277 citations · 355 across the 7 of their papers we have counts for
7 papers
An explicit and non-iterative moving-least-squares immersed-boundary method with low boundary velocity error
Wenyuan Chen, Shufan Zou, Qingdong Cai +1
In this work, based on the moving-least-squares immersed boundary method, we proposed a new technique to improve the calculation of the volume force representing the body boundary.…
Solving Differential Equation with Constrained Multilayer Feedforward Network
Zeyu Liu, Yantao Yang, Qing-Dong Cai
In this paper, we present a novel framework to solve differential equations based on multilayer feedforward network. Previous works indicate that solvers based on neural network ha…
A velocity-space adaptive unified gas kinetic scheme for continuum and rarefied flows
Tianbai Xiao, Kun Xu, Qingdong Cai
In this paper, a unified gas kinetic scheme with adaptive velocity space (AUGKS) for multiscale flow transport will be developed. In near-equilibrium flow regions, particle distrib…
An investigation of non-equilibrium heat transport in a gas system under external force field
Tianbai Xiao, Kun Xu, Qingdong Cai +1
The gas dynamics under external force field is essentially associated with multiple scale nature due to the large variations of density and local Knudsen number. Single scale fluid…
A Well-Balanced Unified Gas-Kinetic Scheme for Multiscale Flow Transport Under Gravitational Field
Tianbai Xiao, Qingdong Cai, Kun Xu
The gas dynamics under gravitational field is usually associated with the multiple scale nature due to large density variation and a wide range of local Knudsen number. It is chal-…
A Unified Gas-kinetic Scheme for Continuum and Rarefied Flows IV: full Boltzmann and Model Equations
Chang Liu, Kun Xu, Quanhua Sun +1
Fluid dynamic equations are valid in their respective modeling scales. With a variation of the modeling scales, theoretically there should have a continuous spectrum of fluid dynam…
A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models
Songze Chen, Kun Xu, Qingdong Cai
The Ellipsoidal Statistical model (ES-model) and the Shakhov model (S-model) are constructed for the correction of Prandtl number of the original BGK model through the modification…