The Experts below are selected from a list of 201225 Experts worldwide ranked by ideXlab platform
Brian K. Kendrick - One of the best experts on this subject based on the ideXlab platform.
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a new method for solving the quantum hydrodynamic Equations of Motion application to two dimensional reactive scattering
Journal of Chemical Physics, 2004Co-Authors: Denise Pauler, Brian K. KendrickAbstract:The de Broglie–Bohm hydrodynamic Equations of Motion are solved using a meshless method based on a moving least squares approach and an arbitrary Lagrangian–Eulerian frame of reference. A regridding algorithm adds and deletes computational points as needed in order to maintain a uniform interparticle spacing, and unitary time evolution is obtained by propagating the wave packet using averaged fields. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the Equations of Motion. The methodology is applied to a two-dimensional model collinear reaction with an activation barrier. Reaction probabilities are computed as a function of both time and energy, and are in excellent agreement with those based on the quantum trajectory method.
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a new method for solving the quantum hydrodynamic Equations of Motion application to two dimensional reactive scattering
Journal of Chemical Physics, 2004Co-Authors: Denise Pauler, Brian K. KendrickAbstract:The de Broglie–Bohm hydrodynamic Equations of Motion are solved using a meshless method based on a moving least squares approach and an arbitrary Lagrangian–Eulerian frame of reference. A regridding algorithm adds and deletes computational points as needed in order to maintain a uniform interparticle spacing, and unitary time evolution is obtained by propagating the wave packet using averaged fields. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the Equations of Motion. The methodology is applied to a two-dimensional model collinear reaction with an activation barrier. Reaction probabilities are computed as a function of both time and energy, and are in excellent agreement with those based on the quantum trajectory method.
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a new method for solving the quantum hydrodynamic Equations of Motion
Journal of Chemical Physics, 2003Co-Authors: Brian K. KendrickAbstract:The quantum hydrodynamic Equations associated with the de Broglie–Bohm formulation of quantum mechanics are solved using a meshless method based on a moving least squares approach. An arbitrary Lagrangian–Eulerian frame of reference is used which significantly improves the accuracy and stability of the method when compared to an approach based on a purely Lagrangian frame of reference. A regridding algorithm is implemented which adds and deletes points when necessary in order to maintain accurate and stable calculations. It is shown that unitarity in the time evolution of the quantum wave packet is significantly improved by propagating using averaged fields. As nodes in the reflected wave packet start to form, the quantum potential and force become very large and numerical instabilities occur. By introducing artificial viscosity into the Equations of Motion, these instabilities can be avoided and the stable propagation of the wave packet for very long times becomes possible. Results are presented for the ...
Koji Imai - One of the best experts on this subject based on the ideXlab platform.
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GOVERNING Equations of Motion of WALKING BEHAVIOR of UNANCHORED FLAT-BOTTOM CYLINDRICAL SHELL TANKS SUBJECTED TO HORIZONTAL SINOSOIDAL GROUND Motion
2020Co-Authors: Tomoyo Taniguchi, Koji ImaiAbstract:ABSTRACT The governing Equations of Motion of walking phenomena of unanchored flat-bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion are examined. The Equations of Motion are derived through variational approach. The physical quantities related to the walking phenomena are the mass of tank itself, tank content, the effective mass of liquid for bulging Motion, that for rocking Motion, that for rockingbulging interaction Motion, and friction force including selfweight reduction effects. The roles of each physical quantity during the walking Motion are clearly identified. Comparison of the time history of experimental results and that of analytical ones corroborates accuracy of the proposed Equations of Motion. INTRODUCTION The large slip of a flat bottom cylindrical shell tank was observed when the tank experienced severe ground Motion Kobayashi [3] presented a multi-degree-of-freedom model for the large slip of the tank, which models the fluid-structure interaction and uplift of the tank. However, its applicability is not thoroughly discussed. In contrast, the senior autho
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governing Equations of Motion of walking behavior of unanchored flat bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion
ASME 2006 Pressure Vessels and Piping ICPVT-11 Conference, 2006Co-Authors: Tomoyo Taniguchi, Koji ImaiAbstract:The governing Equations of Motion of walking phenomena of unanchored flat-bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion are examined. The Equations of Motion are derived through variational approach. The physical quantities related to the walking phenomena are the mass of tank itself, tank content, the effective mass of liquid for bulging Motion, that for rocking Motion, that for rocking-bulging interaction Motion, and friction force including self-weight reduction effects. The roles of each physical quantity during the walking Motion are clearly identified. Comparison of the time history of experimental results and that of analytical ones corroborates accuracy of the proposed Equations of Motion.© 2006 ASME
Denise Pauler - One of the best experts on this subject based on the ideXlab platform.
