Least-squares finite element models of two-dimensional compressible flows

Authors:
J. P. Pontaza;Xu Diao;J. N. Reddy;K. S. Surana
Affiliations:
Department of Mechanical Engineering, Texas A&M University, College Station, TX;Institute of High Performance Computing, 1 Science Park Road, #01-01 The Capricorn, Singapore Science Park II, Singapore;Department of Mechanical Engineering, Texas A&M University, College Station, TX;Department of Mechanical Engineering, The University of Kansas, Lawrence, KS
Venue:
Finite Elements in Analysis and Design
Year:
2004

Citing 6
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Abstract

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 regime.