In this article, we present a novel meshfree framework for fluid flow simulations on arbitrarily curved surfaces. First, introduce new Lagrangian to model Meshfree points or particles, which are used discretize the domain, move in sense along given surface. This is done without discretizing bulk around surface, parametrizing and background mesh. A key novelty that introduced handling of with ev...

Several dynamical systems require parametric compact modelling of physical behaviour taking into account the tight coupling with the control system. In this paper, we present an approach combining meshfree method with multi-port technique for the analysis of physical systems modelled with partial differential equations. The meshfree technique used is based on radial basis functions and differen...

We show that meshfree variational methods may be utilized for solution of incompressible fluid dynamics problems using the R-function method (RFM). The proposed approach constructs an approximate solution that satisfies all prescribed boundary conditions exactly using approximate distance fields for portions of the boundary, transfinite interpolation, and computations on a non-conforming spatia...

Numerical integration errors and volumetric locking in the near-incompressible limit are two outstanding issues in Galerkin-based meshfree computations. In this paper, we present a modified Gaussian integration scheme on background cells for meshfree methods that alleviates errors in numerical integration and ensures patch test satisfaction to machine precision. Secondly, a lockingfree small-st...

A meshfree method and (the related) a specified crack growth algorithm are used to simulate plugging fracture during high-speed impacts. In particular, we are simulating ballistic penetration of a steel plate, which is a ductile failure process involving projectile and target collision, contact, and subsequent projectile penetration companied plugging fracture inside steel plate. We have develo...