Topic
Meshfree methods
About: Meshfree methods is a research topic. Over the lifetime, 2216 publications have been published within this topic receiving 69596 citations.
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TL;DR: It is shown that THB-RKPM method is ideally appropriate for local refinement of laminated composite plates in the framework of isogeometric analysis and the flexibility of the proposed method for refining basis functions leads to decrease the computational cost without losing the accuracy of the solution.
5 citations
TL;DR: A new procedure is developed in order to generate the initial set of nodes based on a map density of nodes and a regularization procedure that does not rely on any existing meshing technique, such as Delaunay or advancing front.
Abstract: Meshless methods are new numerical simulation methods. Meshless methods are based on a simple set of nodes that has to be optimized to obtain a good convergence of the approximation. For these reasons, in this paper, we have developed a new procedure in order to generate the initial set of nodes. This approach does not rely on any existing meshing technique, such as Delaunay or advancing front. It is based on a map density of nodes and a regularization procedure.
5 citations
TL;DR: A smooth fabric micromechanical model of 3D braided composites is presented for the first time and an enriched element free Galerkin method is developed to implicitly include the unit cell formulation into the constitutive matrix, hence allowing the problem to be modelled with a simple uniform distribution of nodes.
5 citations
TL;DR: An operator splitting method based on meshless and finite difference procedures, is being considered for numerical solution of compartmental epidemiological population models with and without diffusion.
5 citations
01 Jan 2011
TL;DR: In this article, a coupling between the macro-scale numer- ical method and the molecular dynamics simulation is developed for simulating the micro- and nano-scale incompressible flow problems.
Abstract: The coupling between the macro-scale numer- ical method and the molecular dynamics (MD) simulation is developed for simulating the micro- and nano-scale incompressible flow problems. The proposed coupling schemes are based on the technique of ''domain decom- position'' in which the MD simulation is used in the region where molecular details are important, while the macro- scale numerical method is used in the remaining bulk region. These two different descriptions are matched in an overlap region where we ensure the continuity of mass, momentum, energy, and their fluxes. Especially, in order to take full advantage of meshfree methods, the element-free Galerkin (EFG) method is adopted as the macro-scale numerical method and the variational multiscale method is introduced to overcome the numerical instabilities of the EFG method for solving the incompressible flow problems. Finally, we apply the coupling to solve the isothermal and non-isothermal Couette flow problems. The numerical results indicate that there is a good agreement between the results of the macro-scale numerical method and the results of the MD simulation in the overlap region. In addition, due to that the MD simulation is used in the region where the micro-effects are important, then we can simulate out the micro-scale effects in this crucial region.
5 citations