Publications

You can find electronic versions of most of the documents below. If you have any problem to access any document, please email me.

Journal papers

  1. S. M. Deshpande, K. Anandhanarayanan, C. Praveen and V. Ramesh, "Theory and Applications of 3-D LSKUM based on Entropy Variables", Int. Jl. for Num. Methods in Fluids, Vol. 40, Nos 1-2, pp. 47-62, Sept. 2002. [Journal]
  2. Praveen. C and S. M. Deshpande, "Kinetic Meshless Method for compressible flows", Int. J. Num. Meth. Fluids, vol. 55, issue 11, pp. 1059-1089, May 2007. [Journal]
  3. Praveen C and R. Duvigneau, "Low cost PSO using metamodels and inexact pre-evaluation: Application to aerodynamic shape design", Comp. Meth. App. Mech. Engg., vol. 198, pp. 1087-1096, Feb. 2009. [Journal]
  4. Praveen. C, A. K. Ghosh and S. M. Deshpande, "Positivity preservation, stencil selection and applications of LSKUM to 3-D inviscid flows", Comp. Fluids, vol. 38, pp. 1481-1494, Sep. 2009. [Journal]
  5. D. Chauhan, C. Praveen, R. Duvigneau, "Wing Shape Optimization Using FFD and Twist Parameterization", J. of Aerospace Sciences and Technologies, Vol. 62, No. 4, November 2010. [Abstract]
  6. R. Duvigneau and Praveen. C, "Kriging-based optimization applied to flow control", Int. J. Num. Meth. Fluids, vol 69, issue 11, Aug 2012. [Preprint], [Journal]
  7. K. Duraisamy and Praveen. C, "Goal-oriented uncertainty propagation using stochastic adjoints", Computers and Fluids, vol 66, no. 15, Aug 2012. [Journal]
  8. Praveen. C, "Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting", Journal of Computational Physics, vol. 233, Jan 2013. [Journal]
  9. Praveen. C and Ashish Garg, "Vertex-centroid finite volume scheme on tetrahedral grids for conservation laws", Computers and Mathematics with Applications, vol. 65, issue 1, Jan. 2013. [Journal]
  10. Praveen. C, "Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations", Communications in Computational Physics, vol. 14, no. 5, pp. 1252-1286, 2013. [Journal]
  11. Deep Ray and Praveen. C, "Entropy stable schemes for compressible Euler equations", International Journal of Numerical Analysis & Modeling, Series B, vol. 4, no. 4, 2013. [Journal]
  12. Sudarshan K, Praveen. C, G. D. Veerappa Gowda, "A finite volume method for a two-phase multicomponent polymer flooding", Journal of Computational Physics, Vol 275, 15 Oct 2014, pp. 667-695. [Arxiv], [Journal]
  13. Souvik Roy, Venkateshwaran P. Krishnan, Praveen. C and A. S. Vasudevamurthy, "An efficient numerical algorithm for the inversion of an integral transform arising in ultrasound imaging", Journal of Mathematical Imaging and Vision, vol. 53, issue 1, Sep. 2015, pp 78-91. [Journal]
  14. Praveen C and C. Klingenberg, "A second order well-balanced finite volume scheme for Euler equations with gravity", SIAM J. Sci. Comp., vol. 37, Issue 3, pp. 382-402, 2015. [Journal]
  15. Rakshith B. R., S. M. Deshpande, R. Narasimha, C. Praveen, "Optimal low drag wing planforms for tractor configuration propeller-driven aircraft", Journal of Aircraft, Vol. 52, No. 6, April 2015, pp. 1791-1801. [Journal]
  16. Kevin Schaal, Andreas Bauer, Praveen Chandrashekar, Ruediger Pakmor, Christian Klingenberg, Volker Springel, "Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement", Monthly Notices of the Royal Astronomical Society Main Journal, vol. 453, issue 4, Nov 2015, pp. 4278-4300. [arxiv], [Journal]
  17. Souvik Roy, Praveen Chandrashekar, A. S. Vasudeva Murthy, "A Variational Approach to Optical Flow Estimation of Unsteady Incompressible Flows", International Journal of Advances in Engineering Sciences and Applied Mathematics, vol. 7, issue 3, Sep. 2015, pp. 149-167. [Journal]
  18. Juan Pablo Gallego-Valencia, Christian Klingenberg, Praveen Chandrashekar, "On limiting for higher order discontinuous Galerkin method for 2D Euler equations", Bulletin of the Brazilian Math Society, New Series, 47(1), pp. 335-354, March 2016. [Journal], [Preprint]
  19. Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra, "Entropy stable schemes on two-dimensional unstructured grids for Euler equations", Communications in Computational Physics, vol. 19, issue 5, May 2016, pp. 1111-1140. [Preprint], [Journal]
  20. Praveen C and C. Klingenberg, "Entropy stable finite volume scheme for ideal compressible MHD on 2-D Cartesian meshes", SIAM J. Numerical Analysis, vol. 54, issue 2, pp. 1313-1340, 2016. [Journal]
  21. Parish, E., Duraisamy, K., and Chandrashekar, P., "Generalized Riemann Problem-based Upwind Scheme for the Vorticity Transport Equations", Computers and Fluids, Vol. 132, pp. 10-18, June 2016. [Journal]
  22. Praveen. C, "Finite volume discretization of heat equation and compressible Navier-Stokes equations with weak Dirichlet boundary condition on triangular grids", International Journal of Advances in Engineering Sciences and Applied Mathematics, vol. 8, issue 3, pp. 174-193, Sep. 2016. [Preprint], [Journal]
  23. Andreas Bauer, Kevin Schaal, Volker Springel, Praveen Chandrashekar, Rudiger Pakmor and Christian Klingenberg, "Simulating turbulence using the astrophysical discontinuous Galerkin code TENET", in Software for Exascale Computing - SPPEXA 2013-2015, Lecture Notes in Computational Science and Engineering, Springer, 2016. [Arxiv], [Journal]
  24. Souvik Roy, Praveen Chandrashekar, A. S. Vasudeva Murthy, "A variational approach to estimate incompressible fluid flows", Proc. Indian Acad. Sci. (Math. Sci.), Vol. 127, No. 1, Feb 2017, pp. 175-201.
  25. Praveen Chandrashekar and Markus Zenk, "Well-balanced nodal discontinuous Galerkin method for Euler equations with gravity", J. Sci. Comp., Vol. 71, Issue 3, pp. 1062-1093, June 2017. [Arxiv], [Journal]
  26. Asha Meena, Harish Kumar, Praveen Chandrashekar, "Positivity preserving high-order discontinuous Galerkin schemes for 10-moment Gaussian closure equations", Journal of Comp. Physics, Vol. 339, No. 15, pp. 370-395, June 2017. [Journal]

