4 citations · 4 across the 5 of their papers we have counts for
7 papers
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 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…
Computing with vortices: Bridging fluid dynamics and its information-processing capability
Ken Goto, Kohei Nakajima, Hirofumi Notsu
Herein, the Karman vortex system is considered to be a large recurrent neural network, and the computational capability is numerically evaluated by emulating nonlinear dynamical sy…
Chaos in nanomagnet via feedback current
Tomohiro Taniguchi, Nozomi Akashi, Hirofumi Notsu +3
Nonlinear magnetization dynamics excited by spin-transfer effect with feedback current is studied both numerically and analytically. The numerical simulation of the Landau-Lifshitz…
Analysis of a projection method for the Stokes problem using an -Stokes approach
Masato Kimura, Kazunori Matsui, Adrian Muntean +1
We generalize pressure boundary conditions of an -Stokes problem. Our -Stokes problem connects the classical Stokes problem and the corresponding pressure…