The first decade of unified gas kinetic scheme

TL;DR

This paper reviews the first decade of development of the unified gas kinetic scheme (UGKS), highlighting advancements in efficiency, memory reduction, and physical modeling for multiscale transport simulations.

Contribution

It provides a comprehensive overview of the evolution and extensions of UGKS over its first ten years, emphasizing methodological improvements.

Findings

Enhanced numerical techniques for UGKS

Improved efficiency and memory usage

Broader physical modeling capabilities

Abstract

In 2010, the unified gas kinetic scheme (UGKS) was proposed by Xu et al . (A unified gas-kinetic scheme for continuum and rarefied flows, Journal of Computational Physics, 2010). In the past decade, many numerical techniques have been developed to improve the capability of the UGKS in the aspects of efficiency increment, memory reduction, and physical modeling. The methodology of the direct modeling of the UGKS on discretization scale provides a general framework for construction of multiscale method for multiscale transport processes. This paper reviews the development and extension of the UGKS in its first decade.