Papers submitted/under preparation

  1. Deep Ray, Praveen Chandrashekar, "An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids", submitted.
  2. Jayesh Badwaik and Praveen Chandrashekar, "Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations", submitted.
  3. Praveen Chandrashekar, "Discontinuous Galerkin method for an anisotropic diffusion model arising in MHD", under preparation.
  4. Praveen Chandrashekar and Veerappa Gowda, "Numerical solution of a heat transfer model arising in cosmic rays", under preparation.
  5. Praveen Chandrashekar, "Discontinuous Galerkin method for rotating shallow water equations on the sphere", under preparation.
  6. Praveen Chandrashekar, "A spectral element method for rotating shallow water equation on the sphere", under preparation.
  7. Jonas Berberich, Praveen Chandrashekar, Christian Klingenberg, "A general well-balanced finite volume scheme for Euler equations with gravity", in preparation
  8. Deep Ray, Praveen Chandrashekar, "Entropy conservative schemes for DNS of compressible flows", under preparation.
  9. Deep Ray, Praveen Chandrashekar, "Stable and energy conserving schemes for shallow water equations", under preparation.
  10. Praveen Chandrashekar, "Hybridizable discontinuous Galerkin method for compressible Navier-Stokes equations", under preparation.
  11. Praveen Chandrashekar and Boniface Nkonga, "Discontinuous Galerkin method for a reduced MHD model", under preparation.

Book chapters

  1. P.-A. Boucard, S. Buytet, Praveen C. and R. Duvigneau, "Multi-niveaux de modele", in Optimisation Multidisciplinaire en Mecanique, Hermes Science Publications-Lavoisier, April 2009.
  2. R. Duvigneau, M. Martinelli and Praveen C., "Estimation d'incertitude en aerodynamique", in Optimisation Multidisciplinaire en Mecanique, Hermes Science Publications-Lavoisier, April 2009.
  3. Pierre-Alain Boucard, Sandrine Buytet, Praveen Chandrashekarappa and Regis Duvigneau, "Multilevel Modeling", in Multidisciplinary Design Optimization in Computational Mechanics, ed. Piotr Breitkopf and Rajan Filomeno Coelho, ISTE, Wiley, April 2010. [HAL]
  4. Regis Duvigneau, Massimiliano Martinelli and Praveen Chandrashekarappa, "Uncertainty Quantification for Robust Design", in Multidisciplinary Design Optimization in Computational Mechanics, ed. Piotr Breitkopf and Rajan Filomeno Coelho, ISTE, Wiley, April 2010. [PDF]

