𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Extension of the Piecewise Parabolic Method to One-Dimensional Relativistic Hydrodynamics

✍ Scribed by José Ma Martı́; Ewald Müller

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
329 KB
Volume
123
Category
Article
ISSN
0021-9991

No coin nor oath required. For personal study only.

✦ Synopsis

form of the RHD equations. One advantage of this approach is the possibility of using numerical techniques specially de-An extension to 1D relativistic hydrodynamics of the piecewise parabolic method (PPM) of Colella and Woodward using an exact signed to solve nonlinear hyperbolic systems of conservation relativistic Riemann solver is presented. Results of several tests laws [9]. In fact, the codes described in Refs. [9, 12, 15] and involving ultrarelativistic flows, strong shocks and interacting disthe code HLLE of [14] are based on Godunov-type methods and continuities are shown. A comparison with Godunov's method deman implementation of different approximate Riemann solvers onstrates that the main features of PPM are retained in our relativis-(readers lacking knowledge of Godunov-type methods and Rietic version.

📜 SIMILAR VOLUMES

Minimum time-step criteria for the Galer
Minimum time-step criteria for the Galerkin finite element methods applied to one-dimensional parabolic partial differential equations
✍ Chaodong Yang; Yongan Gu 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 485 KB 👁 1 views

## Abstract The finite element method has been well established for numerically solving parabolic partial differential equations (PDEs). Also it is well known that a too large time step should not be chosen in order to obtain a stable and accurate numerical solution. In this article, accuracy analy

Application of the Filter Diagonalizatio
Application of the Filter Diagonalization Method to One- and Two-Dimensional NMR Spectra
✍ Vladimir A. Mandelshtam; Howard S. Taylor; A.J. Shaka 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 152 KB

A new non-Fourier data processing algorithm, the filter diagonalization method (FDM), is presented and applied to phase-sensitive 1D and 2D NMR spectra. FDM extracts parameters (peak positions, linewidths, amplitudes, and phases) directly from the time-domain data by fitting the data to a sum of dam

On the extension of Ewald's method to pe
On the extension of Ewald's method to periodic structures in layered media
✍ Y. X. Yu; C. H. Chan 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB 👁 2 views

In this paper, we demonstrate that Ewald's method can be employed to speed up the con¨ergence of complex images as well as quasidynamic images in the spatial-domain Green's function of planar periodic structures in layered media. A comparison of the con¨ergence speed of Ewald's method ¨ersus spectra