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Definitions and governing equations / 1：

Vortex methods for incompressible two-dimensional flows / 2：

Three-dimensional vortex methods for inviscid flows / 3：

Inviscid boundary conditions / 4：

Viscous vortex methods / 5：

Vorticity boundary conditions for the Navier-Stokes equations / 6：

Lagrangian grid distortions: problems and solutions / 7：

Hybrid methods / 8：

Mathematical tools for the numerical analysis of vortex methods / Appendix A：

Fast multipole methods for three-dimensional N-body problems. / Appendix B：

Definitions and governing equations / 1：

Vortex methods for incompressible two-dimensional flows / 2：

Three-dimensional vortex methods for inviscid flows / 3：