wedge", Physics of Fluids , vol.35 ,pp.123607 [2023] , https://doi.org/10.1063/5.0177161
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] , https://www.sciencedirect.com/science/article/pii/S1290072923004490?via%3Dihub
51. Devanand Jaiswal and Jiten C Kalita, "An efficient highorder compact approach for spiral wave dynamics by the FHN model ", Journal of Computational Science , vol.73 ,pp.102147 [2023] , https://www.sciencedirect.com/science/article/pii/S1877750323002077?via%3Dihub
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] , https://www.nature.com/articles/s41598022186020
49. Sailen Dutta and Jiten C Kalita, "Heat and Mass transfer characteristics of doublediffusive natural convection in a porous annulus: a higher order compact approach.", Heat Transfer , vol.51 (1) ,pp.140169, [2022] , https://onlinelibrary.wiley.com/doi/10.1002/htj.22300
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] , https://aip.scitation.org/doi/full/10.1063/5.0107308
47. Raghav Singhal and Jiten C Kalita, "A Novel Higher Order CompactImmersed Interface Approach For Elliptic Problems", PHYSICS OF FLUIDS , vol.33 (8:087112) [2021] , https://doi.org/10.1063/5.0059905
46. Sailen Dutta, Pankaj Kumar, Jiten C Kalita, "ψv computation of steady state conjugate heat transfer in backward facing step flow", Heat Transfer. , vol.50 (6) ,pp.57145743, [2021] , http://doi.org/10.1002/htj.22145
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] , https://aip.scitation.org/doi/10.1063/5.0042603
44. Sailen Dutta, Pankaj Kumar, Jiten C Kalita, "Streamfunctionvelocity computation of natural convection around heated bodies place in a square enclosure", International Journal of Heat and Mass Transfer , vol.152:119550 ,pp.122, [2020] , (DOI: 10.1016/j.ijheatmasstransfer.2020.119550)
43. Devanand Jaiswal, Jiten C Kalita, "Novel HighOrder Compact Approach for Dynamics of Spiral Waves in Excitable Media", Applied Mathematical Modelling , vol.77 ,pp.341359, [2020] , https://doi.org/10.1016/j.apm.2019.07.029
42. Jiten C Kalita, Shubham Goyal, Utkarsh Dixit., "Simulation of Tumorinduced Angiogenesis by an HOC Approach.", Annals of Mathematical Sciences and Applications. , vol.5 (1) ,pp.739, [2020] , https://www.intlpress.com/site/pub/pages/journals/items/amsa/content/vols/0005/0001/a001/index.php
41. H V R Mittal, Jiten C Kalita, Qasem M AlMdallal, "A hybrid Ψv HOC approach for surface tension driven flows in level set framework.", Computers and Mathematics with Applications , vol.79 (8) ,pp.23502375, [2020] , https://doi.org/10.1016/j.camwa.2019.11.004
40. Devanand Jaiswal, Jiten C Kalita., "Effect of straining in spiral wave dynamics in Excitable Media", Physica D: Nonlinear Phenomena , vol.409 (132483) ,pp.115, [2020] , https://www.sciencedirect.com/science/article/pii/S0167278920300154?via%3Dihub
39. Pankaj Kumar, Jiten C Kalita., "An efficient Ψv scheme for 2D laminar flow past bluff bodies on compact nonuniform grids ", International Journal for Numerical Methods in Fluids , vol.92 (12) ,pp.17231752, [2020] , https://onlinelibrary.wiley.com/doi/full/10.1002/fld.4846
38. Sougata Biswas, Jiten C Kalita., "Topology of corner vortices in the liddriven cavity flow: 2D vis a vis 3D", Archives in Applied Mechanics , vol.90 (10) ,pp.22012216, [2020] , https://link.springer.com/article/10.1007/s00419020017160
37. Pankaj Kumar, Jiten C Kalita., "A transformation free Ψv formulation of the NavierStokes equations on compact nonuniform grids", Journal of Computational and Applied Mathematics , vol.353 ,pp.291317, [2019] , https://www.sciencedirect.com/science/article/pii/S0377042718307660
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.471487, [2018] , https://www.sciencedirect.com/science/article/pii/S0898122118302360
