Lietuvos Matematikos Rinkinys, 2012 In this paper the stationary Navier–Stokes system with non-homogeneous boundary condition is studied in domain which consists of two connected layers.
Kristina Kaulakytė
doaj +1 more source
Shape optimization for suppressing coherent structure of two-dimensional open cavity flow
Journal of Fluid Science and Technology, 2021 This paper presents an optimal design obtained as a shape optimization problem in a domain with a singular point. For shape optimization, the eigenvalue in Snapshot Proper Orthogonal Decomposition (Snapshot POD) is defined as a cost function.
Takashi NAKAZAWA +2 more
doaj +1 more source
Nonlocal Navier-Stokes problem with a small parameter [PDF]
, 2013 Initial nonlocal boundary value problems for a Navier-Stokes equation with a small parameter is considered. The uniform maximal regularity properties of the corresponding stationary Stokes operator, well-posedness of a nonstationary Stokes problem and ...
Shakhmurov, Veli B., Veli B Shakhmurov
core +1 more source
Analysis of a mathematical model related to Czochralski crystal growth
Abstract and Applied Analysis, 1998 This paper is devoted to the study of a stationary problem consisting of the Boussinesq approximation of the Navier–Stokes equations and two convection–diffusion equations for the temperature and concentration, respectively.
Petr Knobloch, Lutz Tobiska
doaj +1 more source
Proper Generalized Decomposition method for incompressible Navier–Stokes equations with a spectral discretization [PDF]
, 2013 http://dx.doi.org/10.1016/j.amc.2013.02.022Proper Generalized Decomposition (PGD) is a method which consists in looking for the solution to a problem in a separate form.
ALLERY, Cyrille +2 more
core +1 more source
Stationary Navier–Stokes equations with non-homogeneous boundary condition in the unbounded domain
Lietuvos Matematikos Rinkinys, 2011 In this paper the stationary Navier–Stokes system with non-homogeneous boundary condition is studied in the unbounded domain. The extension of the boundary value satisfying Leray’s inequality is constructed. Therefore the non-homogeneous boundary problem
Kristina Kaulakytė
doaj +1 more source
On the navier‐stokes equation with slip boundary conditions of friction type
Mathematical Modelling and Analysis, 2007 In this paper we deal with the boundary value problem for the stationary flow for Newtonian and incompressible fluid governed by the Navier‐Stokes equation with slip boundary conditions of friction type, mostly by means of variational inequalities. Among
Fouad Saidi
doaj +1 more source
Vorticity moments in four numerical simulations of the 3D Navier–Stokes equations [PDF]
, 2013 The issue of intermittency in numerical solutions of the 3D Navier–Stokes equations on a periodic box [0,L]3 is addressed through four sets of numerical simulations that calculate a new set of variables defined by Dm(t)=(ϖ−10Ωm)αm for 1≤m≤∞ where αm=2m ...
Vincenzi, Dario +16 more
core +1 more source
State-constrained optimal control of the stationary Navier-Stokes equations [PDF]
, 2022 In this paper, the optimal control problem of the stationary Navier-Stokes equations in the presence of state constraints is investigated. We prove the existence of an optimal solution and derive first order necessary optimality conditions.
de los Reyes, Juan Carlos +1 more
core +1 more source
Cruising speed of a cylindrical wing performing small translational-rotational oscillations
Учёные записки Казанского университета: Серия Физико-математические науки, 2022 This work considers the propulsive motion of a flapping wing of a circular cross section. The problem of harmonic translational-rotational oscillations of the wing with an arbitrary phase shift in a viscous incompressible fluid, the motion of which is ...
A.N. Nuriev
doaj +1 more source