Author(s)

X. Xie & M. Pasquali

Abstract

Free boundary problems arise in various applications like coating, polymer processing, and biomedical engineering. In a problem with free boundaries, the physical domain is unknown a priori. Mesh generation equations must be added to the conservation equations to locate the free boundaries and map the unknown physical domain into a convenient reference one. Several mesh generation methods for free boundary problems have been developed, chiefly elliptic mesh generation and domain deformation. Whereas these methods are well-established for 2-D free boundary problems, 3-D free boundary problems still present challenges because of the sheer size of the computational problems, the complexity of 3-D free surface manipulation, and the need of using iterative solvers like GMRES [I]. This work applies domain deformation to three dime

Keywords