نتایج جستجو برای: meshless collocation method

تعداد نتایج: 1632549  

2010
Gregor Kosec Bozidar Sarler

This paper examines the numerical solution of the nonlinear coupled Burger’s equations with various values of viscosity by local meshless methods. The local radial basis functions collocation method (LRBFCM) belongs to the class of truly meshless methods which do not need any underlying mesh but work on a set of uniform or random nodes only, without any a priori node to node connectivity. The n...

2001
Y. C. Hon W. Chen

The boundary knot method (BKM) of very recent origin is an inherently meshless, integration-free, boundary-type, radial basis function collocation technique for the numerical discretization of general partial differential equation systems. Unlike the method of fundamental solutions, the use of non-singular general solution in the BKM avoids the unnecessary requirement of constructing a controve...

2017
Hananeh Nojavan Saeid Abbasbandy Tofigh Allahviranloo

This study aimed at investigating a local radial basis function collocation method (LRBFCM) in the reproducing kernel Hilbert space. This method was, in fact, a meshless one which applied the local sub-clusters of domain nodes for the approximation of the arbitrary field. For time-dependent partial differential equations (PDEs), it would be changed to a system of ordinary differential equations...

Journal: :Discrete and Continuous Dynamical Systems-series B 2021

Turing-type reaction-diffusion systems on evolving domains arising in biology, chemistry and physics are considered this paper. The domain is transformed into a reference domain, which we use second order semi-implicit backward difference formula (SBDF2) for time integration meshless collocation method space discretization. A global refinement strategy proposed to r...

Journal: :iranian journal of numerical analysis and optimization 0
jafar biazar mohammad hosami

in this paper, an adaptive meshless method of line is applied to distribute the nodes in the spatial domain. in many cases in meshless methods, it is also necessary for the chosen nodes to have certain smoothness properties. the set of nodes is also required to satisfy certain constraints. in this paper, one of these constraints is investigated. the aim of this manuscript is the implementation ...

Journal: :J. Comput. Physics 2012
S. M. Zandi B. Boroomand Soheil Soghrati

In this report, a new simple meshless method is presented for the solution of incompressible inviscid fluid flow problems with moving boundaries. A Lagrangian formulation established on pressure, as a potential equation, is employed. In this method, the approximate solution is expressed by a linear combination of exponential basis functions (EBFs), with complex-valued exponents, satisfying the ...

2011
Y. Alhuri A. Taik

Abstract. Many numerical solution alternatives based on Navier Stokes equations or Reynolds equations with single or double phase closure turbulence model were proposed. These have the drawback of : i) High computational cost, ii) The detailed complexity of the flow are partially accounted for, iii) Parameters estimation is still an open problem. In this paper, we proceeded by depth averaging o...

Journal: :Applied Mathematics and Computation 2023

A new recovery technique based on discretization corrected particle strength exchange (DC PSE) operators is developed in this paper. DC PSE an established collocation method that can be used to compute derivatives directly at nodal points, instead of by projection from Gauss points as done many finite element-based techniques. The proposed truly meshless and does not require patches elements de...

رفیع‌زاده, امین, زندی, سید مهدی,

In this article, a meshless method based on exponential basis functions (EBFs) is presented to simulate the harmonic waves with moving free-surfaces generated by the piston-type wave maker. Accordingly, velocity potential is adopted in a Mixed Eulerian-Lagrangian (MEL) approach. Boundary conditions are met through a point-wise collocation approach. In order to update the geometry in the simulat...

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