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The results of a workshop concerning the numerical simulation of the liquid flow around a hydrofoil in non-cavitating and cavitating conditions are presented. This workshop was part of the conference “Mathematical and Numerical aspects of Low Mach Number Flows” (2004) and was aimed to investigate the capabilities of different compressible flow solvers for the low Mach number regime and for flows in which incompressible and supersonic regions are simultaneously present. Different physical models...
The results of a workshop concerning the numerical
simulation of the liquid flow around a hydrofoil in non-cavitating and
cavitating conditions are presented. This workshop was part of the
conference “Mathematical and Numerical aspects of Low Mach Number
Flows” (2004) and was aimed to investigate the capabilities of
different compressible flow solvers for the low Mach number regime and for
flows in which incompressible and supersonic regions are
simultaneously present. Different physical models...
The purpose of this work is to study an example of low Mach (Froude) number limit of compressible flows when the initial density (height) is almost equal to a function depending on . This allows us to connect the viscous shallow water equation and the viscous lake equations. More precisely, we study this asymptotic with well prepared data in a periodic domain looking at the influence of the variability of the depth. The result concerns weak solutions. In a second part, we discuss the general low...
The purpose of this work is to study an example of low Mach (Froude) number
limit of
compressible flows when the initial density (height) is almost equal to a
function depending on x.
This allows us to connect the viscous shallow water equation
and the viscous lake equations.
More precisely, we study this asymptotic with well prepared
data in a periodic domain looking at the influence of the variability of the
depth. The result concerns weak solutions.
In a second part, we discuss...
This work is devoted to the numerical comparison of four active control techniques in order to increase the pressure recovery generated by the deceleration of a slightly compressible viscous flow over a dihedral plane. It is performed by the use of vortex generator jets and intrusive sensors. The governing equations, the two-dimensional direct numerical simulation code and the flow configuration are first briefly recalled. Then, the objective of the control is carefully displayed, and the uncontrolled...
This work is devoted to the numerical comparison of four active control
techniques in order to increase the pressure recovery generated by the
deceleration of a slightly compressible viscous flow over a dihedral plane.
It is performed by the
use of vortex generator jets and intrusive sensors. The governing equations,
the two-dimensional direct numerical simulation code and the
flow configuration are first briefly recalled. Then, the objective of the
control is carefully displayed, and the uncontrolled...
An exploratory study is performed to investigate the use of a time-dependent discrete
adjoint methodology for design optimization of a high-lift wing configuration augmented
with an active flow control system. The location and blowing parameters associated with a
series of jet actuation orifices are used as design variables. In addition, a geometric
parameterization scheme is developed to provide a compact set of design variables
describing the wing...
In this survey paper, we are concerned with the zero Mach number limit for compressible viscous flows. For the sake of (mathematical) simplicity, we restrict ourselves to the case of barotropic fluids and we assume that the flow evolves in the whole space or satisfies periodic boundary conditions. We focus on the case of ill-prepared data. Hence highly oscillating acoustic waves are likely to propagate through the fluid. We nevertheless state the convergence to the incompressible Navier-Stokes equations...
In this survey paper,
we are concerned with the zero Mach number limit
for compressible viscous flows.
For the sake of (mathematical) simplicity,
we restrict ourselves to the case of barotropic
fluids and we
assume that the flow evolves in the whole space
or satisfies periodic boundary conditions. We focus on the case of ill-prepared data.
Hence highly oscillating acoustic waves
are likely to propagate through the fluid.
We nevertheless state
the convergence to the incompressible Navier-Stokes...
The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.
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