Applied and Computational Mathematics (ACoM)
RWTH Aachen University, Schinkelstr. 2
52062 Aachen, Germany

Room: 325 (Rogowski Building, 3rd floor)
Phone: +49 (0)241 80-98662
Email: singh@acom.rwth-aachen.de

• High-Order Discontinuous Galerkin Method
• Computational Fluid Dynamics
• Hydrodynamic Instability
• Multi-species Flows
• Plasma Physics
• Gas Kinetic Theory

• Ph.D. in Mechanical and Aerospace Engineering, Gyeongsang National University, South Korea.
• M.Tech. in Industrial Mathematics and Scientific Computing, Indian Institute of Technology Madras, Chennai, India.
• M.Sc. in Mathematics, Chaudhary Charan Singh University Meerut, India.

• Postdoctoral Fellow, RWTH Aachen University, Germany (9.2022 – Present).
• Postdoctoral Fellow, Nanyang Technological University, Singapore (8.2018 – 8.2022).
• Course Tutor, Nanyang Technological University, Singapore (8.2021 – 11.2021).
• Postdoctoral Fellow, Gyeongsang National University, South Korea (3.2018 – 7.2018).
• Visiting Researcher, Northwestern Polytechnical University, Xi’an, China (7.2015 – 8.2015).
• Assistant Professor, Galgotias College of Eng. & Technology, India (10.2011 – 2.2013).
• Assistant Professor, IMS Engineering College, Ghaziabad, India (7.2011 – 10.2011).
• M. Tech. Researcher, Indian Institute of Technology Madras, India (6.2010 – 6.2011).

• Brain Korea 21 (BK 21+) Scholarship for Ph.D. Program, Govt. of South Korea (2013-2016).
• GATE Financial HMRD Scholarship for M.Tech. Program, Govt. of India (2009-2011).
• Qualified Junior Research Fellowship and National Eligibility Test in Mathematical Sciences (2011), A.I.R. - 38.
• Qualified Graduate Aptitude Test for Engineering in Mathematics (2012), A.I.R. - 244

• S. Singh, R.C. Mittal, “High-fidelity simulations for Turing pattern formation in multi-dimensional Gray-Scott reaction-diffusion system” (2022).
• S. Singh, M. Battiato, V. Kumar, “Numerical simulation for spatiotemporal pattern formation in nonlinear coupled reaction-diffusion systems” (2022).
• S. Singh, M. Battiato, “Numerical investigation of shock Mach number effects on convergent Richtmyer-Meshkov instability in a heavy square bubble” (2022).
• S. Singh, “Investigation of aspect ratio effects on flow-characteristics and vorticity generation in shock-induced rectangular bubble” (2022).

• S. Singh, M. Torrilhon, “On the shock-driven hydrodynamic instability in square and rectangular light gas bubbles: a comparative study from numerical simulations”, Physics of Fluids, 35, 012117 (2023).

• A.K. Shukla, M.K. Awasthi, S. Singh, “Impact of heat and mass transport on Rayleigh–Taylor instability of Walter’s B viscoelastic fluid layer”, Microgravity Science and Technology, 35, 3 (2023).

• S. Singh, M. Battiato, “Numerical simulations of Richtmyer-Meshkov instability of SF6 square bubble in diatomic and polyatomic gases”, Computers & Fluids, 242, 105502 (2022).

• S. Singh, A. Karchani, T. Chourushi, R.S. Myong, “A three-dimensional modal discontinuous Galerkin method for second-order Boltzmann-Curtiss constitutive models of rarefied and microscale gas flows”, Journal of Computational Physics, 457, 111052 (2022).

• T. Chourushi, A. Rahimi, S. Singh, O. Ejethadi, T.K. Mankodi, R.S. Myong, “Thermal and flow characteristics of nonequilibrium monatomic, diatomic and polyatomic gases in a cylindrical Couette flow based on the second-order non-Navier-Fourier constitutive model”, International Journal of Heat and Mass Transfer, 187, 122580 (2022).

• T. Chourushi, S. Singh, A.S. Vishnu, R.S. Myong, “Computational study of hypersonic rarefied gas flow over re-entry vehicles using the second-order Boltzmann-Curtiss constitutive model”, International Journal of Computational Fluid Dynamics, 35(8), 566–593 (2022).

