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An improved gas-kinetic BGK finite-volume method for three-dimensional transonic flow
Navier–Stokes equations BGK equation Kinetic scheme Finite-volume scheme
2015/7/2
During the past decade gas-kinetic methods based on the BGK simplification of the Boltzmann equation have been employed to compute fluid flow in a finite-difference or &#...
ANALYSIS AND IMPLEMENTATION OF THE GAS-KINETIC BGK SCHEME FOR COMPUTATIONAL GAS DYNAMICS
gas evolution model gas-kinetic BGK schemes entropy condition gas-kinetic Lax±Wendroff ˉux
2015/7/1
Gas-kinetic schemes based on the BGK model are proposed as an alternative evolution model which can cure some of the limitations of current Riemann solvers. To analyse the schemes, simple advection eq...
Analysis and Design of Numerical Schemes for Gas Dynamics 2 Artificial Diffusion and Discrete Shock Structure
Numerical Schemes Gas Dynamics Discrete Shock Structure
2015/7/1
The effect of artificial diffusion on discrete shock structures is examined for a family of schemes which includes scalar diffusion, convective upwind and split pressure (CUSP)...
Analysis and Design of Numerical Schemes for Gas Dynamics 1 Artificial Diffusion, Upwind Biasing, Limiters and Their Effect on Accuracy and Multigrid Convergence
Design of Numerical Schemes Gas Dynamics usion Upwind Biasing Limiters Accuracy Multigrid Convergence
2015/7/1
The theory of non-oscillatory scalar schemes is developed in this paper in terms of the local extremum diminishing (LED) principle that maxima should not increase and minima should not decrease. This ...
Gas-Kinetic Relaxation (BGK-Type) Schemes for the Compressible Euler Equations
Gas-Kinetic Relaxation (BGK-Type) Schemes Compressible Euler Equations
2015/7/1
Starting from the gas-kinetic model, a new class of relaxation schemes for the Euler equations are presented. Instead of linerizing the Euler equa-tions into a few simple waves, the new flow solvers a...
Euler Multigrid Calculations Using a Gas-Kinetic Scheme
Euler Multigrid Calculations Gas-Kinetic Scheme
2015/7/1
St,arting from the BGI< model [I], anew gas-kinetic scheme is developed for computing st,ea.tly st,at,e so-lutions to the Eiiler eqitations. T11c discret.iaat,ioii has been implemented in a well devol...