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

abstract

• 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.

authors

• Reddy, Junuthula

published proceedings

• INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS

author list (cited authors)

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

citation count

• 2

publication date

• March 2009

publisher

• Taylor & Francis  Publisher

keywords

• 2-d Compressible Flow
• Carter's Plate
• Hpk Framework
• Navier-stokes Equations
• Variational Consistency

Digital Object Identifier (DOI)

• 10.1080/15502280802667666

start page

• 158

end page

• 171

volume

• 10

issue

• 2

URL

• http://dx.doi.org/10.1080/15502280802667666