Gauge Method for Viscous Incompressible Flows∗

  title={Gauge Method for Viscous Incompressible Flows∗},
  author={Jianguo Liu},
We present a new formulation of the incompressible Navier-Stokes equation in terms of an auxiliary field that differs from the velocity by a gauge transformation. The gauge freedom allows us to assign simple and specific boundary conditions for both the auxiliary field and the gauge field, thus eliminating the issue of pressure boundary condition in the usual primitive variable formulation. The resulting dynamic and kinematic equations can then be solved by standard methods for heat and Poisson… CONTINUE READING


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