Numerical Solutions of BVPs in 2-D Viscous Compressible Flows Using hpk Framework Academic Article uri icon


  • This paper presents numerical simulations of the two dimensional boundary value problems (BVPs) in viscous compressible flows using finite element method in hpk framework [1]-[2] in which the integral forms are variationally consistent (VC). The mathematical models utilize Navier-Stokes equations incorporating physical viscosity, conductivity and other transport properties. The finite element method based on hpk framework permits higher order global differentiability approximation and the variationally consistent integral forms [1]-[2] ensure unconditionally stable computations for all choices hpk and the dimensionless parameters in the mathematical models and thus do not require the use of upwinding methods such as SUPG/DC/LS [3]-[4]. Mach 1, 2, 3 and 5 flows over a flat plate (Carter's plate) is used as a model problems with ideal gas law.

author list (cited authors)

  • Allu, S., Surana, K. S., Romkes, A., & Reddy, J. N.

citation count

  • 1

publication date

  • March 2009