Least-squares finite element models of two-dimensional compressible flows Academic Article uri icon


  • We present numerical simulation results for the compressible Euler equations and compressible Navier-Stokes equations using least-squares finite element models. Alternative least-squares formulations are first exemplified by a Poisson problem and ideas extended to the Euler and Navier-Stokes equations. For the compressible Navier-Stokes equations we introduce velocity gradients and heat fluxes as additional primary variables to arrive at an equivalent first-order system. The least-squares models developed herein are found to be effective for the high- and low-speed compressible flow regimes. © 2003 Elsevier B.V. All rights reserved.

author list (cited authors)

  • Pontaza, J. P., Diao, X. u., Reddy, J. N., & Surana, K. S.

citation count

  • 17

publication date

  • March 2004