35. Jiten C Kalita, Sougata Biswas, Swapnendu Panda., "Finiteness of corner vortices", Zeitschrift für angewandte Mathematik und Physik. , vol.69 (2) ,pp.115, [2018] , https://link.springer.com/article/10.1007/s000330180933x
34. Jiten C Kalita, Parikshit Upadhyaya, Murli M Gupta., "Optimized BiCGStab based GPU accelerated computation of incompressible viscous flows by the Ψv formulation", International Journal of Applied and Computational Mathematics , vol.3 (Suppl 1) ,pp.S1477S1495, [2017] , https://link.springer.com/article/10.1007/s4081901704038
33. Jiten C Kalita, Shuvam Sen., " α and β phenomena in the post symmetry break for the flow past a circular cylinder.", Physics of Fluids , vol.29 (033603) ,pp.112, [2017] , https://aip.scitation.org/doi/full/10.1063/1.4979065
32. Jiten C Kalita., "A dualpurpose High Order Compact approach for pattern formation using GrayScott model.", International Journal of Applied and Computational Mathematics , vol.3 (3) ,pp.27472760, [2017] , https://link.springer.com/article/10.1007/s408190160228x
31. Sougata Biswas, Jiten C Kalita., "Moffatt vortices in the liddriven cavity flow", Journal of Physics Conference Series , vol.759 (1) [2016] , DOI: 10.1088/17426596/759/1/012081
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.68316849, [2016] , https://www.sciencedirect.com/science/article/pii/S0307904X1630107X
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.567606, [2016] , https://onlinelibrary.wiley.com/doi/10.1002/fld.4231
28. Rajendra K Ray, Jiten C Kalita., "Higherordercompact simulation of unsteady flow past a rotating cylinder at moderate Reynolds numbers.", Computational and Applied Mathematics. , vol.35 ,pp.219250, [2016]
27. Shuvem Sen, Jiten C Kalita., "A 4OEC scheme for the biharmonic steady NavierStokes equations in nonrectangular domains.", Computer Physics Communications , vol.196 ,pp.113133, [2015] , https://www.sciencedirect.com/science/article/pii/S0010465515002040
26. Jiten C Kalita, "A supercompact higher order scheme for the unsteady 3D incompressible viscous flows", Computational and Applied Mathematics , vol.33 (3) ,pp.717738, [2014] , https://link.springer.com/article/10.1007/s403140130090y
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.309321, [2014] , https://www.tandfonline.com/doi/full/10.1080/15502287.2013.869634
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.252279, [2014] , https://www.inderscience.com/info/inarticle.php?artid=64855
23. Jiten C Kalita, Bidyut B. Gogoi., "Global twodimensional stability of the staggered cavity flow with an HOC approach", Computers and Mathematics with Applications , vol.67 ,pp.569590, [2014] , https://www.sciencedirect.com/science/article/pii/S0898122113006718
22. Jiten C Kalita, Shuvam Sen., "Unsteady separation leading to secondary and tertiary vortex dynamics: The subα and subβ phenomena", JOURNAL OF FLUID MECHANICS , vol.730 ,pp.1951, [2013] , https://doi.org/10.1017/jfm.2013.272
21. Shuvam Sen, Jiten C Kalita, M M Gupta. ., "A robust implicit compact scheme for twodimensional unsteady flows with a biharmonic stream function formulation", Computers and Fluids , vol.84 ,pp.141163, [2013] , https://www.sciencedirect.com/science/article/pii/S0045793013002089
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.11631182, [2012] , https://doi.org/10.4208/cicp.200411.121211a
19. Jiten C Kalita, Shuvam Sen., "Triggering Asymmetry for Flow Past Circular Cylinder at Low Reynolds Numbers", Computers and Fluids , vol.59 ,pp.4460, [2012] , https://www.sciencedirect.com/science/article/pii/S0045793012000515
18. Jiten C Kalita, Anoop K Das., "Higher Order Compact Simulation of DoubleDiffusive Natural Convection in a Vertical Porous Annulus", Engineering Applications of Computational Fluid Mechanics , vol.5 (3) ,pp.351371, [2011] , https://www.tandfonline.com/doi/abs/10.1080/19942060.2011.11015378