Conferences

  1. Balakrishnan, N. and Praveen, C., "A New upwind least squares finite difference scheme (LSFD-U) for Euler equations of Gas Dynamics", Finite Volumes for Complex Applications-II, Hermes Science Publications, Paris, 1999, pp. 331. [PDF]
  2. Praveen, C. and Balakrishnan, N., "New least squares based finite difference scheme for compressible flows", Proceedings of the 8'th Asian Congress of Fluid Mechanics, Schenzen, China, 6-11 December, 1999. [PDF]
  3. S. M. Deshpande, K. Anandhanarayanan, C. Praveen and V. Ramesh, "Theory and Applications of LSKUM based on Entropy Variables", ICFD Conference on Numerical Methods in Fluid Mechanics, Oxford, March, 2001. [PDF]
  4. Praveen C and SM Deshpande, "A new grid-free method for conservation laws", presented at the Second ICCFD, Sydney, July 2002. [PDF]
  5. Praveen C, "Kinetic Meshless Method for Conservation Laws", presented at the Fifth AeSI CFD Symposium, Bangalore, August 2002. [Paper]
  6. Praveen C, A K Ghosh and S M Deshpande, "Application of LSKUM to 3-D flows using FAME mesh", Seventh AeSI CFD Symposium, Bangalore, August 2004. [PDF]
  7. R. Duvigneau and Praveen. C, "Meta-modeling for robust design and multi-level optimization", 42'nd Colloquium on Applied Aerodynamics, 19-21 March, INRIA, Sophia Antipolis, 2007. [PDF]
  8. R. Duvigneau, M. Martinelli and Praveen C, "On the estimation of drag uncertainty", 43'nd AAAF Colloquium on Applied Aerodynamics, 10-12 March 2008, Poitiers, France. [PDF]
  9. R. Duvigneau, T. Kloczko and Praveen C, "A three-level parallelization strategy for robust design in aerodynamics", 20th International Conference on Parallel Computational Fluid Dynamics, 19-22 May 2008, Lyon France. [PDF]
  10. Praveen. C and R. Duvigneau, "Accelerating aerodynamic shape design using metamodel-assisted particle swarm optimization", ECCOMAS 2008, June 30 - July 5, 2008, Venice, Italy. [PDF]
  11. R. Duvigneau, M. Martinelli and Praveen C, "Uncertainty propagation in CFD using surrogates and automatic differentiation", ECCOMAS 2008, June 30- July 5, 2008, Venice, Italy. [PDF]
  12. B. R. Rakshith, S. M. Deshpande, C. Praveen, R. Narasimha, "Aerodynamic optimization of wings for propeller-driven aircraft", EUCASS, July 2009, Paris. [Poster], [PDF]
  13. Praveen. C, "Airfoil shape optimization using adjoint method and automatic differentiation", 11'th AeSI CFD Symposium, Bangalore, 11-12 August 2009. [Paper], [Slides]
  14. B. R. Rakshith, S. M. Deshpande, C. Praveen, R. Narasimha, "Wing Optimization for Turboprops", Proc. of Symposium on Applied Aerodynamics and Design of Aerospace Vehicles, SAROD 2009, Bangalore, 10-12 December, 2009.
  15. K. Duraisamy, F. Palacious, J. J. Allonso and Praveen. C, "Adjoint based error estimation for high speed flow computations", 48'th AIAA Aerospace Sciences Meeting, Orlando, Florida, Jan 2010. [PDF]
  16. D. Chauhan, Praveen. C and R. Duvigneau, "Wing shape optimization using FFD and twist parameterization", 12'th AeSI CFD Symposium, Bangalore, 11-12 August 2010. [PDF]
  17. Praveen. C, "Numerical shape optimization using CFD", invited talk, 12'th AeSI CFD Symposium, Bangalore, 11-12 August 2010. [Paper], [Slides]
  18. Praveen. C, "Numerical shape optimization for compressible flows", ICMPDE, TIFR-CAM, Bangalore, 13-17 August 2010. [Slides]
  19. Praveen. C, "Meshless methods for conservation laws using alternate least squares procedures", in Meshfree2011 Conference, Dept. of Aerospace Engg., IISc, Bangalore, Jan 10-11, 2011. [Slides]
  20. K. Duraisamy and Praveen. C, "Goal oriented adaptive uncertainty quantification using stochastic adjoints", SIAM Conf. on Computational Science and Engg., Reno, Nevada, Feb 28 -- March 4, 2011.
  21. K. Duraisamy, J. Alonso, P. Chandrashekar, "Goal Oriented Uncertainty Propagation Using Stochastic Adjoints", 20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, USA, 27-30 June, 2011. [PDF]
  22. Regis Duvigneau and Praveen C, "Comparison of some approaches to couple evolutionary methods and metamodeling techniques for fast global optimization with application to aerodynamic design", ICIAM, Vancouver, July 2011. [Abstract]
