Piecewise parabolic method on local stencil for gasdynamic simulations

2007 ◽  
Vol 47 (12) ◽  
pp. 1970-1989 ◽  
Author(s):  
M. V. Popov ◽  
S. D. Ustyugov
Keyword(s):  
Piecewise Parabolic ◽  
Local Stencil

scholarly journals Piecewise parabolic method on a local stencil for magnetized supersonic turbulence simulation

2009 ◽  
Vol 228 (20) ◽  
pp. 7614-7633 ◽  
Author(s):  
Sergey D. Ustyugov ◽  
Mikhail V. Popov ◽  
Alexei G. Kritsuk ◽  
Michael L. Norman
Keyword(s):  
Turbulence Simulation ◽  
Piecewise Parabolic ◽  
Local Stencil

Transient Radiative Transfer in Anisotropically Scattering Media Using Monotonicity-Preserving Schemes

2000 ◽  
Author(s):  
M. Sakami ◽  
K. Mitra ◽  
P.-F. Hsu
Keyword(s):  
Radiative Transfer ◽  
Research Work ◽  
Discrete Ordinates ◽  
Scattering Media ◽  
Discrete Ordinates Method ◽  
Piecewise Parabolic ◽  
Phase Functions ◽  
Monotonicity Preserving ◽  
Made In ◽  
Thick Medium

Abstract This research work deals with the analysis of transient radiative transfer in one-dimensional scattering medium. The time-dependant discrete ordinates method was used with an upwind monotonic scheme: the piecewise parabolic scheme. This scheme was chosen over a total variation diminishing version of the Lax-Wendroff scheme. These schemes were originally developed to solve Eulerian advection problem in hydrodynamics. The capability of these schemes to handle sharp discontinuity in a propagating electromagnetic wave front was compared. The accuracy and the efficiency of the discrete ordinates method associated with the piecewise parabolic advection scheme were studied. Comparisons with Monte Carlo and integral formulation methods show the accuracy and the efficiency of this proposed method. Parametric study for optically thin and thick medium, different albedos and phase functions is then made in the unsteady state zone.

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