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A New Algorithm for Unstructured Quadrilateral Mesh Generation and Rezoning

Sarrate J., M.A. Gutierrez and A. Huerta

FEMIF, September 1993

MESHING
RESEARCH
CORNER

Abstract
Some incompressible flow formulations require quadrilateral finite elements. This paper describes a new automatic two-dimensioanl unstructured quadrilateral element mesh generator. The user interaction is reduced to the specification of the boundary geometry and the desired element size. Once the boundary nodes are generated, the domain is recursively subdivided by "optimal" splitting lines until quadrilaterals of the desired size are left. This work also proposes an objective function based on geometrical considerations to compute the "optimal" splitting line. Furthermore, an efficient algorithm is developed for continuous mesh rezoning. It reduced the distortion of the initially generated mesh and allows continuous modeling of problems with large boundary motions in two-dimensional arbitrary Lagrangian-Eulerian finite element codes.
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