Karan S. Surana

Karan Surana
  • Deane E. Ackers Distinguished Professor

Contact Info

Office Phone:
Learned Hall, room #3122



Computational mathematics and computational mechanics: Mathematics of computations, methods of approximations with emphasis on finite element processes, error estimation, convergence rates and adaptivity. Development of concepts, methodologies, techniques, formulations, algorithms, software systems, and computational methods in different areas of continuum mechanics involving solids, fluids and gases. Computational solid mechanics, fluid dynamics and gas dynamics: Incompressible Newtonian and generalized Newtonian fluid flows, high speed compressible flows including high pressure, high temperature gas dynamics with real gas models and variable transport properties, flows of polymeric viscoelastic fluids using various constitutive models. Solid mechanics, structural mechanics, composite mechanics and viscoelastic solid mechanics. Delamination, free edge effects, intermedia behavior, damping assessment and damage mechanics in composites. Impact and wave propagation Continuum mechanics: Mathematical models for multi-physics inter-action processes such as fluid-solid, mixture theories, shape memory materials. Development of constitutive theories

Research interests:

  • Computational mathematics
  • computational mechanics
  • Mathematics of computations
  • methods of approximations
  • finite element processes
  • error estimation
  • convergence rates
  • adaptivity
  • continuum mechanics
  • solid mechanics, fluid dynamics
  • gas dynamics
  • multi-physics inter-action
  • constitutive theories

Selected Publications

Reddy, J. N., and K. S. Surana. “K-Version of FEM and Unconditionally Stable Computational Processes.” Periodicals (newsletter, magazine, etc.). IACM Expressions, 2016.
Surana, K. S. Advanced Mechanics of Continua. Books. CRC Press/Taylor & Francis Group, 2015.
Surana, K. S., K. P.J Reddy, A. D. Joy, and J. N. Reddy. “Riemann Shock Tube: 1D Normal Shocks in Air, Simulation and Experiments.” Journal Articles. International Journal of Computational Fluid Dynamics 28, no. 6–10 (2014): 251–71.