  23. B. R. Rakshith, S. M. Deshpande, C. Praveen, R. Narasimha. "Assessment of lifting-line theory optimization of turboprop wings in tractor configuration using Euler code", Proc. of SAROD, November 16-18, 2011, Bangalore, India.
  24. Sudarshan Kumar, Veerappa Gowda, Praveen. C, "Application of discontinuous flux for polymer flooding in multi-dimensional oil reservoir simulation", 14'th International Conference on Hyperbolic Problems, Univ. of Padova, June 25-29, 2012.
  25. Vinay Kumar, Ajit Mahendra, Praveen. C, "Rotating gas flow past stationary cylinder", 14'th AeSI CFD Symposium, IISc, Bangalore, 10-11 Aug., 2012. [Paper]
  26. Deep Ray and Praveen. C, "Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations", 14'th AeSI CFD Symposium, IISc, Bangalore, 10-11 Aug., 2012. [Paper]
  27. Praveen. C, "Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier-Stokes equations", Indo-German Conference on Modeling, Simulation and Optimization in Applications, TU-Darmstadt, Germany, 5-7 September, 2012. [Slides]
  28. Souvik Roy, Venkateswaran P. Krishnan, Praveen Chandrashekar and A. S. Vasudeva Murthy, "Efficient numerical reconstruction from partial Radon data in medical and radar imaging", Gene Golub SIAM Summer School, Linz, Austria, August 2014. [Poster]
  29. Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra, "Entropy stable schemes for compressible flows on unstructured meshes", Poster presented at the Workshop on the Analysis and Numerical Approximation of PDEs, ETH Zurich, 8th-10th September, 2014. [Poster]
  30. Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra, "Entropy stable schemes for compressible flows on unstructured meshes", Speaker at the the 5th International Conference on Scientific Computing and Partial Differential Equations, Hong Kong, 8th-12th December, 2014. [Slides]
  31. Praveen. C, "Well-balanced schemes for Euler equations with gravity", Conference on Partial Differential Equations LNMIIT Jaipur, 10-11 December, 2014. [Slides]
  32. Christian Klingenberg, Praveen Chandrashekar, Kevin Schaal, Volker Springel, Gero Schnucke, "Progress on Higher Order Schemes for Cosmological Applications", SPPEXA Symposium, Leibniz Supercomputing Centre, Munich, Germany, 25-27 Jan 2016.
  33. Praveen C and Jayesh Badwaik, "Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for 1-D Euler equations", XVI International Conference on Hyperbolic Problems, 1-5 August 2016, Aachen. [Slides]
  34. Jonas Berberich, Wasilij Barsukow, Praveen Chandrashekar, Philipp Edelmann, Christian Klingenberg, Friedrich Roepke, "Euler with gravity: combining well-balancing with low Mach", XVI International Conference on Hyperbolic Problems, Aachen, 1-5 August, 2016. [Poster], [Preprint]
  35. Juan Pablo Gallego, Praveen Chandrashekar, Christian Klingenberg, "A Runge-Kutta discontinuous Galerkin scheme for the ideal Magnetohydrodynamic model", XVI International Conference on Hyperbolic Problems, Aachen, 1-5 August, 2016. (Poster)
  36. Praveen Chandrashekar, "Structure preserving schemes for conservation laws", International Conference on Advances in Scientific Computing, IIT Madras, 28-30 November, 2016. [Slides]
  37. Praveen Chandrashekar, "Discontinuous Galerkin method for rotating shallow water equation on the sphere", International Conference on Recent Advances in Theoretical and Computational PDE with Applications, Univ. Institute of Engineering and Technology, Panjab University, Chandigarh, 5-9 December, 2016. [Slides]
  38. Praveen Chandrashekar, "Discontinuous Galerkin and spectral element method for rotating shallow water equation on the sphere", Computational Science Symposium, Dept. of Computational and Data Sciences, IISc, Bangalore, 16-18 March, 2017. [Slides]
  39. Praveen Chandrashekar, "Discontinuous Galerkin and spectral element method for rotating shallow water equation on the sphere", PDES on the Sphere 2017, ENS, Paris, 3-7 April, 2017.

