a meshless method namely, discrete least square method (dlsm), is presented in the paper for the solution of free surface seepage problem. in this method computational domain is discredited by some nodes and then the set of simultaneous equations are built using moving least square (mls) shape functions and least square technique. the proposed method does not need any background mesh therefore ...

The boundary behavior of axisymmetric microswimming squirmers is theoretically explored within an inertialess Newtonian fluid for a no-slip interface and also a free surface in the small capillary number limit, preventing leading-order surface deformation. Such squirmers are commonly presented as abridged models of ciliates, colonial algae, and Janus particles and we investigate the case of low...

In this work, a new method for mesh simpliication and surface reconstruction speciically designed for the needs of CAD/CAM engineering design and analysis is introduced. The method simpliies the original free-form face model by rst constructing restricted curvature deviation regions, generating a boundary conforming nite element quadrilateral mesh of the regions, and then tting a smooth surface...

A variable explicit/implicit characteristics-based advection scheme that is second-order accurate in space and time has been developed recently for unstructured deforming meshes (O'Rourke & Sahota 1996a). To explore the suitability of this methodology for large-eddy simulation (LES), three subgrid-scale turbulence models have been implemented in the CHAD CFD code (O'Rourke & Sahota 1996b): a co...

Objective: The aim of this study was to compare the use of Polypropylene mesh (Prolene) and Sepramesh, a coated Polypropylene mesh with a protective layer of Seprafilm on its visceral side, for the repair of abdominal wall defects in horses. We also aimed to quantify the consequent visceral adhesion and tissue inflammatio Design: Experimental study. Animals: Ten horses. Methods: The horses w...

Over the past several years, as part of the Advanced Power Extraction (APEX) project, liquid metal magnetohydrodynamic (MHD) film and jet flows have been modeled using the assumption of axisymmetry to simplify the governing equations to a more tractable two-dimensional (2D) form. The results of these 2D simulations as they pertain to liquid wall and divertor flows is presented here. The effect ...

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.

Asymptotics of solutions to the Laplace equation with Neumann or Dirichlet conditions in the vicinity of a circular singular edge in a three-dimensional domain are derived and provided in an explicit form. These asymptotic solutions are represented by a family of eigen-functions with their shadows, and the associated edge flux intensity functions (EFIFs), which are functions along the circular ...

In a composite fluid system of two gravitationally coupled barotropic scale-free discs bearing a rotation curve v ∝ r and a power-law surface mass density Σ0 ∝ r −α with α = 1 + 2β, we construct coplanar stationary aligned and spiral perturbation configurations in the two discs. Due to the mutual gravitational interaction, there are two independent classes of perturbation modes with surface mas...

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...