High Order Finite Element Discretization of the Compressible Euler and Navier-Stokes Equations
Name
FDRL_TR-01-1.pdf
Size
384.15 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Wong, J. S.
Darmofal, D. L.
Peraire, J.
Date Issued
April 2001
Publisher
Aerospace Computational Design Laboratory, Dept. of Aeronautics & Astronautics, Massachusetts Institute of Technology
Series/Report no.
ACDL Technical Reports;FDRL TR-01-1
Abstract
We present a high order accurate streamline-upwind/Petrov-Galerkin (SUPG) algorithm for the solution of the compressible Euler and Navier-Stokes equations. The flow equations are written in terms of entropy variables which result in symmetric flux Jacobian matrices and a dimensionally consistent Finite Element discretization. We show that solutions derived from quadratic element approximation are of superior quality next to their linear element counterparts. We demonstrate this through numerical solutions of both classical test cases as well as examples more practical in nature.
Subjects
Euler and Navier-Stokes equations
Petrov-Galerkin
entropy variables
symmetric flux jacobian matrices
high order accuracy
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