Research reports

  1. SM Deshpande, AK Ghosh, Praveen C and Ashok Kumar V, "LSKUM-FAME integration for store trajectory prediction", FM Report 2001-FM-04, Dept. of Aerospace Engg., IISc, March 2001.
  2. Praveen. C, "Positivity and Stability Analysis of LSKUM in one and two dimensions", FM Report 2001-FM-05, Dept. of Aerospace Engg., IISc, 2001. [PDF]
  3. Praveen. C., "Some results on the least squares formula", FM Report 2001-FM-06, Dept. of Aerospace Engg., IISc, 2001. [PDF]
  4. Praveen. C and S. M. Deshpande, "Rotationally Invariant Grid-less Upwind Method for Euler Equations", FM Report 2001-FM-08, Dept. of Aerospace Engg., IISc, 2001. [PDF]
  5. Praveen. C and SM Deshpande, "Kinetic meshless method", FM Report 2003-FM-10, Dept. of Aerospace Engg., IISc, 2003. [PDF]
  6. SM Deshpande and Praveen. C, "On meshless methods based on kinetic and macroscopic formulations", FM Report, 2003-FM-11, Dept. of Aerospace Engg., IISc, 2003. [PDF]
  7. Praveen C, "A positive meshless method for hyperbolic equations", FM Report 2004-FM-16, Dept. of Aerospace Engg., IISc, 2004. [PDF]
  8. Praveen. C, "Using automatic differentiation for solving optimization problems", PD-CF-0514, National Aerospace Laboratories, Bangalore, 2005. [PDF]
  9. Praveen. C, "Adjoint code development and optimization using automatic differentiation", PD-CF-0604, National Aerospace Laboratories, April 2006. [PDF]
  10. Project Report on "Development of an advanced method for store trajectory prediction", Aeronautical Development Agency, Bangalore.
  11. Praveen. C and R. Duvigneau, "Radial basis functions and kriging metamodels for aerodynamic optimization", INRIA Research Report RR-6151, March 2007. [HAL], [PDF]
  12. Praveen. C and R. Duvigneau, "Metamodel-assisted particle swarm optimization and application to aerodynamic shape optimization", INRIA Research Report 6397, December 2007. [PDF]
  13. Praveen. C and R. Duvigneau, "Study of some strategies for global optimization using Gaussian process models with application to aerodynamic design", INRIA Research Report 6964, June 2009. [PDF]
  14. B. R. Rakshith, S. M. Deshpande, C. Praveen and R. Narasimha, "Novel Wing Designs for Tractor-Propeller Aircraft: Theory, CFD and Wind Tunnel Test Results", Report No. Aero. 2013:1, Engineering Mechanics Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore, January 2013.
  15. B. R. Rakshith, S. M. Deshpande, C. Praveen and R. Narasimha, "Critical analysis of Veldhui's optimal wing chord distribution for propeller driven aircraft", Report No. Aero 2014:1, JNCASR, May 2014.
  16. Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra, Entropy stable schemes on two-dimensional unstructured grids, Report number 2014-28, SAM, ETH Zurich, October 2014

Workshops

  1. R. Duvigneau and Praveen. C, "Inverse Problem for Multiple Ellipse Configuration using Global Meta-model based Optimization", Database Workshop for multiphysics optimization software validation, Agora, Jyvaskyla, Finland, December 3-4, 2009. [Slides]
  2. Praveen. C and R. Duvigneau, "TA5 test case using FAMOSA", Database Workshop for multiphysics optimization software validation, Agora, Jyvaskyla, Finland, December 3-4, 2009. [Slides]
  3. Praveen C, "Well-balanced discontinuous Galerkin method for the Euler equations with gravity", Workshop on Higher Order Numerical Methods for Evolutionary PDEs: Applied Mathematics Meets Astrophysical Applications (15w5134), BIRS, Banff, Canada, 10-15 May 2015. [Slides], [Video]
  4. Praveen C, "Numerical implementation of feedback stabilization for Boussinesq model", Workshop on Fluid-Structure Interaction Problems, 29 June - 1 July, 2015, TIFR CAM, Bangalore. [Slides]

Theses

  1. "A new upwind least squares finite difference scheme for compressible flows", Master of Engineering thesis, Dept. of Aerospace Engg., IISc, Bangalore, 2000. [PDF]
  2. "Development and application of kinetic meshless methods for Euler equations", PhD thesis, Dept. of Aerospace Engg., IISc, Bangalore, 2004. [PDF]

Patents

  1. WING AND PROPELLER SYSTEM, METHOD OF OPTIMIZING WING AND PROPELLER/ROTOR SYSTEM AND METHOD OF REDUCING INDUCED DRAG
    US Patent No. 8,915,467, December 23, 2014
    An article in The Hindu about this work.