6 citations · 8 across the 5 of their papers we have counts for
5 papers
Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy
Junying Cao, Zhenning Cai
We introduce a high-order numerical scheme for fractional ordinary differential equations with the Caputo derivative. The method is developed by dividing the domain into a number o…
Burnett Spectral Method for High-Speed Rarefied Gas Flows
Zhicheng Hu, Zhenning Cai
We introduce a numerical solver for the spatially inhomogeneous Boltzmann equation using the Burnett spectral method. The modelling and discretization of the collision operator are…
Globally Hyperbolic Regularization of Grad's Moment System
Zhenning Cai, Yuwei Fan, Ruo Li
In this paper, we propose a globally hyperbolic regularization to the general Grad's moment system in multi-dimensional spaces. Systems with moments up to an arbitrary order are st…
The NRxx Method for Polyatomic Gases
Zhenning Cai, Ruo Li
In this paper, we propose a numerical regularized moment method to solve the Boltzmann equation with ES-BGK collision term to simulate polyatomic gas flows. This method is an exten…
Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
Zhenning Cai, Ruo Li
We introduce a numerical method for solving Grad's moment equations or regularized moment equations for arbitrary order of moments. In our algorithm, we do not need explicitly the…