3 papers
math.NA2026
Accelerated iterative method for solving the steady-state Boltzmann equation
Pei Zhang, Zhenning Cai, Yanli Wang
The efficient simulation of steady-state rarefied gas flows remains a significant computational challenge due to the high dimensionality of the collision integral and the severe nu…
math.NA2026
Asymptotic Analysis of Shallow Water Moment Equations
Mieke Daemen, Julio Careaga, Zhenning Cai +1
The Shallow Water Moment Equations (SWME) are an extension of the Shallow Water Equations (SWE) for improved modelling of free-surface flows. In contrast to the SWE, the SWME incor…
math.NA2025
A fast Fourier spectral method for the linearized Boltzmann collision operator
Tianai Yin, Zhenning Cai, Yanli Wang
We introduce a fast Fourier spectral method to compute linearized collision operators of the Boltzmann equation for variable hard-sphere gases. While the state-of-the-art method pr…