Panel-free boundary conditions for viscous vortex methods
ONE of the various ways to solve the Navier-Stokes equations is to use its velocity-vorticity
formulation. This is found taking the curl of the momentum equation and considering an
incompressible fluid for which∇· u (x, t)= 0. Thus, the vorticity transport equation is obtained,
which is the governing equation in vortex methods:∂ ω∂ t+ u·∇ ω= ω·∇ u+ ν∆ ω(1)
formulation. This is found taking the curl of the momentum equation and considering an
incompressible fluid for which∇· u (x, t)= 0. Thus, the vorticity transport equation is obtained,
which is the governing equation in vortex methods:∂ ω∂ t+ u·∇ ω= ω·∇ u+ ν∆ ω(1)
ONE of the various ways to solve the Navier-Stokes equations is to use its velocity-vorticity formulation. This is found taking the curl of the momentum equation and considering an incompressible fluid for which∇· u (x, t)= 0. Thus, the vorticity transport equation is obtained, which is the governing equation in vortex methods:
∂ ω∂ t
+ u·∇ ω= ω·∇ u+ ν∆ ω(1)
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