Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
On Godunov-type methods near low densities
Journal of Computational Physics
Numerical Navier-Stokes solutions from gas kinetic theory
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Gas-kinetic finite volume methods, flux-vector splitting, and artificial diffusion
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
High-Order Positivity-Preserving Kinetic Schemes for the Compressible Euler Equations
SIAM Journal on Numerical Analysis
Uniformly high order accurate essentially non-oscillatory schemes, III
Journal of Computational Physics
Projection dynamics in Godunov-type schemes
Journal of Computational Physics
Multidimensional dissipation for upwind schemes: stability and applications to gas dynamics
Journal of Computational Physics
Low-speed flow simulation by the gas-kinetic scheme
Journal of Computational Physics
Development of an improved Gas-Kinetic BGK scheme for inviscid and viscous flows
Journal of Computational Physics
Journal of Computational Physics
Gas-kinetic Theory Based Flux Splitting Method for Ideal Magnetohydrodynamics
Gas-kinetic Theory Based Flux Splitting Method for Ideal Magnetohydrodynamics
Advances in Engineering Software
Study on gas kinetic unified algorithm for flows from rarefied transition to continuum
Journal of Computational Physics
The kinetic scheme for the full-Burnett equations
Journal of Computational Physics
A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow
Journal of Computational Physics
Journal of Computational Physics
Gas-kinetic scheme for rarefied flow simulation
Mathematics and Computers in Simulation - Special issue: Discrete simulation of fluid dynamics in complex systems
Journal of Computational Physics
An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow
Journal of Computational Physics
A comparative study of the LBE and GKS methods for 2D near incompressible laminar flows
Journal of Computational Physics
A high-order gas-kinetic Navier-Stokes flow solver
Journal of Computational Physics
A unified gas-kinetic scheme for continuum and rarefied flows
Journal of Computational Physics
A unified gas kinetic scheme with moving mesh and velocity space adaptation
Journal of Computational Physics
Hi-index | 31.45 |
The recently developed Gas Kinetic Method (GKM) for computing fluid flow is enhanced with advanced reconstruction (interpolation) schemes to enable direct simulations of highly compressible transition and turbulence fields. Variants of Weighted Essentially Non-Oscillatory (WENO) reconstruction schemes of different orders of accuracy are implemented and examined along with more elementary van Leer method. The competing schemes are evaluated for their accuracy, efficiency and numerical stability. The computed results are compared against the Rapid Distortion Theory for the case of compressible shear turbulence and 'pressure-released' Burgers solution. In the case of decaying isotropic turbulence, the efficacy of the reconstruction schemes is evaluated by comparison against a 'gold standard' high-resolution simulation. The capabilities of the reconstruction schemes to capture linear, non-linear, pressure-released and viscous flow physics as well as solenoidal and dilatational features of the flow fields are established in isolation and combination. The most suitable WENO variant for integration with GKM is identified. Another important outcome of the study is the finding that temperature-interpolation is superior to energy-interpolation in avoiding negative temperatures arising due to the Gibbs phenomenon. Overall, this work advances the applicability of kinetic theory based GKM to a wider range of high Mach number flow physics.