17. Rajendra K Ray, Jiten C Kalita., "A transformationfree HOC scheme for incompressible viscous flows on nonuniform polar grids", International Journal for Numerical Methods in Fluids. , vol.62 ,pp.683708, [2010] , https://onlinelibrary.wiley.com/doi/10.1002/fld.2039
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.18051810, [2010] , http://www.iaeng.org/publication/WCE2010/WCE2010_pp18051810.pdf
15. J.C. Kalita, M M Gupta., "A StreamfunctionVelocity approach for 2D transient incompressible viscous flows.", International Journal for Numerical Methods in Fluids , vol.62 ,pp.237266, [2009] , https://onlinelibrary.wiley.com/doi/10.1002/fld.2013
14. Jiten C Kalita, Rajendra K Ray., "A transformationfree HOC scheme for the incompressible viscous flows past an impulsively started circular cylinder", Journal of Computational Physics , vol.228 ,pp.52075236, [2009] , https://www.sciencedirect.com/science/article/pii/S0021999109001983
13. S.K. Pandit, J.C. Kalita, D.C. Dalal., "A fourthorder accurate compact scheme for the solution of steady NavierStokes equations on nonuniform grids.", Computers and Fluids. , vol.37 (2) ,pp.121134, [2008] , https://www.sciencedirect.com/science/article/pii/S0045793007000916
12. J.C. Kalita, Anoop K. Dass, Nimisha Nidhi., "An efficient transient NavierStokes solver on compact nonuniform space grids", Journal of Computational and Applied Mathematics , vol.214 ,pp.148162, [2008] , https://www.sciencedirect.com/science/article/pii/S0377042707001033
11. Jiten C. Kalita, Shuvam Sen., "The (9,5) HOC formulation for the transient NavierStokes equations in primitive variable.", International Journal for Numerical Methods in Fluids. ():. October. , vol.55 (4) ,pp.387406, [2007] , https://onlinelibrary.wiley.com/doi/10.1002/fld.1472
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.11001124, [2007] , https://www.sciencedirect.com/science/article/pii/S0021999107000319
9. J. C. Kalita., "Effects of clustering on the simulation of incompressible viscous flows.", Engineering Applications of Computational Fluid Mechanics. , vol.1 (1) ,pp.3648, [2007] , https://www.tandfonline.com/doi/abs/10.1080/19942060.2007.11015180
8. J. C. Kalita, Puneet Chhabra, Sudhanshu Kumar., "A semidiscrete higher order compact scheme for the unsteady twodimensional Schrondinger equation.", Journal of Computational and Applied Mathematics. , vol.197 (1) ,pp.141149, [2006] , https://www.sciencedirect.com/science/article/pii/S0377042705006485
7. J. C. Kalita, M M Gupta., "New paradigm continued: further computations with streamfunctionvelocity formulation for solving NavierStokes equations.", Communications in Applied Analysis. ber. , vol.10 (4) ,pp.461490, [2006]
6. J. C. Kalita, Puneet Chhabra., "An improved (9; 5) higher order compact scheme for the transient two dimensional convectiondiffusion equation.", International Journal for Numerical Methods in Fluids , vol.51 (7) ,pp.703717, [2006] , https://onlinelibrary.wiley.com/doi/10.1002/fld.1133
5. M. M. Gupta,J. C. Kalita., "A new paradigm for solving NavierStokes equations: streamfunction velocity formulation.", Journal of Computational Physics. , vol.207 (1) ,pp.5268, [2005] , https://www.sciencedirect.com/science/article/pii/S0021999105000161
4. J.C. Kalita, Anoop K. Dass,D.C. Dalal., "A transformationfree HOC scheme for steady convectiondiffusion on nonuniform grids.", International Journal for Numerical Methods in Fluids. , vol.44 (1) ,pp.3353, [2004] , http://www3.interscience.wiley.com/cgibin/abstract/106570639/ABSTRACT
3. J.C. Kalita, D.C. Dalal, Anoop K. Dass., "A class of Higher Order Compact schemes for the unsteady twodimensional convectiondiffusion equation with variable convection coefficients.", International Journal for Numerical Methods in Fluids , vol.38 ,pp.11111131, [2002] , https://onlinelibrary.wiley.com/doi/10.1002/fld.263
