A deterministic numerical scheme for an electron heat transport model

Article Physics, Fluids & Plasmas

Analysis of a kinetic model for electron heat transport in inertial confinement fusion plasmas

A. Chrisment et al.

Summary: This article explores the methods and limitations of determining the electron heat flux density on a macroscopic scale. The widely used diffusion equation approach is limited to transport induced by temperature gradients and does not account for other sources of fast electrons. Therefore, alternative reduced kinetic models have become the focus of research.

PHYSICS OF PLASMAS (2022)

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Review Computer Science, Interdisciplinary Applications

A Review of Domain Decomposition Methods for Simulation of Fluid Flows: Concepts, Algorithms, and Applications

H. S. Tang et al.

Summary: Domain decomposition methods are powerful approaches for numerically solving partial differential equations, especially in simulations of fluid flows. Research in this area has made significant progress over the past forty years, with this paper providing a comprehensive review of the development and current status, as well as potential directions for future studies.

ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING (2021)

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Article Computer Science, Interdisciplinary Applications

Implicit reduced Vlasov-Fokker-Planck-Maxwell model based on high-order mixed elements

Jan Nikl et al.

Summary: The article proposes a multi-dimensional conservative implicit Vlasov-Fokker-Planck-Maxwell method that approximates the distribution function using a truncated Cartesian tensor expansion, modeling the electric and magnetic fields self-consistently to describe the generation process and emergence of non-locality in detail. The method ensures conservation properties through the spatial order proportional to the polynomial order of the finite elements, and benchmark tests on specific problems show second order convergence in the velocity direction.

JOURNAL OF COMPUTATIONAL PHYSICS (2021)

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Article Physics, Fluids & Plasmas