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a new method for solving the quantum hydrodynamic Equations of Motion application to two dimensional reactive scattering
Journal of Chemical Physics, 2004Co-Authors: Denise Pauler, Brian K. KendrickAbstract:The de Broglie–Bohm hydrodynamic Equations of Motion are solved using a meshless method based on a moving least squares approach and an arbitrary Lagrangian–Eulerian frame of reference. A regridding algorithm adds and deletes computational points as needed in order to maintain a uniform interparticle spacing, and unitary time evolution is obtained by propagating the wave packet using averaged fields. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the Equations of Motion. The methodology is applied to a two-dimensional model collinear reaction with an activation barrier. Reaction probabilities are computed as a function of both time and energy, and are in excellent agreement with those based on the quantum trajectory method.
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a new method for solving the quantum hydrodynamic Equations of Motion application to two dimensional reactive scattering
Journal of Chemical Physics, 2004Co-Authors: Denise Pauler, Brian K. KendrickAbstract:The de Broglie–Bohm hydrodynamic Equations of Motion are solved using a meshless method based on a moving least squares approach and an arbitrary Lagrangian–Eulerian frame of reference. A regridding algorithm adds and deletes computational points as needed in order to maintain a uniform interparticle spacing, and unitary time evolution is obtained by propagating the wave packet using averaged fields. The numerical instabilities associated with the formation of nodes in the reflected portion of the wave packet are avoided by adding artificial viscosity to the Equations of Motion. The methodology is applied to a two-dimensional model collinear reaction with an activation barrier. Reaction probabilities are computed as a function of both time and energy, and are in excellent agreement with those based on the quantum trajectory method.
Dirk H Rischke - One of the best experts on this subject based on the ideXlab platform.
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dissipative relativistic fluid dynamics a new way to derive the Equations of Motion from kinetic theory
Physical Review Letters, 2010Co-Authors: Gabriel S Denicol, T Koide, Dirk H RischkeAbstract:We rederive the Equations of Motion of dissipative relativistic fluid dynamics from kinetic theory. In contrast with the derivation of Israel and Stewart, which considered the second moment of the Boltzmann equation to obtain Equations of Motion for the dissipative currents, we directly use the latter's definition. Although the Equations of Motion obtained via the two approaches are formally identical, the coefficients are different. We show that, for the one-dimensional scaling expansion, our method is in better agreement with the solution obtained from the Boltzmann equation.
Tomoyo Taniguchi - One of the best experts on this subject based on the ideXlab platform.
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GOVERNING Equations of Motion of WALKING BEHAVIOR of UNANCHORED FLAT-BOTTOM CYLINDRICAL SHELL TANKS SUBJECTED TO HORIZONTAL SINOSOIDAL GROUND Motion
2020Co-Authors: Tomoyo Taniguchi, Koji ImaiAbstract:ABSTRACT The governing Equations of Motion of walking phenomena of unanchored flat-bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion are examined. The Equations of Motion are derived through variational approach. The physical quantities related to the walking phenomena are the mass of tank itself, tank content, the effective mass of liquid for bulging Motion, that for rocking Motion, that for rockingbulging interaction Motion, and friction force including selfweight reduction effects. The roles of each physical quantity during the walking Motion are clearly identified. Comparison of the time history of experimental results and that of analytical ones corroborates accuracy of the proposed Equations of Motion. INTRODUCTION The large slip of a flat bottom cylindrical shell tank was observed when the tank experienced severe ground Motion Kobayashi [3] presented a multi-degree-of-freedom model for the large slip of the tank, which models the fluid-structure interaction and uplift of the tank. However, its applicability is not thoroughly discussed. In contrast, the senior autho
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governing Equations of Motion of walking behavior of unanchored flat bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion
ASME 2006 Pressure Vessels and Piping ICPVT-11 Conference, 2006Co-Authors: Tomoyo Taniguchi, Koji ImaiAbstract:The governing Equations of Motion of walking phenomena of unanchored flat-bottom cylindrical shell tanks subjected to horizontal sinusoidal ground Motion are examined. The Equations of Motion are derived through variational approach. The physical quantities related to the walking phenomena are the mass of tank itself, tank content, the effective mass of liquid for bulging Motion, that for rocking Motion, that for rocking-bulging interaction Motion, and friction force including self-weight reduction effects. The roles of each physical quantity during the walking Motion are clearly identified. Comparison of the time history of experimental results and that of analytical ones corroborates accuracy of the proposed Equations of Motion.© 2006 ASME