2. J.C. Kalita, D.C. Dalal, Anoop K. Dass., "Erratum: Fully compact higherorder computation of steadystate natural convection in a square cavity [Phys. Rev. E 64, 066703 (2001)]", Physical Review E , vol.65 ,pp.059904 [2002] , https://journals.aps.org/pre/pdf/10.1103/PhysRevE.65.059903
1. J. C. Kalita, Anoop K. Dass, D.C. Dalal., "A fully compact HOC simulation of the steadystate natural convection in a square cavity.", Physical Review E, 066703. , vol.64 (6) ,pp.113, [2001] , http://prola.aps.org/abstract/PRE/v64/i6/e066703
24. Devanand, Jiten C Kalita., "HOC Simulation of Barkley Model in Excitable Media.", Proceedings of International Conference on Frontiers in Industrial and Applied Mathematics (FIAM2018), AIP Conf. Proc. 1975 ,pp.03001110300114, [2018] , doi: 10.1063/1.5042181..
23. Jiten C kalita., "An HOC approach for patterns using GrayScott 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 streamfunctionvelocity ψv formulation.", International Conference on Numerical Analysis and Applied Mathematics 2014, Greece, AIP Conf. Proc. 1648 , AIP ,pp.47000414700044, [2014] , doi: 10.1063/1.4912681
21. Bidyut B. Gogoi, Jiten C. Kalita., "On the global instability of square and cross liddriven cavity flows with a pure streamfunctionvelocity (Ψv) approach.", proceedings of International Conference on Computer Aided Engineering (CAE 2013), IIT Madras. ,pp.314319, [2013]
20. Jiten C Kalita, Rajendra K. Ray., "An efficient higher order accurate scheme for twodimensional 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.11051108, [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.291294, [2011]
17. Jiten C Kalita, Murli M Gupta., "Simulation of the Laminar Flow Past a Square Cylinder by the ψv formulation", International Conference on Numerical Analysis and Applied Mathematics 2009, Greece , AIP Conference Proceedings Volume 1168 , vol.1 ,pp.11661169, [2009]
16. Jiten C Kalita, Rajendra K ray, Anoop K Dass., "An efficient HOC scheme for transient convectiondiffusionreaction equations with discontinuous coefficients and singular source terms.", Proceedings of Applied Mathematics and Mechanics , vol.7 ,pp.10256031025604, [2007]
15. Jiten C Kalita, Murali M Gupta., "An efficient compact formulation for the transient NavierStokes 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 NavierStokes equation.", A CFD approachon fluid flow, heat and mass transfer; applications in multidisciplinary areas: the proceedings of IAWSCFD 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 IAWSCFD 2007, IIT Roorkee, India. , Research Publishing Services. [2007]
12. Jiten C Kalita, Shuvam Sen., "HOC formulation of the transient NavierStokes 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.12741280, [2006]
10. J. C. Kalita, Niranjan Kumar, Anoop K Dass., "HOC computation of twosided liddriven 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.16951700, [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 NavierStokes 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., "Streamfunction velocity formulation for the NavierStokes 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 DoubleDiffusive 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 Indian Institute of Technology Guwahati, India, paper no. ISRTHMT 02125. 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 Nonlinear Systems, at Indian Institute of Technology, Kharagpur, India. , vol.2 ,pp.114133, [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.229235, [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 Institute of Technology, Kharagpur. [1999]
PostDoc Fellow
1  Dr. Rohit Verma (IPDF) 
2  Dr. Subhankar Nandi 
Research Scholars
1  Mijanur Rahaman 
2  Atul Kumar Rai 
3  Pratham Singh 
4  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

2. Coupled ψv and immersed interface method for incompressible viscous flows

3. Simulation of incompressible viscous flows by the biharmonic approach

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