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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 &#...
A Robust and Accurate LED-BGK Solver on Unstructured Adaptive Meshes
Robust and Accurate LED-BGK Solver Unstructured Adaptive Meshes
2015/7/2
Starting from the BGK model of the Boltzmann equation, we develop a robust and accurate finite volume gas kinetic scheme on unstructured triangular meshes.
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...
An accurate LED-BGK solver on unstructured adaptive meshes (Local Extremum Diminishing interpolation)
accurate LED-BGK solver unstructured adaptive meshes Local Extremum Diminishing interpolation
2015/7/1
Starting from the collisional BGK model of the full Boltzmann equation, we develop an accurate and robust finite volume gas kinetic scheme on an unstructured triangular mesh. The numerical approach is...
On the construction of BGK-type schemes for compressible flow simulations
construction BGK-type schemes compressible flow simulations
2015/7/1
Following van Leer's MUSCL idea, a numerical scheme can be regarded as consisting of two key steps: a reconstruction step followed by a gas evolution step. We present a gas-kinetic method based on the...
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...
为克服动能BGK格式计算耗时多、收敛慢的缺点，在格式中引入当地时间步长、隐式LU-SGS方法和多重网格技术，基于RAE2822翼型粘性跨声速绕流的数值模拟，对其收敛性的改善进行了研究。结果表明：上述3种加速手段对求解定常问题时的收敛性有明显的改善，达到定常解所需的迭代步数随着CFL数的提高而减少；因而求解某类问题时，隐式格式比显式格式更具优势；多重网格既适用于显式格式，也适用于隐式格式，加速性...