Abstract
This paper studies the artificial outflow boundary condition for the Navier-Stokes system. This type of condition is widely used and it is therefore very important to study its influence on a numerical solution of the corresponding boundary-value problem. We particularly focus on the role of the coefficient in front of the nonlinear term in the boundary condition on the outflow. The influence of this term is examined numerically, comparing the obtained results in a close neighbourhood of the outflow. The numerical experiment is carried out for a fluid flow through the channel with so called sudden extension. Presented numerical results are obtained by means of the OpenFOAM toolbox. They confirm that the kinetic energy of the flow in the channel can be controlled by means of the proposed boundary condition.
Highlights
IntroductionThe boundaries where the velocity is not known in advance are usually denote by open/artificial boundaries
In computational fluid dynamics, the boundaries where the velocity is not known in advance are usually denote by open/artificial boundaries
The accuracy of the dynamics of micropolar fluid depends on the boundary conditions [6,7,8]
Summary
The boundaries where the velocity is not known in advance are usually denote by open/artificial boundaries This situation occurs in mathematical models of many types of fluid flow The accuracy of the dynamics of micropolar fluid depends on the boundary conditions [6,7,8] In these cases, the velocity profile is rarely available in advance on the whole boundary of the flow field, the pressure is available in some special cases when it is measured or computed with the aid of a reduced model. One of the boundary conditions addressing the problem of the open boundary is the so called “do–nothing” boundary condition used e.g.by Heywood, Rannacher and Turek in [9] (see the so called natural boundary condition [10]), i.e.,
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