๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A smoothness/shock indicator for the RKDG methods

โœ Scribed by David Rumsey; Tong Sun

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
681 KB
Volume
23
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis

A smoothness/shock indicator is proposed for the RKDG methods solving nonlinear conservation laws. A few numerical experiments are presented as evidence that the indicator helps in detecting shocks, high order discontinuities, regions of smooth solutions, and numerical ''instability''.

๐Ÿ“œ SIMILAR VOLUMES

A Smoothness Indicator for Adaptive Algo
A Smoothness Indicator for Adaptive Algorithms for Hyperbolic Systems
โœ Smadar Karni; Alexander Kurganov; Guergana Petrova ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 242 KB

The formation of shock waves in solutions of hyperbolic conservation laws calls for locally adaptive numerical solution algorithms and requires a practical tool for identifying where adaption is needed. In this paper, a new smoothness indicator (SI) is used to identify "rough" solution regions and i

Smoothing Newton method for NCP with the
Smoothing Newton method for NCP with the identification of degenerate indices
โœ Haodong Yu; Dingguo Pu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 380 KB

We present a new smoothing Newton method for nonlinear complementarity problems (NCP(F)) by using an NCP function to reformulate the problem to its equivalent form. Compared with most current smoothing methods, our method contains an estimating technique based on the active-set strategy. This techni

A relativistic smoothed particle hydrody
A relativistic smoothed particle hydrodynamics method tested with the shock tube
โœ Patrick J. Mann ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 976 KB

The smoothed particle hydrodynamics method is applied to an ADM 3 + 1 formulation of the equations for relativistic fluid flow. In particular the one-dimensional shock tube is addressed. Three codes are described. The first is a straightforward extension of classic SPH, while the other two are modif

An efficient method for smoothing indica
An efficient method for smoothing indicator-dilution and other unimodal curves
โœ J.B. Bassingthwaighte; I.S. Chan; A.A. Goldstein ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 553 KB

A mathematical function has been developed for approximating unimodal functions, particularly those which are non-Gaussian, skewed. and incomplete. It is useful as an alternative to cubic splines in smoothing noisy experimental data. Particular applications are to indicator-dilution curves and proba