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Near-to Far-zone Transformation in Half-space by FDTD:TE Case
JIANG Yannan, YANG Lixia, YU Xinhua
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 2013, 30 (
4
): 554-558.
Abstract
(
359
)
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(1200KB)(
1159
)
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A method to calculate far-zone scattering fields of a target in half-space excited by TE wave is proposed.Formulas of Green's function in a pair of vector potentials is derived,by which far-zone scattering field
H
z
can be calculated.Core of the method is calculation of electric and magnetic currents and their spatial phase in near-zone,which is elaborated.Far fields of an example are considered,which validates the method.Finally monostatic RCS of Type 96 armored vehicle is calculated.It is found that the maximum RCS is reached at head-in incidence case.
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A DIMENSIONAL REDUCTION METHOD FOR INCOMPRESSIBLE FLUID DYNAMICS Ⅳ.THREE DIMENSIONAL NAVIER-STOKES EQUATIONS
Yu Xin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1989, 6 (
1
): 104-116.
Abstract
(
294
)
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(760KB)(
1014
)
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This paper is the 4th in a series of papers in which we propose a new finite element method for incompressible fluid dynamics-a dimensional reduction method. The divergence free space
V
h
is used as both the velocity solution space and the test function space in the momentum equation. Thus the pressure term disappear, the velocity vector can be solved(before the pressure).This paper presents a simple basis of
V
h
for a kind of first order finite element schemes solving three dimensional Navier-Stokes equations. It differs from the two dimensional problem on that the directly given "basis" B
h
is linearly dependent. Therefore we must remove some functions from B
h
so that it becomes linearly independent.All the removed functions form a "tree" in a sense.
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A DIMENSIONAL REDUCTION METHOD FOR INCOMPRESSIBLE FLUID DYNAMICS Ⅲ、SECOND ORDER ACCURATE FINITE ELEMENT SCHEMES
Yu Xin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1988, 5 (
2
): 211-220.
Abstract
(
198
)
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(504KB)(
920
)
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This paper is the 3rd in a series of papers in-which we present a new finite element method for incompressible fluid dynamics-a dimensional reduction method.Here we discuss a class of finite element schemes which contain some second order accurate schemes and the schemes discussed in[4].
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A DIMENSIONAL REDUCTION METHOD FOR INCOMPRESSIBLE FLUID DYNAMICS Ⅱ.THE BASIS OF V~h AND THE ERROR ESTIMATES
Yu Xin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1986, 3 (
2
): 217-226.
Abstract
(
193
)
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(589KB)(
998
)
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This paper is the second in a series of papers in which we present a new finite element method for incompressible fluid dynamics-a dimensional reduction method. In this paper, we give a simple basis of Vh for a class of finite element schemes for solving Navier-Stokes equations in a bounded domain Ω⊂R
2
, discuss how the numerical error of the velocity field affects the numerical solution of the pressure, and present an improved algorithm.
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A DIMENSIONAL REDUCTION METHOD FOR INCOMPRESSIBLE FLUID DYNAMICS I. THE ESSENTIAL ALGORITHM
Yu Xin
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS 1985, 2 (
3
): 337-346.
Abstract
(
225
)
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(596KB)(
1104
)
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This paper is the first in a series of papers in which we present a new finite element method for incompressible fluid dynamics——a dimensional reductionmethod.We show that it saves a lot of computing time and storages using this method when a simple basis of Yh is available.in this paper, the essential algorithm is presented, and a very simpte basis of V
h
is given for solving the homogeneous Navier-Stokes equations in a simply connected region in R
2
using quadratic conforming triangular elements for the velocity field and piecewish constant triangular elements for the pressure[1].
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