• S. Singh, M. Battiato, “Explicit Modal Discontinuous Galerkin Approximations for Three-Dimensional Electronic Boltzmann Transport Equation”, under production in International Conference on Spectral High Order Methods, Springer LNCSE series (2022).

• S. Singh, “A mixed type modal discontinuous Galerkin approach for solving nonlinear reaction-diffusion equations”, under production in AIP Conference Proceedings (2022).

• S. Singh, “Contribution of Mach number to the evolution of Richtmyer-Meshkov instability induced by a shock-accelerated square light bubble”, Physical Review Fluids, 6, 104001 (2021).

• S. Singh, “Mixed-type discontinuous Galerkin approach for solving the generalized FitzHugh-Nagumo reaction-diffusion model”, International Journal of Applied and Computational Mathematics, 7, 207 (2021).

• S. Singh, “Numerical investigation of thermal non-equilibrium effects of diatomic and polyatomic gases on the shock-accelerated light square bubble using a mixed-type modal discontinuous Galerkin method”, International Journal of Heat and Mass Transfer, 179, 121708 (2021).

• S. Singh, M. Battiato, R.S. Myong, “Impact of bulk viscosity on flow morphology of shock-accelerated cylindrical light bubble in diatomic and polyatomic gases”, Physics of Fluids, 33, 066103 (2021).

• S. Singh, M. Battiato, “An explicit modal discontinuous Galerkin method for Boltzmann transport equation under electronic nonequilibrium conditions”, Computers & Fluids, 224, 104972 (2021).

• S. Singh, M. Battiato, “Behavior of a shock-accelerated heavy cylindrical bubble under non-equilibrium conditions of diatomic and polyatomic gases”, Physical Review Fluids, 6, 044001 (2021).

• S. Singh, “Role of Atwood number on flow morphology of a planar shock-accelerated square bubble: A numerical study”, Physics of Fluids, 32, 126112 (2020).

• S. Singh, M. Battiato, “Strongly out-of-equilibrium simulations for electron Boltzmann transport equation using explicit modal discontinuous Galerkin method”, International Journal of Applied and Computational Mathematics, 6, 133 (2020).

• S. Singh, M. Battiato, “Effect of strong electric fields on material responses: The Bloch oscillation resonance in high field conductivities”, Materials, 13(5), 1070 (2020).

• S. Singh, A. Karchani, K. Sharma, R.S. Myong, “Topological representation of the second-order constitutive model based on Boltzmann-Curtiss kinetic equation for diatomic and polyatomic gases”, Physics of Fluids, 32, 026104 (2020).

• T. Chourushi, A. Rahimi, S. Singh, R.S. Myong, “Computational simulation of near continuum external gas flows using the Navier-Stokes-Fourier equations with slip/jump conditions based on a modal discontinuous Galerkin method”, Advances in Aerodynamics, 2(8), 1-37 (2020).

• S. Singh, R.S. Myong, “Three-dimensional discontinuous Galerkin method for the second-order Boltzmann-Curtiss constitutive model for continuum-rarefied gas flows”, AIP Conference Proceedings, 2132, 060013 (2019).

• S. Singh, A. Karchani, R.S. Myong, “Nonequilibrium effects of diatomic and polyatomic gases on the shock-vortex interaction based on the second-order constitutive model of Boltzmann-Curtiss kinetic equation”, Physics of Fluids, 30, 016109 (2018).

• T. Chourushi, S. Singh, R.S. Myong, “Computational Study of Rarefied fl<color #00a2e8>ow inside a lid-driven cavity using a mixed modal discontinuous Galerkin Method”, Journal of Computational Fluids Engineering, 23 (3), 62-71 (2018).

• L. Prince Raj, S. Singh, A. Karchani, R.S. Myong, “A super-parallel mixed Galerkin method for the second-order Boltzmann based constitutive models of rarefied and microscale gases”, Computers & Fluids, 57, 146-163 (2017).

• S. Singh, R.S. Myong, “A Computational Study of Bulk Viscosity effects on Shock vortex interaction using Discontinuous Galerkin Method”, Journal of Computational Fluids Engineering, 22 (2), 86-95 (2017).

• R.S. Myong, H. Xiao, S. Singh, “A new near-equilibrium breakdown parameter based on the Rayleigh – Onsager dissipation function”, AIP Conference Proceedings, 1628, 527 (2014).