scholarly journals Numerical Methods for Computing an Averaged Matrix Field. Application to the Asymptotic Analysis of a Parabolic Problem with Stiff Transport Terms

2019 ◽  
Vol 17 (1) ◽  
pp. 531-551
Author(s):  
Thomas Blanc
Keyword(s):  
Numerical Methods ◽  
Asymptotic Analysis ◽  
Parabolic Problem ◽  
Field Application

NUCLEAR COLLISIONS MODELS WITH BOLTZMANN OPERATORS

2000 ◽  
Vol 10 (04) ◽  
pp. 479-505 ◽  
Author(s):  
S. DELLACHERIE ◽  
R. SENTIS
Keyword(s):  
Numerical Methods ◽  
Asymptotic Analysis ◽  
Numerical Results ◽  
Nuclear Collisions

We describe a model related to nuclear collisions using Boltzmann operators. An asymptotic analysis is performed concerning the gain operator for the outgoing particles. Some numerical methods related to this model are also described and numerical results are given.

Asymptotic analysis of a multiscale parabolic problem with a rough fast oscillating interface

2018 ◽  
Vol 89 (3) ◽  
pp. 437-465 ◽  
Author(s):  
Patrizia Donato ◽  
Editha C. Jose ◽  
Daniel Onofrei
Keyword(s):  
Asymptotic Analysis ◽  
Parabolic Problem

Analytical and Numerical Study of the Evaporation of a Single Fuel Droplet With a Vaporized Fuel Background

2008 ◽  
Author(s):  
Mehdi Abarham ◽  
Indrek S. Wichman
Keyword(s):  
Boundary Condition ◽  
Numerical Methods ◽  
Asymptotic Analysis ◽  
Numerical Study ◽  
Droplet Evaporation ◽  
Vapor Condensation ◽  
Stage I ◽  
Fuel Vapor ◽  
Fuel Droplet ◽  
Evaporation Stage

A simplified set of equations is examined for the problem of droplet evaporation. The equations employ the Clausius-Clapeyron boundary condition for the surface fuel-vapor condensation, which is responsible for numerous interesting mathematical behaviors, including the existence of an initial condensation stage followed by the classical d2-evaporation stage. Numerical methods of analysis are used, in conjunction with asymptotic analysis of each stage: (I) condensation; (II) transition; (III) evaporation. Comparisons are made with previous experiments. A brief discussion is provided of effective droplet evaporation in partial condensation environments.

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