27 citations · 110 across the 24 of their papers we have counts for
5 papers · 1 filter
A Convective Boundary Condition for the Navier-Stokes Equations: Existence Analysis and Numerical Implementations
John Sebastian H. Simon, Hirofumi Notsu
Due to computational complexity, fluid flow problems are mostly defined on a bounded domain. Hence, capturing fluid outflow calls for imposing an appropriate condition on the bound…
Maximizing Vortex for the Navier--Stokes Flow with a Convective Boundary Condition: A Shape Design Problem
John Sebastian H. Simon, Hirofumi Notsu
In this study, a shape optimization problem for the two-dimensional stationary Navier--Stokes equations with an artificial boundary condition is considered. The fluid is assumed to…
A mass-preserving two-step Lagrange-Galerkin scheme for convection-diffusion problems
Kouta Futai, Niklas Kolbe, Hirofumi Notsu +1
A mass-preserving two-step Lagrange-Galerkin scheme of second order in time for convection-diffusion problems is presented, and convergence with optimal error estimates is proved i…
Second-order finite difference approximations of the upper-convected time derivative
Debora O. Medeiros, Hirofumi Notsu, Cassio M. Oishi
In this work, new finite difference schemes are presented for dealing with the upper-convected time derivative in the context of the generalized Lie derivative. The upper-convected…
A Shape Optimization Problem Constrained with the Stokes Equations to Address Maximization of Vortices
John Sebastian H. Simon, Hirofumi Notsu
We study an optimization problem that aims to determine the shape of an obstacle that is submerged in a fluid governed by the Stokes equations. The mentioned flow takes place in a…