Shape derivatives for general objective functions and the incompressible Navier-Stokes equations
Shape existence in Navier-Stokes flow with heat convection
Shape Hessian for generalized Oseen flow by differentiability of a minimax: A Lagrangian approach
The goal of this paper is to compute the shape Hessian for a generalized Oseen problem with nonhomogeneous Dirichlet boundary condition by the velocity method. The incompressibility will be treated by penalty approach. The structure of the shape gradient and shape Hessian with respect to the shape of the variable domain for a given cost functional are established by an application of the Lagrangian method with function space embedding technique.
Shape optimization for a time-dependent model of a carousel press in glass production
This contribution presents the shape optimization problem of the plunger cooling cavity for the time dependent model of pressing the glass products. The system of the mould, the glass piece, the plunger and the plunger cavity is considered in four consecutive time intervals during which the plunger moves between 6 glass moulds. The state problem is represented by the steady-state Navier-Stokes equations in the cavity and the doubly periodic energy equation in the whole system, under the assumption...
Shape optimization for Stokes problem with threshold slip
We study the Stokes problems in a bounded planar domain with a friction type boundary condition that switches between a slip and no-slip stage. Our main goal is to determine under which conditions concerning the smoothness of solutions to the Stokes system with the slip boundary conditions depend continuously on variations of . Having this result at our disposal, we easily prove the existence of a solution to optimal shape design problems for a large class of cost functionals. In order to release...
Shape optimization of turbine blades with the integration of aerodynamics and heat transfer.
Shape sensitivity analysis in flow models using a finite-difference approach.
Sharp asymptotic estimates for vorticity solutions of the 2D Navier-Stokes equation.
Sharp estimates of the curvature of some free boundaries in two dimensions.
Shear flow past a flat plate in hydromagnetics.
Shear flows of a new class of power-law fluids
We consider the flow of a class of incompressible fluids which are constitutively defined by the symmetric part of the velocity gradient being a function, which can be non-monotone, of the deviator of the stress tensor. These models are generalizations of the stress power-law models introduced and studied by J. Málek, V. Průša, K. R. Rajagopal: Generalizations of the Navier-Stokes fluid from a new perspective. Int. J. Eng. Sci. 48 (2010), 1907–1924. We discuss a potential application of the new...
Shear layer solutions of incompressible MHD and dynamo effect
Shear-free boundary in Stokes flow.
Shear-induced Electrokinetic Lift at Large Péclet Numbers
We analyze the problem of shear-induced electrokinetic lift on a particle freely suspended near a solid wall, subject to a homogeneous (simple) shear. To this end, we apply the large-Péclet-number generic scheme recently developed by Yariv et al. (J. Fluid Mech., Vol. 685, 2011, p. 306). For a force- and torque-free particle, the driving flow comprises three components, respectively describing (i) a particle translating parallel to the wall; (ii) a particle rotating with an angular velocity vector...
Shock capturing and related numerical methods in computational fluid dynamics.
Shock fluctuations in a particle system
Shock waves and general relativity
Shock waves in gas dynamics.
Shock-wave explosions in general relativity
Similarity analysis for natural convection from a vertical plate with distributed wall concentration.