The following are some examples are use the immersed boundary methodology to solve the PDE in the presence of various geometries. To use the immersed boundary implementation in HyPar, an STL (https://en.wikipedia.org/wiki/STL_%28file_format%29) representation of the immersed body is necessary. Note:

The immersed boundary method is only implemented for 3-dimensional simulations (HyPar::ndims = 3).
It can be used with only those physical models that define an immersed boundary implementation (HyPar::IBFunction()), for example, the 3D Navier-Stokes (NavierStokes3D) equations (NavierStokes3DIBAdiabatic(), NavierStokes3DIBIsothermal()).

3D Navier-Stokes Equations:

Steady, incompressible, viscous flow around a cylinder
Unsteady, incompressible, viscous flow around a cylinder (vortex shedding)

Inviscid Shock-Cylinder Interaction

Steady, incompressible, viscous flow around an adiabatic sphere
Steady, incompressible, viscous flow around an isothermal sphere
Steady, incompressible, viscous flow around an isothermal warm sphere
Unsteady, compressible, viscous flow around an adiabatic sphere
Unsteady, compressible, viscous flow around an isothermal sphere