  Computational mathematics plays an increasingly important role in
computational fluid dynamics (CFD). The aeronautics and aerospace re- search
community is working on next generation of CFD capacity that is accurate,
automatic, and fast. A key component of the next generation of CFD is a greatly
enhanced capacity for mesh generation and adaptivity of the mesh according to
solution and geometry. In this paper, we propose a new method that generates
triangular meshes on domains of curved boundary. The method deforms a Cartesian
mesh that covers the domain to generate a mesh with prescribed boundary nodes.
The deformation fields are generated by a system of divergence and curl
equations which are solved effectively by the least square finite element
method.

Computational Geometry