An asymptotic preserving kinetic scheme for the M1 model of linear transport
Idioma
en
Document de travail - Pré-publication
Este ítem está publicado en
2023-04-13
Resumen en inglés
Moment models with suitable closure can lead to accurate and computationally efficient solvers for particle transport. Hence, we propose a new asymptotic preserving scheme for the M1 model of linear transport that works ...Leer más >
Moment models with suitable closure can lead to accurate and computationally efficient solvers for particle transport. Hence, we propose a new asymptotic preserving scheme for the M1 model of linear transport that works uniformly for any Knudsen number. Our idea is to apply the M1 closure at the numerical level to an existing asymptotic preserving scheme for the corresponding kinetic equation, namely the Unified Gas Kinetic scheme (UGKS) originally proposed in [27] and extended to linear transport in [24]. In order to ensure the moments realizability in this new scheme, the UGKS positivity needs to be maintained. We propose a new density reconstruction in time to obtain this property. A second order extension is also suggested and validated. Several test cases show the performances of this new scheme.< Leer menos
Palabras clave en inglés
linear transport UGKS M1 closure asymptotic preserving scheme diffusion limit
linear transport
UGKS
M1 closure
asymptotic preserving scheme
diffusion limit
Orígen
Importado de HalCentros de investigación