# Publications

## Journal papers

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.

Praveen. C and S. M. Deshpande, "Kinetic Meshless Method for compressible flows", {\em Int. J. Num. Meth. Fluids}, vol. 55, issue 11, pp. 1059-1089, May 2007.

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.

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

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.

R. Duvigneau and Praveen. C, "Kriging-based optimization applied to flow control", Int. J. Num. Meth. Fluids, vol 69, issue 11, Aug 2012.

K. Duraisamy and Praveen. C, "Goal-oriented uncertainty propagation using stochastic adjoints", Computers and Fluids, vol 66, no. 15, Aug 2012.

Praveen. C, "Discontinuous Galerkin method for Navier-Stokes equations using kinetic flux vector splitting", Journal of Computational Physics, vol. 233, Jan 2013.

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.

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.

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.

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.

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, accepted in Journal of Mathematical Imaging and Vision

Praveen C and C. Klingenberg, A second order well-balanced finite volume scheme for Euler equations with gravity, accepted in SIAM J. Sci. Comp.

Rakshith B. R., S. M. Deshpande, R. Narasimha, C. Praveen, Optimal low drag wing planforms for tractor configuration propeller-driven aircraft, accepted in Journal of Aircraft

Kevin Schaal, Andreas Bauer, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg, Volker Springel, "Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement", accepted in Monthly Notices of the Royal Astronomical Society Main Journal. [arxiv]

Souvik Roy, Praveen Chandrashekar, A. S. Vasudeva Murthy, "A Variational Approach to Optical Flow Estimation of Unsteady Incompressible Flows", accepted in International Journal of Advances in Engineering Sciences and Applied Mathematics

## Papers submitted/under preparation

Praveen. C, "Finite volume discretization of heat equation and compressible Navier-Stokes equations with weak Dirichlet boundary condition on triangular grids", submitted

Praveen C and C. Klingenberg, "Entropy-stable finite volume scheme for compressible ideal MHD", submitted

Praveen C, "Well-balanced discontinuous Galerkin method for Euler equations with gravity", under preparation

Praveen C and C. Klingenberg, "A second order well-balanced finite volume scheme for Euler equations with gravity: General equation of state", under preparation

Deep Ray, Praveen Chandrashekar, Ulrik S. Fjordholm and Siddhartha Mishra, "Entropy stable schemes on two-dimensional unstructured grids", submitted

## Book chapters

P.-A. Boucard, S. Buytet, Praveen C. and R. Duvigneau, "Multi-niveaux de modele", in Optimisation Multidisciplinaire en M\'ecanique, Hermes Science Publications-Lavoisier, April 2009.

R. Duvigneau, M. Martinelli and Praveen C., "Estimation d'incertitude en a\'erodynamique", in Optimisation Multidisciplinaire en M\'ecanique, Hermes Science Publications-Lavoisier, April 2009.

Pierre-Alain Boucard, Sandrine Buytet, Praveen Chandrashekarappa and R\'egis Duvigneau, "Multilevel Modeling", in Multidisciplinary Design Optimization in Computational Mechanics, ed. Piotr Breitkopf and Rajan Filomeno Coelho, ISTE, Wiley, April 2010.

R\'egis 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.

## Conferences

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.

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.

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.

Praveen C and SM Deshpande, "A new grid-free method for conservation laws", presented at the Second ICCFD, Sydney, July 2002.

Praveen C, "Kinetic Meshless Method for Conservation Laws", presented at the Fifth AeSI CFD Symposium, Bangalore, August 2002.

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.

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

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.

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.

Praveen. C and R. Duvigneau, "Accelerating aerodynamic shape design using metamodel-assisted particle swarm optimization", ECCOMAS 2008, June 30 - July 5, 2008, Venice, Italy.

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.

B. R. Rakshith, S. M. Deshpande, C. Praveen, R. Narasimha, "Aerodynamic optimization of wings for propeller-driven aircraft", EUCASS, July 2009, Paris (poster).

Praveen. C, ``Airfoil shape optimization using adjoint method and automatic differentiation", 11'th AeSI CFD Symposium, Bangalore, 11-12 August 2009.

B. R. Rakshith, S. M. Deshpande, C. Praveen, R. Narasimha, "Wing Optimization for Turboprops", Proc. of {\em Symposium on Applied Aerodynamics and Design of Aerospace Vehicles}, SAROD 2009, Bangalore, 10-12 December, 2009.

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.

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.

Praveen. C, "Numerical shape optimization using CFD", invited talk, 12'th AeSI CFD Symposium, Bangalore, 11-12 August 2010.

Praveen. C, "Numerical shape optimization for compressible flows", ICMPDE, 13-17 August 2010.

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.

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.

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.

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.

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.

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.

Vinay Kumar, Ajit Mahendra, Praveen. C, "Rotating gas flow past stationary cylinder", 14'th AeSI CFD Symposium, IISc, Bangalore, 10-11 Aug., 2012.

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.

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.

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.

## Research reports

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.

Praveen. C, ``Positivity and Stability Analysis of LSKUM in one and two dimensions", FM Report 2001-FM-05, Dept. of Aerospace Engg., IISc, 2001.

Praveen. C., ``Some results on the least squares formula", FM Report 2001-FM-06, Dept. of Aerospace Engg., IISc, 2001.

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.

Praveen. C and SM Deshpande, ``Kinetic meshless method", FM Report 2003-FM-10, Dept. of Aerospace Engg., IISc, 2003.

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.

Praveen C, ``A positive meshless method for hyperbolic equations", FM Report 2004-FM-16, Dept. of Aerospace Engg., IISc, 2004.

Praveen. C, ``Using automatic differentiation for solving optimization problems", PD-CF-0514, National Aerospace Laboratories, Bangalore, 2005.

Praveen. C, ``Adjoint code development and optimization using automatic differentiation", PD-CF-0604, National Aerospace Laboratories, April 2006.

Project Report on ``Development of an advanced method for store trajectory prediction", Aeronautical Development Agency, Bangalore.

Praveen. C and R. Duvigneau, ``Radial basis functions and kriging metamodels for aerodynamic optimization", INRIA Research Report RR-6151, March 2007.

Praveen. C and R. Duvigneau, ``Metamodel-assisted particle swarm optimization and application to aerodynamic shape optimization", INRIA Research Report 6397, December 2007.

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.

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.

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

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, Jyv\"askyl\"a, Finland, December 3-4, 2009. Available online

Praveen. C and R. Duvigneau, ``TA5 test case using FAMOSA", Database Workshop for multiphysics optimization software validation, Agora, Jyv\"askyl\"a, Finland, December 3-4, 2009. Available online