The accuracy and eeciency of the solution to numerical systems depends on the quality of the mesh used. Automatic mesh generation and adaptive reenement methods can, however, produce poor quality elements, even invalid elements, for quadrilateral or hexahedral mesh. We present an optimization-based approach for quadrilateral or hexahedral mesh untangling that maximizes the minimum area or volum...

In this paper, a hybrid of Local Domain Free Discretization and Immersed Boundary Method (termed as LDFD-IBM), is applied to simulate the incompressible flow over four circular cylinders in an in-line square configuration. LDFD-IBM belongs to the family of "Cartesian mesh methods", which means the complication of mesh generation is avoided for the problems with complex geometries. A Stencil Ada...

This paper presents a method for effectively modeling the outer surfaces of inlay/onlay prostheses restoring teeth that are partially destroyed. We exploit 3D mesh deformation techniques: direct manipulation free-form deformation (DMFFD) [9] and multiple wires deformation (MWD) [10] with three kinds of information: standard teeth models, scanned mesh data from the plaster cast of a patient's to...

this paper introduces a mesh generating algorithm for solving the traffic flow equation as a conservation law equation. the idea behind the new method is to use the characteristic curves and moving non-oscillatory finite volume method. in addition, when characteristic curves intersect, the proposed scheme uses shock speed equation in order to improve computational efficiency. we also compare...

Mesh-free methods have significant potential for simulations of flows in complex geometries, with the difficulties domain discretisation greatly reduced. However, many mesh-free are limited to low order accuracy. In compete conventional mesh-based methods, high accuracy is essential. The Local Anisotropic Basis Function Method (LABFM) a method introduced King et al. (2020) [20], which enables c...

In this paper, we introduce a mesh-free numerical framework using the finite pointset method for modeling and simulation of injection molding processes. When compared to well-established mesh-based methods, which have been widely applied these applications, our approach avoids need extensive preprocessing enables accurate treatment free surfaces other associated phenomena. To accurately model p...