The objective of this study was to apply the Immersed Boundary
Method with the Virtual Physical Model to study external
compressible flows. The Immersed Boundary methods have been
increasingly used to model flows with submerged objects, particularly
when they are in movement or deformation. These methods
use independent grids to represent the domain and the immersed
bodies. The domain is represented by an Eulerian mesh,
whereas the 2D immersed body is represented by a set of points,
which is called Lagrangian mesh. The no-slip condition is enforced
by the force field introduced into the momentum equation.
Another advantage of this approach is that the drag and lift
forces can be calculated directly by using the Lagrangian force
field. In the Virtual Physical Model, the force is first obtained
in the Lagrangian grid by using the conservation laws and then
is distributed to the Eulerian grid. In the present work, a nonuniform
Cartesian grid and a central finite volume scheme with
second order accuracy were used in the spatial discretization of
the Navier-Stokes equations. The Euler method was applied for
time discretization. Subsonic flows were simulated over a circular
profile with adiabatic walls for different Reynolds numbers.
Supersonic shock wave reflection problems were also simulated.
Relevant parameters such as drag and lift forces, Strouhal number
and pressure distribution were compared with numerical and
experimental results from literature. In addition, this study was
carried out using OpenFOAM program, seeking to validate the
methodology and the in-house CFD code developed in this work.
Papers presented to the 12th International Conference on Heat Transfer, Fluid Mechanics and Thermodynamics, Costa de Sol, Spain on 11-13 July 2016.