Dr. Ajay Rangarajan M.Sc.

Dr. Ajay Rangarajan M.Sc.

Member

Funding: AICES

Advisor / Co. Advisor

Prof. May

Thesis Title

Metric-Based hp-adaptation using a continuous mesh model

Address

AICES Graduate School
RWTH Aachen University
Schinkelstr. 2
D-52062 Aachen
Germany
Office: room 421 (Rogowski building, 4th floor)

Phone: +49 (0)241 80 99 135
Fax: + 49 (0) 241 80 628 498
Email: rangarajan@aices.rwth-aachen.de 

Research interest

PhD research: Adaptive meshing, Metric based mesh optimization, High order methods, Discontinuous Galerkin methods.

Postdoc research: Model order reduction, parameter reduction, inverse problems.

 

Currently working with Prof. Karen Veroy-Grepl in the group HPCES as part of the ERC project DIMENSION.

Education

Since 1/2020   Postdoctoral researcher at AICES Graduate School, RWTH Aachen University, Germany  
Since 10/2016   Doctoral student at AICES Graduate School, RWTH Aachen University, Germany  
10/2013 - 12/2015   Master of Science in Simulation Science at German Research School for Simulation Sciences, RWTH Aachen University, Germany  
08/2009 - 04/2013   Bachelor of Technology in Mechanical Engineering at Indian Institute of Technology Hyderabad, India  

Past experience

11/2017 - 12/2017   Visiting student at Faculty of Mathematics and Physics, Department of Numerical Mathematics, Charles University in Prague  
02/2016 - 09/2016   Research Assistant at AICES Graduate School, RWTH Aachen University, Germany  
03/2015 - 12/2015   Student Assistant at AICES Graduate School, RWTH Aachen University, Germany  
01/2014 - 02/2015   Student Assistant at Access Technology, Aachen, Germany  
07/2013 - 09/2013   Research intern at CD-adapco, Bangalore, India  
05/2012 - 07/2012   Research intern at CD-adapco, Bangalore, India  

 

Journal publications

A Review and Comparison of Error Estimators for Anisotropic Mesh Adaptation for Flow Simulations
Aravind Balan, Michael A. Park, Stephen L. Wood, W. Kyle Anderson, Ajay Rangarajan, Devina Sanjaya and Georg May, under internal review

Optimal approximation spaces for discontinuous Petrov-Galerkin finite element methods
Ankit Chakraborty, Ajay Rangarajan and Georg May, arXiv:2012.12751 (2020)

Adjoint-based anisotropic hp-adaptation for discontinuous Galerkin methods using a continuous mesh model
Ajay Rangarajan, Georg May and Vit Dolejsi, Journal of Computational Physics, Volume 409, 15 May 2020, 109321

A goal-oriented anisotropic hp-mesh adaptation method for linear convection-diffusion-reaction problems
Ondrej Bartos, Vit Dolejsi, Georg May, Ajay Rangarajan and Filip Roskovec, Computers and Mathematics with Applications, Volume 78, Issue 9, 1 November 2019, Pages 2973-2993

A goal-oriented high-order anisotropic mesh adaptation discontinuous Galerkin method for linear convection-diffusion-reaction problems
Vit Dolejsi, Georg May Ajay Rangarajan and Filip Roskovec, Siam Journal of Scientific Computing, 2019, 41(3), A1899–A1922. (24 pages)

Mesh Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model
Ajay Rangarajan, Aravind Balan and Georg May, AIAA Journal, Vol. 56, No. 10 (2018), pp. 4060-4073

A continuous hp-mesh model for adaptive discontinuous Galerkin schemes
Vit Dolejsi, Georg May and Ajay Rangarajan, Applied Numerical Mathematics, Volume 124, February 2018, Pages 1-21

Talks

Metric-Based hp-Adaptation using a Continuous Mesh Model
Ajay Rangarajan
IRTG Modern Inverse Problems (MIP) Annual Workshop, Austin, USA, July 24, 2019

Metric-Based hp-Adaptation using a Continuous Mesh Model
Ajay Rangarajan
IRTG Modern Inverse Problems (MIP) Kick-off, Aachen, Germany, November 28, 2018

Optimized hp Approximation Spaces for Goal-Oriented Adaptation
Ajay Rangarajan, Georg May and Vit Dolejsi
ICOSAHOM 2018, Part of Co-organized minisymposia: Mesh Adaptation and Error Estimation for High-Order Methods, London, United Kingdom, July 9-13, 2018

