Results 171 to 180 of about 85,258 (219)
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Nodal Flow Simulations by the Immersed Boundary Method
SIAM Journal on Applied Mathematics, 2014Summary: Experimental work in developmental biology has recently shown that fluid flow driven by rotating cilia in the node, which is a structure present in the early stage of growth of vertebrate embryos, is responsible for determining the normal development of the left-right asymmetry, with the heart on the left of the body, the liver on the right ...
Yongsam Kim, Joohee Lee, Sookkyung Lim
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The convergence for nodal expansion method
Applied Mathematics-A Journal of Chinese Universities, 1993This paper is concerned with conditions for convergence of approximations using the nodal expansion method, a relatively new method for approximate solution of partial differential equations. The essence of the method, which is discussed in the context of a model linear elliptic equation (the Helmholtz equation), is that the domain is partitioned into ...
Huang, Aixiang, Zhang, Bo
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A parallel nodal method of second order
Future Generation Computer Systems, 1995Abstract A nodal method of the so-called analytical physical type, using partial currents as variables, is applied to the multigroup diffusion equations of nuclear reactor theory in two-dimensional rectangular geometry. To solve the associated criticity problem, the power method is used for the outer iteration, and the Gauss-Seidel iteration for ...
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Nuclear Science and Engineering, 2001
This paper demonstrates that the analytic nodal method (ANM) solution to two-group (2-G) diffusion equations can be formulated in the same way as the nodal expansion method (NEM) solution, and ther...
Hyun Chul Lee, Chang Hyo Kim
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This paper demonstrates that the analytic nodal method (ANM) solution to two-group (2-G) diffusion equations can be formulated in the same way as the nodal expansion method (NEM) solution, and ther...
Hyun Chul Lee, Chang Hyo Kim
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A development of the HEXNEM nodal expansion method
Annals of Nuclear Energy, 2013Abstract In this paper a development of the HEXNEM nodal expansion methods is presented, together with a program implementation and results from comparisons with benchmark problem solutions. The new development consists in the introduction of tangentially weighted exponential basis functions and continuity and boundary conditions for the tangential ...
Ivaylo Christoskov, Petko T. Petkov
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A nodal integral method for quadrilateral elements
International Journal for Numerical Methods in Fluids, 2008AbstractNodal integral methods (NIMs) have been developed and successfully used to numerically solve several problems in science and engineering. The fact that accurate solutions can be obtained on relatively coarse mesh sizes, makes NIMs a powerful numerical scheme to solve partial differential equations.
Nezami, Erfan G. +3 more
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The Finite Patch Method: a nodal equation method based on FEM
Advances in Engineering Software, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Variational Nodal Methods for Neutron Transport
Nuclear Science and Engineering, 1985Nodal diffusion and transport methods are formulated variationally in terms of the even-parity form of the neutron transport equation and applied to problems in X-Y geometry.
I. Dilber, E. E. Lewis
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The analytic nodal method in cylindrical geometry
Nuclear Engineering and Design, 2008Abstract Nodal diffusion methods have been used extensively in nuclear reactor calculations, specifically for their performance advantage, but also for their superior accuracy. More specifically, the Analytic Nodal Method (ANM), utilising the transverse integration principle, has been applied to numerous reactor problems with much success.
Rian H. Prinsloo, Djordje I. Tomašević
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A semi-analytic multigroup nodal method
Annals of Nuclear Energy, 1999Abstract This paper describes a hybrid of the analytic nodal method and the polynomial nodal expansion method where the out-group source of the equivalent one-dimensional diffusion equation is approximated by a 4th-order polynomial. Then the higher-order source terms are updated in a weighted residual manner.
Yeong-Il Kim +3 more
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