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A Residual-Based Compact Scheme for the Compressible Navier–Stokes Equations

✍ Scribed by Alain Lerat; Christophe Corre

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
421 KB
Volume
170
Category
Article
ISSN
0021-9991

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✦ Synopsis

A simple and efficient time-dependent method is presented for solving the steady compressible Euler and Navier-Stokes equations with third-order accuracy. Owing to its residual-based structure, the numerical scheme is compact without requiring any linear algebra, and it uses a simple numerical dissipation built on the residual. The method contains no tuning parameter. Accuracy and efficiency are demonstrated for 2-D inviscid and viscous model problems. Navier-Stokes calculations are presented for a shock/boundary layer interaction, a separated laminar flow, and a transonic turbulent flow over an airfoil.

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