Ion Storage in Three-Dimensional, Rotationally Symmetric, Quadrupole Fields. I. Theoretical Treatment

1968 ◽  
Vol 5 (1) ◽  
pp. 1-10 ◽  
Author(s):  
P. H. Dawson ◽  
N. R. Whetten
Keyword(s):  
Three Dimensional ◽  
Theoretical Treatment ◽  
Ion Storage ◽  
Rotationally Symmetric

N-Doped Carbon-Wrapped Cobalt–Manganese Oxide Nanosheets Loaded into a Three-Dimensional Graphene Nanonetwork as a Free-Standing Anode for Lithium-Ion Storage

2021 ◽  
Vol 4 (4) ◽  
pp. 3619-3630
Author(s):  
Peilin Zhang ◽  
Weiwei Wang ◽  
Jinzhe Liu ◽  
Chencheng Zhou ◽  
Jiao-Jiao Zhou ◽  
...  
Keyword(s):  
Manganese Oxide ◽  
Three Dimensional ◽  
Lithium Ion ◽  
Free Standing ◽  
Ion Storage

Q-BOR–FDTD method for solving Schrodinger equation for rotationally symmetric nanostructures with hydrogenic impurity

2022 ◽  
Author(s):  
Arezoo Firoozi ◽  
Ahmad Mohammadi ◽  
Reza Khordad ◽  
Tahmineh Jalali
Keyword(s):  
Schrödinger Equation ◽  
Analytical Solutions ◽  
Schrodinger Equation ◽  
Fdtd Method ◽  
Three Dimensional ◽  
Test Cases ◽  
Body Of Revolution ◽  
Hydrogenic Impurity ◽  
Rotationally Symmetric ◽  
Difference Time

Abstract An efficient method inspired by the traditional body of revolution finite-difference time-domain (BOR-FDTD) method is developed to solve the Schrodinger equation for rotationally symmetric problems. As test cases, spherical, cylindrical, cone-like quantum dots, harmonic oscillator, and spherical quantum dot with hydrogenic impurity are investigated to check the efficiency of the proposed method which we coin as Quantum BOR-FDTD (Q-BOR-FDTD) method. The obtained results are analysed and compared to the 3-D FDTD method, and the analytical solutions. Q-BOR-FDTD method proves to be very accurate and time and memory efficient by reducing a three-dimensional problem to a two-dimensional one, therefore one can employ very fine meshes to get very precise results. Moreover, it can be exploited to solve problems including hydrogenic impurities which is not an easy task in the traditional FDTD calculation due to singularity problem. To demonstrate its accuracy, we consider spherical and cone-like core-shell QD with hydrogenic impurity. Comparison with analytical solutions confirms that Q-BOR–FDTD method is very efficient and accurate for solving Schrodinger equation for problems with hydrogenic impurity

Quasi-Three-Dimensional Analysis of Cavitation in an Inducer

2004 ◽  
Vol 126 (5) ◽  
pp. 709-715 ◽  
Author(s):  
Hironori Horiguchi ◽  
Souhei Arai ◽  
Junichiro Fukutomi ◽  
Yoshiyuki Nakase ◽  
Yoshinobu Tsujimoto
Keyword(s):  
Present Method ◽  
Radial Direction ◽  
Three Dimensional ◽  
Meridian Plane ◽  
Cavity Model ◽  
Closed Cavity ◽  
Stream Surface ◽  
Meridional Velocity ◽  
Singularity Method ◽  
Rotationally Symmetric

A method for the prediction of steady cavitation in turbopumps is proposed on the assumption that the fluid is inviscid and the stream surface is rotationally symmetric. The analysis in the meridian plane is combined with that in a blade-to-blade stream surface where a singularity method based on a closed cavity model is used. The present method is applied to a helical inducer and it is found that the influence of the three-dimensionality of the flow on cavitation mainly appears as the change of angle of attack associated with the change of meridional velocity caused by the movement of meridian streamline in radial direction.

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