Solution of the one-velocity transport equation using the ivon-mertens approximation

Nikolaishvili, S. Sh.

doi:10.1007/bf01115196

Search citation statements

Order By: Relevance

Paper Sections

Select...

Hierarchy Of Equations Of Multilevel Methods For Bsm1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2001

2021

Publication Types

Select...

Article2

Other1

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They can be viewed as nonlinear DP 1 equations with exact closures. This approach has been applied to formulate Yvon-Mertens (YM) method for the linear Boltzmann equation [20]. Hereafter these equations are referred to as the low-order YM (LOYM) equations.…”

Section: Hierarchy Of Equations Of Multilevel Methods For Bsmmentioning

confidence: 99%

Multilevel Iteration Method for Binary Stochastic Transport Problems

Anistratov

2021

Preprint

View full text Add to dashboard Cite

This paper presents an iteration method for solving linear particle transport problems in binary stochastic mixtures. It is based on nonlinear projection approach. The method is defined by a hierarchy of equations consisting of the high-order transport equation for materials, low-order Yvon-Mertens equations for conditional ensemble average of the material partial scalar fluxes, and low-order quasidiffusion equations for the ensemble average of the scalar flux and current. The multilevel system of equations is solved by means of an iterative algorithm with the V -cycle. The iteration method is analyzed on a set of numerical test problems.

show abstract

Section: Hierarchy Of Equations Of Multilevel Methods For Bsmmentioning

confidence: 99%