To increase the reliability of simulations by particle methods for incompressible viscous flow problems, convergence studies and improvements in accuracy are considered for a fully …
Y Imoto, D Tagami - JSIAM Letters, 2017 - jstage.jst.go.jp
Truncation errors are considered for approximate differential operators with a class of particle methods. Introducing sufficient conditions for the weight function and a regularity of …
Y Imoto - Japan Journal of Industrial and Applied Mathematics, 2020 - Springer
To facilitate the numerical analysis of particle methods, we derive truncation error estimates for the approximate operators in a generalized particle method. Here, a generalized particle …
Y Imoto - Applications of Mathematics, 2019 - Springer
Unique solvability and stability analysis is conducted for a generalized particle method for a Poisson equation with a source term given in divergence form. The general-ized particle …
ABSTRACT A generalized particle method is considered for convection-diffusion equations. In Imoto–Tagami [1], the generalized particle method has been introduced as a class of …
This paper considers several approximate operators used in a particle method based on a Voronoi diagram. We introduce and study our approximate operators on gradient and …
When introducing an implicit scheme in time based on the predictor-corrector method for the incompressible Navier–Stokes equations, we need to solve the pressure Poisson equation …
D TAGAMI - Book of Abstracts ENUMATH 2017 - bora.uib.no
Numerical analysis of a generalized particle method is considered for convection-diffusion equations. A generalized particle method have been introduced as a class of particle …