Derivation of a Physically Based Hybrid Technique for the Solution of Source-Driven Time-Dependent Linear Boltzmann Equations

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3 Citations (Scopus)

Abstract

The article presents a novel kinetic method for the solution of time-dependent source-driven linear transport problems. As will be discussed, the method is based on a multigeneration representation of linear Boltzmann equations and is derived from physically grounded considerations. The technique is said to be hybrid since it combines together collisionless transport solutions and factorization techniques. The methodology is tested on systems with different scattering properties and shows very promising performance both in terms of accuracy and computational times.

Original languageEnglish (US)
Pages (from-to)23-39
Number of pages17
JournalTransport Theory and Statistical Physics
Volume41
Issue number1-2
DOIs
StatePublished - Jan 2012

Fingerprint

Linear Boltzmann Equation
Boltzmann equation
derivation
Factorization
factorization
Kinetics
Scattering
methodology
Methodology
kinetics
scattering
performance
time

Keywords

  • multicollisions
  • source pulsed problems
  • time-dependent linear transport theory

ASJC Scopus subject areas

  • Applied Mathematics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Transportation

Cite this

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AB - The article presents a novel kinetic method for the solution of time-dependent source-driven linear transport problems. As will be discussed, the method is based on a multigeneration representation of linear Boltzmann equations and is derived from physically grounded considerations. The technique is said to be hybrid since it combines together collisionless transport solutions and factorization techniques. The methodology is tested on systems with different scattering properties and shows very promising performance both in terms of accuracy and computational times.

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