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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal for Computational Methods in Engineering Science and Mechanics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
