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A residual-based compact scheme of optimal order for hyperbolic problems

✍ Scribed by Christophe Corre; Alain Lerat

Book ID
104015125
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
675 KB
Volume
41
Category
Article
ISSN
0045-7930

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✦ Synopsis

A new fourth-order dissipative scheme on a compact 3 Γ‚ 3 stencil is presented for solving 2D hyperbolic problems. It belongs to the family of previously developed residual-based compact schemes and can be considered as optimal since it offers the maximum achievable order of accuracy on the 3 Γ‚ 3-point stencil. The computation of 2D scalar problems demonstrates the excellent accuracy and efficiency properties offered by this new RBC scheme with respect to existing second-and third-order versions.

πŸ“œ SIMILAR VOLUMES

A Residual-Based Compact Scheme for the
A Residual-Based Compact Scheme for the Compressible Navier–Stokes Equations
✍ Alain Lerat; Christophe Corre πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 421 KB

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 dissi