2018
DOI: 10.18280/mmep.050412
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Numerical simulation of two-dimensional fluid flow problem using truly meshfree method

Abstract: The solution of two-dimensional steady and transient fluid flow problem by the truly meshless local Petrov-Galerkin (MLPG) method has been addressed in the present article. The unknown function of velocity u(x) is approximated by moving least square approximant u h (x). The essential boundary condition is imposed both by the direct and penalty function methods. Fourth order spline weight function, monomial basis function and a set of nonconstant coefficients are used to construct the approximants. The two-leve… Show more

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Cited by 3 publications
(3 citation statements)
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“…At this time, the opening size of the valve remains constant. In this way, the load flow can be controlled through current adjustment [20,21].…”
Section: System Structure and Working Principlementioning
confidence: 99%
“…At this time, the opening size of the valve remains constant. In this way, the load flow can be controlled through current adjustment [20,21].…”
Section: System Structure and Working Principlementioning
confidence: 99%
“…Multi-dimensional and complex problems have also been addressed by the MLPG method such as 3D thermo-elastoplastic analysis of thick functionally graded plate (Vaghefi et al, 2016), 2D fluid flow problems (Garg et al, 2018a), multi-dimensional nonlinear convection-diffusion equations based on least square radial basis function partition of unity method (Li et al, 2018), 2D complex Ginzburg-Landau equation (Shokri and Bahmani, 2019) and 2D and 3D steady-state heat conduction in regular and complex domains (Singh and Singh, 2019). Safarpoor and Shirzadi (2019) have applied the radial basis function-MLPG (RBF-MLPG) method for numerical study of heat and mass transfer equations in elliptic fins and observed that the method enjoys exponential convergence, stability and accuracy.…”
Section: Introductionmentioning
confidence: 99%
“…Computer numerical simulation is a low-cost technology capable of simulating various complex combustion conditions of hydrocarbon fuel. As a result, this technology has become a popular way to explore the combustion mechanism of hydrocarbon fuel [5][6][7][8][9]. Computer simulation has been frequently employed to construct the kinetics model of hydrocarbon fuel in chemical reactions, aiming to identify the chemical reaction rate of the fuel during combustion and the formation path of combustion products [10][11][12][13].…”
Section: Introductionmentioning
confidence: 99%