A fully adaptive HDG computational framework for convection-diffusion systems
Georg May and Ajay Rangarajan
ICOSAHOM 2018, London, United Kingdom, July 9-13, 2018

A Continuous Mesh Model for Goal-Oriented hp-Adaptation
Georg May, Ajay Rangarajan and Ankit Chakraborthy
ECOMASS 2018, Glasgow, United Kindgom, June 11-15, 2018

Anisotropic Goal-oriented Error Estimates for HDG Schemes
Ajay Rangarajan, Georg May, Vit Dolejsi and FIlip Roskovec
6th European Seminar on Computing, Pilzen, Czech Republic, June 3-8, 2018

Hybridized DG schemes on near optimal meshes
Ajay Rangarajan and Georg May
Seminar of Numerical Mathematics, Department of Numerical Mathematics, Charles University, Prague, Czech Republic, December 14, 2017

A Continuous Mesh Model for Goal-Oriented hp-Adaptation
Ajay Rangarajan, Georg May and Vit Dolejsi
USNCCM 14, Montreal, Canada, July 17-20, 2017

Analytic Metric-Based Adaptation Using a Continuous Mesh Model
Ajay Rangarajan, Georg May and Vit Dolejsi
Fenics 2017, Luxembourg, June 12-14, 2017

Metric-Based hp-adaptation using a continuous mesh model
Georg May, Ajay Rangarajan and Vit Dolejsi
SIAM Conference on Computational Science & Engineering (CSE17), Atlanta, USA, February 27-March 3, 2017

Adaptive HDG Schemes on Near-Optimal Meshes
Georg May and Ajay Rangarajan
2016 SIAM Annual Meeting (AN16), Boston, USA, July 11-15, 2016

Analytic Mesh Optimization for Discontinuous Galerkin Methods Using a Continuous Mesh Model
Ajay Rangarajan and Georg May
5th European Seminar on Computing, Pilzen, Czech Republic, June 5-10, 2016

Numerical investigation of the effect of bed height and coefficient of restitution on the minimum fluidization velocity of a cylindrical fluidized bed
Adithya Karnik, Ajay Rangarajan and Mohit Tandon
8th International conference on multiphase flow (ICMF 2013), 26-31 May 2013, Jeju, Korea

Conference proceedings

Metric Construction for Error Control of Finite Element Solutions
Ajay Rangarajan and Georg May, AIAA Aviation Forum, (AIAA 2019-3058)

A goal oriented optimization technique for tetrahedral grids using a continuous-mesh model
Ajay Rangarajan, Ankit Chakraborty and Georg May , AIAA SciTech Forum, (AIAA 2019-0349)

A continuous-mesh optimization technique for piecewise polynomial approximation on tetrahedral grids
Ajay Rangarajan, Ankit Chakraborty, Georg May and Vit Dolejsi, 2018 Fluid Dynamics Conference, AIAA Aviation Forum, (AIAA 2018-3246)

Numerical investigation of in-cylinder fuel atomization and mixing for a GDI engine
Ajay Rangarajan and Raja Banerjee, 11th ISHMT - ASME Heat and Mass Transfer Conference, Kharagpur, India, Dec 28-31, 2013

Numerical Investigation of the Hydrodynamics of Cylindrical Fluidized Bed
Aditya Karnik, Ajay Rangarajan, and Mohit Tandon, The 14th International Conference on Fluidization- From Fundamentals to Products, Eds, ECI Symposium Series, Volume (2013)

Experimental study of dense bi-disperse granular flow through a pipe with a ninety degree bend
Gautham Manoharan, Abram Kakkozha, Ajay Rangarajan, Karthik Vajapeyajula, Ashwin Kolappan, Mahesh Panchagnula and Srikanth Vedantam, 3rd International Conference on Material Modelling, Warsaw, Poland, Sept 8-11, 2013

Thesis

Metric Based hp−Adaptation Using a Continuous Mesh Model for Higher Order Schemes
PhD thesis at AICES, RWTH Aachen, April 2021.

Anisotropic mesh optimization for higher order Discontinuous Galerkin methods using a continuous mesh model
Master's thesis at AICES, RWTH Aachen, December 2015.

Numerical modelling of in-cylinder spray in GDI engines
Bachelor's thesis at Indian Institute of Technology Hyderabad, April 2013.