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Academic Staff

Dr Bharat Tripathi

PhD

Contact Details

Senior Lecturer/Lecturer Above The Bar
E: bharat.tripathi@nuigalway.ie

Biography

Dr. Bharat B Tripathi was born in Varanasi, India. He received his B.Sc. degree in Statistics (Hons.) with the University Gold medal from Banaras Hindu University in 2010. He then received his M.Sc. in Applied Statistics and Informatics in 2012, from Indian Institute of Technology Bombay, India. He earned his Ph.D. in 2015 from Institut d'Alembert, Sorbonne University (Paris-VI), France in Mechanical Engineering. His Ph.D. research focused on development of the discontinuous Galerkin method for nonlinear acoustic shocks in complex geometry with applications in sonic boom, therapeutic ultrasound.

From 2016 to 2017 as Postdoctoral Associate and from 2018 till August 2020 as Research Assistant Professor, he worked in the University of North Carolina at Chapel Hill on modeling and simulation of shear shock waves in brain in the context of traumatic brain injury. In September 2020, he joined National University of Ireland Galway, Ireland as a Lecturer (Above The Bar) in Applied Mathematics at School of Mathematics, Statistics and Applied Mathematics. The overarching theme of his research is the development of state-of-the-art numerical methods for the propagation of nonlinear-acoustic and nonlinear-shear waves in fluids and solids, respectively, with applications to biomedical problems.

Lab page: https://www.universityofgalway.ie/tripathilab/

Research Interests

Problems of Interest: Traumatic Brain Injury, Therapeutic Ultrasound (HIFU, Lithotripsy, Histotripsy)

Theoretical Models: Shear Shock waves, Acoustic Shock Waves, Nonlinear Conservation Laws, Nonlinear Elastodynamics, Relaxation Mechanisms
Numerical Methods: Discontinuous Galerkin Finite Element Method, Finite Volume Methods, Finite Difference Methods, Uncertainty Quantification, Machine Learning

Peer Reviewed Journals

	Year	Publication
	(2020)	'Modeling ultrasound propagation in the moving brain: applications to shear shock waves and traumatic brain injury' Chandrasekaran S;Tripathi BB;Espindola D;Pinton GF; (2020) 'Modeling ultrasound propagation in the moving brain: applications to shear shock waves and traumatic brain injury'. Ieee Transactions On Ultrasonics Ferroelectrics And Frequency Control, PP [DOI] [Details]
	(2019)	'Modeling and simulations of two dimensional propagation of shear shock waves in relaxing soft solids' Tripathi, BB;Espindola, D;Pinton, GF (2019) 'Modeling and simulations of two dimensional propagation of shear shock waves in relaxing soft solids'. Journal Of Computational Physics, 395 :205-222 [DOI] [Details]
	(2019)	'Piecewise parabolic method for propagation of shear shock waves in relaxing soft solids: One-dimensional case' Tripathi BB;Espíndola D;Pinton GF; (2019) 'Piecewise parabolic method for propagation of shear shock waves in relaxing soft solids: One-dimensional case'. International Journal For Numerical Methods In Biomedical Engineering, 35 (5) [DOI] [Details]
	(2018)	'Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes' Tripathi, BB;Luca, A;Baskar, S;Coulouvrat, F;Marchiano, R (2018) 'Element centered smooth artificial viscosity in discontinuous Galerkin method for propagation of acoustic shock waves on unstructured meshes'. Journal Of Computational Physics, 366 :298-319 [DOI] [Details]
	(2018)	'Numerical observation of secondary Mach stem in weak acoustic shock reflection' Tripathi BB;Baskar S;Coulouvrat F;Marchiano R; (2018) 'Numerical observation of secondary Mach stem in weak acoustic shock reflection'. Journal Of The Acoustical Society Of America, 144 (2) [DOI] [Details]
	(2017)	'Piecewise parabolic method for simulating one-dimensional shear shock wave propagation in tissue-mimicking phantoms' Tripathi, BB;Espindola, D;Pinton, GF (2017) 'Piecewise parabolic method for simulating one-dimensional shear shock wave propagation in tissue-mimicking phantoms'. Shock Waves, 27 :879-888 [DOI] [Details]

Conference Publications

	Year	Publication
	(2018)	*2018 IEEE International Ultrasound Symposium* Sandhya Chandrasekaran, Bharat Tripathi, David Espindola, and Gianmarco Pinton (2018) Subresolution displacements and shear shock wave tracking in the human brain 2018 IEEE International Ultrasound Symposium [Details]
	(2018)	*2018 IEEE International Ultrasound Symposium* Bharat Tripathi, David Espindola, and Gianmarco Pinton (2018) Estimation of viscoelastic properties of tissue with arbitrary power-law attenuation 2018 IEEE International Ultrasound Symposium [Details]
	(2018)	*2018 IEEE International Ultrasound Symposium* Bharat Tripathi, Sandhya Chandrasekaran, David Espindola, and Gianmarco Pinton (2018) Shear shock wave focusing in human skull phantom: observations with high-frame rate ultrasound imaging and matched simulations 2018 IEEE International Ultrasound Symposium [Details]
	(2018)	*21st International Symposium on Nonlinear Acoustics* Bharat B. Tripathi and Gianmarco F. Pinton (2018) Simulation of Shear Shock Waves in the Human Head for Traumatic Brain Injury 21st International Symposium on Nonlinear Acoustics [Details]
	(2017)	*2017 IEEE International Ultrasound Symposium* Bofeng Zhang, Gianmarco Pinton, Yufeng Deng, Bharat Tripathi, Kathryn Nightingale (2017) Nonlinear Ultrasound Propagation in Homogeneous and Heterogeneous Media: Factors Affecting the in situ Mechanical Index(MI) 2017 IEEE International Ultrasound Symposium [Details]
	(2015)	*20th International Symposium on Nonlinear Acoustics* Bharat B. Tripathi, Sambandam Baskar, Franc¸ois Coulouvrat, and R´egis Marchiano (2015) Discontinuous Galerkin Method with Gaussian Artificial Viscosity on Graphical Processing Units for Nonlinear Acoustics 20th International Symposium on Nonlinear Acoustics [Details]
	(2014)	*Congr `es Franc¸ais d’Acoustique 2014* Bharat B. Tripathi, Sambandam Baskar, Franc¸ois Coulouvrat, and R´egis Marchiano (2014) Numerical Simulation for Propagation of Acoustical Shock Waves in Complex Geometry using Discontinuous Galerkin Method Congr `es Franc¸ais d’Acoustique 2014 [Details]
	(2013)	*Acoustics 2013* Bharat B. Tripathi, Sambandam Baskar, Franc¸ois Coulouvrat, and R´egis Marchiano (2013) High Fidelity Solver for Nonlinear Acoustics Acoustics 2013 [Details]

Employment

	Employer	Position	From / To
	University of North Carolina at Chapel Hill	Research Assistant Professor	01-JAN-18 / 31-AUG-20
	University of North Carolina at Chapel Hill	Post-Doctoral Research Associate	19-JAN-16 / 31-DEC-17

Education

Year	Institution	Qualification	Subject
2010	Banaras Hindu University, Varanasi, India	B.Sc.	Statistics
2012	Indian Institute of Technology Bombay, Mumbai, India	M.Sc.	Applied Statistics and Informatics
2015	Institute Jean Le Rond D’Alembert, Sorbonne Université, Paris, France	Ph.D.	Mechanical Engineering