Multiscale gas flows appear in many fields and have received particular attention in recent
years. It is challenging to model and simulate such processes due to the large span of …

With increasing engineering demands, there need high order accurate schemes embedded
with precise physical information in order to capture delicate small scale structures and …

The kinetic theory provides a physical basis for developing multiscale methods for gas flows
covering a wide range of flow regimes. A particular challenge for kinetic schemes is whether …

This paper exploits the potential of a high-order implicit radial basis function-based
differential quadrature-finite volume (IRBFDQ-FV) method for effective simulation of inviscid …

Most high order computational fluid dynamics (CFD) methods for compressible flows are
based on Riemann solver for the flux evaluation and Runge–Kutta (RK) time stepping …

Due to the complexity and short timescale of detonation, it is usually difficult to capture its
transient characteristics experimentally. Advanced numerical methods are essential for …

In this paper, a fourth-order compact gas-kinetic scheme (GKS) is developed for the
compressible Euler and Navier–Stokes equations under the framework of two-stage fourth …

The unified gas-kinetic scheme (UGKS) is a direct modeling method for multiple scale
transport. Based on the ratio of time step to the particle collision time, the local evolution …

In this paper, a class of compact higher-order gas-kinetic schemes (GKS) with spectral-like
resolution will be presented. Based on the high-order gas evolution model, both the flux …

This Element presents a unified computational fluid dynamics framework from rarefied to
continuum regimes. The framework is based on the direct modelling of flow physics in a …