3 papers
math.NA2025
A universal preprocessing algorithm of average kernel method with Gauss-Laguerre quadrature for double integrals
Kejun Pan, Mingliang Xie
To address the computational challenges posed by nonlinear collision kernels in the Smoluchowski equation, this study proposes a universal preprocessing algorithm for the average k…
cs.CE2025
The computation of average kernel with Gauss-Laguerre quadrature for double integrals
Kejun Pan, Mingliang Xie
The use of average kernel method based on the Laplace transformation can significantly simplify the procedure for obtaining approximate analytical solution of Smoluchowski equation…
physics.flu-dyn2025
The evolution of nanoparticles due to Brownian coagulation in the temporal mixing layer with AK-iDNS over a long time
Kejun Pan, Mingliang Xie
In this article, the evolution of nanoparticles in a two-dimensional temporal mixing layer over a long time is investigated. the flow field is calculated with direct numerical simu…