𝔖 Bobbio Scriptorium
✦   LIBER   ✦

EFFICIENT COMPUTATIONS USING UPWIND BIASED SCHEMES

✍ Scribed by C. DE NICOLA; G. IACCARINO; R. TOGNACCINI


Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
809 KB
Volume
22
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

✦ Synopsis


A new multiblock unfactored implicit upwind scheme for inviscid two-dimensional flow calculations is presented. Spatial discretization is carried out by means of an upwind first-order method; an original extension to higher accuracy is also presented. The integration algorithm is constructed in a delta form that provides a direct derivation of the scheme and leads to an efficient computational method. Fast solutions of the linear systems arising at each time step are obtained by means of the bi-conjugate gradient stabilized technique. The computational results for super/hypersonic steady state flows illustrate the efficiency and accuracy of the algorithm.


πŸ“œ SIMILAR VOLUMES


Wavenumber-Extended High-Order Upwind-Bi
✍ Yuguo Li πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 710 KB

decade as they provide less numerical dissipation and do not require a kinetic energy conservation property to con-This paper proposes some new wavenumber-extended high-order upwind-biased schemes. The dispersion and dissipation errors trol the aliasing error . In general, although the highof upwind

Artificial Windβ€”A New Framework to Const
✍ Igor' V. Sokolov; Eugene V. Timofeev; Jun-ichi Sakai; Kazuyoshi Takayama πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 429 KB

Using a concept of artificial wind having its roots in the Galilean invariance of hydrodynamic equations, we propose a new framework to design upwind shockcapturing schemes. Its application results in simple, efficient, and accurate schemes retaining their simplicity for a broad range of hydrodynami

Efficient Characteristic Projection in U
✍ Ronald P. Fedkiw; Barry Merriman; Stanley Osher πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 208 KB

The standard construction of upwind difference schemes for hyperbolic systems of conservation laws requires the full eigensystem of the Jacobian matrix. This system is used to define the transformation into and out of the characteristic scalar fields, where upwind differencing is meaningful. When th