A Cartesian grid-based unified gas kinetic scheme

2014 ◽  
Author(s):  
Songze Chen ◽  
Kun Xu
Keyword(s):  
Kinetic Scheme ◽  
Cartesian Grid ◽  
Unified Gas Kinetic Scheme ◽  
Grid Based

Discrete unified gas kinetic scheme simulation of microflows with complex geometries in Cartesian grid

2021 ◽  
Vol 33 (4) ◽  
pp. 042005
Author(s):  
Qing He ◽  
Shi Tao ◽  
Xiaoping Yang ◽  
Weijian Lu ◽  
Zongrun He
Keyword(s):  
Kinetic Scheme ◽  
Cartesian Grid ◽  
Complex Geometries ◽  
Unified Gas Kinetic Scheme

scholarly journals Large-eddy simulation of wall-bounded turbulent flow with high-order discrete unified gas-kinetic scheme

2020 ◽  
Vol 2 (1) ◽  
Author(s):  
Rui Zhang ◽  
Chengwen Zhong ◽  
Sha Liu ◽  
Congshan Zhuo
Keyword(s):  
Turbulent Flow ◽  
Turbulent Flows ◽  
Parallel Implementation ◽  
Kinetic Scheme ◽  
Cavity Flow ◽  
Equilibrium Distribution Function ◽  
Third Order ◽  
Two Stage ◽  
Large Eddy ◽  
Unified Gas Kinetic Scheme

AbstractIn this paper, we introduce the discrete Maxwellian equilibrium distribution function for incompressible flow and force term into the two-stage third-order Discrete Unified Gas-Kinetic Scheme (DUGKS) for simulating low-speed turbulent flows. The Wall-Adapting Local Eddy-viscosity (WALE) and Vreman sub-grid models for Large-Eddy Simulations (LES) of turbulent flows are coupled within the present framework. Meanwhile, the implicit LES are also presented to verify the effect of LES models. A parallel implementation strategy for the present framework is developed, and three canonical wall-bounded turbulent flow cases are investigated, including the fully developed turbulent channel flow at a friction Reynolds number (Re) about 180, the turbulent plane Couette flow at a friction Re number about 93 and lid-driven cubical cavity flow at a Re number of 12000. The turbulence statistics, including mean velocity, the r.m.s. fluctuations velocity, Reynolds stress, etc. are computed by the present approach. Their predictions match precisely with each other, and they are both in reasonable agreement with the benchmark data of DNS. Especially, the predicted flow physics of three-dimensional lid-driven cavity flow are consistent with the description from abundant literature. The present numerical results verify that the present two-stage third-order DUGKS-based LES method is capable for simulating inhomogeneous wall-bounded turbulent flows and getting reliable results with relatively coarse grids.

scholarly journals Discrete unified gas kinetic scheme on unstructured meshes

2016 ◽  
Vol 127 ◽  
pp. 211-225 ◽  
Author(s):  
Lianhua Zhu ◽  
Zhaoli Guo ◽  
Kun Xu
Keyword(s):  
Kinetic Scheme ◽  
Unstructured Meshes ◽  
Unified Gas Kinetic Scheme
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