In this paper, numerical solution of the Benjamin-Bona-Mahony-Burgers (BBMB) equation is obtained by using the mesh-free method based on the collocation method with radial basis functions (RBFs). Stability analysis of the method is discussed. The method is applied to several examples and accuracy of the method is tested in terms of $L_2$ and $L_infty$ error norms.

In this study, static and free vibration analyses of functionally graded (FG) nanocomposite plates, reinforced by wavy single-walled carbon nanotubes (SWCNTs) resting on a Pasternak elastic foundation, were investigated based on a mesh-free method and modified first-order shear deformation theory (FSDT). Three linear types of FG nanocomposite plate distributions and a uniform distribution of wa...

A new moving mesh approach is used for numerical simulation of incompressible flow problems involving freesurfaces. The divergence form of the Navier-Stokes equation is discretized using an unstructured staggered mesh method. This method exploits the inherent advantages of the DelaunayVeronoi co-volumes, which exhibit an orthogonal behavior. The paper also describes the semi-Lagrangian mesh ada...

This paper presents a new procedure to improve the quality of triangular meshes defined on surfaces. The improvement is obtained by an iterative process in which each node of the mesh is moved to a new position that minimizes certain objective function. This objective function is derived from an algebraic quality measures of the local mesh (the set of triangles connected to the adjustable or fr...

The octagonal mesh is a variation of the two-dimensional (2D) mesh topology in which each processing element is connected to its eight closest neighbors. This paper studies the octagonal mesh as a topology for a wormhole-routed multiprocessor. A unicast routing algorithm and two multicast routing algorithms are presented and shown to be deadlock-free. Simulation results are given that compare m...

In this paper we analyze and extend mesh-free algorithms for three-dimensional data transfer problems for partitioned multiphysics simulations. We first provide a direct comparison between a mesh-based weighted residual method using the commonrefinement scheme and two mesh-free algorithms leveraging compactly supported radial basis functions: one using a spline interpolation and one using a mov...

The natural frequencies and mode shapes of pneumatic tires are predicted using a geometrically accurate, three-dimensional finite element modeling. Tire rubber materials and cord layers are represented independently using “shell element” available in COSMOS. The effects of some physical parameters such as the inflation pressure tread pattern, thickness of belts and ply angles to the natural ...