𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dissipative mechanism in Godunov-type schemes

✍ Scribed by Kun Xu; Zuowu Li

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
436 KB
Volume
37
Category
Article
ISSN
0271-2091

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Projection Dynamics in Godunov-Type Sche
Projection Dynamics in Godunov-Type Schemes
✍ Kun Xu; Jishan Hu πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 199 KB

There are two stages in the first-order Godunov-type schemes to update flow variables: the gas evolution stage for the numerical fluxes across a cell interface and the projection stage for the reconstruction of constant state inside each cell. Ideally, the evolution stage should be based on the exac

High resolution Godunov-type schemes wit
High resolution Godunov-type schemes with small stencils
✍ Vincent Guinot πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 610 KB

## Abstract Higher‐order Godunov‐type schemes have to cope with the following two problems: (i) the increase in the size of the stencil that make the scheme computationally expensive, and (ii) the monotony‐preserving treatments (limiters) that must be implemented to avoid oscillations, leading to s

On Godunov-Type Schemes for Magnetohydro
On Godunov-Type Schemes for Magnetohydrodynamics: 1. A Model System
✍ R.S Myong; P.L Roe πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 254 KB

In the light of recent analytical results on the MHD Riemann problem, Godunovtype numerical schemes for magnetohydrodynamics (MHD) are revisited. As the first step, a model system that exactly preserves the MHD hyperbolic singularities is considered. For this model, analytical results on shock waves

The Time-Line Interpolation Method for L
The Time-Line Interpolation Method for Large-Time-Step Godunov-Type Schemes
✍ Vincent Guinot πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 196 KB

This paper describes the use of the time-line interpolation procedure for the design of large-time-step, Godunov-type schemes for systems of hyperbolic conservation laws in one dimension. These schemes are based on a specific procedure to characterize the left and right states of the Riemann problem