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

Research output: Contribution to journalArticle

3 Scopus citations

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 1 2012

Keywords

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

ASJC Scopus subject areas

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

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