Moving Mesh Movie

Moving Mesh Results for Incompressible Flows

• References:
  [1]: Moving mesh finite element methods for the incompressible Navier-Stokes equations
        Y. Di, R. Li, T. Tang and P.-W. Zhang, SIAM J. Sci. Comput., 26, pp. 1036-1056, 2005. [PDF]
  [2]: Level set calculations for incompressible two-phase flows on a dynamically adaptive grid
        Y. Di, R. Li, T. Tang and P.-W. Zhang, [PDF]

• Pictures:
  Double Shear Flow (mesh) (velocity) (vorticity)
  Double Shear Flow: Thick-layer problem (mesh) (velocity) (vorticity)
  Double Shear Flow: Thin Layer problem (mesh) (velocity) (vorticity)

• References:
  [1]: Resolving small-scale structures in Boussinesq convection by high resolution numerical methods
        W.-S. Don, T. Tang and Z.-R. Zhang [PDF]
  [2]: Simulation of finite time divergence in 2D Boussinesq equation by adaptive mesh code
         Y. Yamada, H. Miyashita, S. Toh and T. Matsumoto, 2001 [PDF]
  [3]: A numerical search for a singularity of 2D inviscid Boussinesq approximation equation
         T. Matsumoto, H. Miyashita, Y. Yamada and S. Toh [PDF]

• Pictures:
  Boussinesq Flow (mesh) (density) (vorticity)
  Possible finite-time blow-up at t=4: (density) (vorticity)

• Codes:
    Code for Double Shear Flow in C (tar)