Abstract
The discrete vortex method is a Lagrangian technique for solving the two-dimensional Navier-Stokes equations for an incompressible Newtonian fluid. Construction of a robust numerical solver for the impulsively started flow past an arbitrary shaped body is described. The boundary conditions at the body are satisfied with a panel method that uses a novel curved element. The viscous effects are modelled using a combination of the random walk and diffusion velocity techniques. The computational cost is reduced by using a zonal decomposition algorithm for the velocity summation. The code has been validated by using experimental data and other numerical data to demonstrate that the solutions produced have accuracy comparable to those obtained using finite difference computations, without the effects of grid-based numerical diffusion.
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