A VARIATIONAL FORMULATION FOR ANISOTROPIC WAVE TRAVELING IN A POROUS MEDIUM

An anisotropic wave in a porous medium is a hot topic in the coastal protection. A fractal derivative model is established, and a variational principle is established for the anisotropic wave traveling. The variational principle reveals an energy conservation law during the traveling process.

Download Full-text

Rigid-Elastic Coupled Dynamics and its Application

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.629.587 ◽

2012 ◽

Vol 629 ◽

pp. 587-592

Author(s):

Hai Yan Song ◽

Li Fu Liang ◽

Hai Bo Li

Keyword(s):

Variational Principle ◽

Energy Conservation ◽

Conservation Law ◽

Vibration Mode ◽

Coupled Vibration ◽

Governing Equations ◽

Coupled Dynamics ◽

Energy Conservation Law

According to energy conservation law, the functional of quasi-variational principle of rigid-elastic coupled dynamics is established. Quasi-stationary value conditions of quasi-variational principle of rigid-elastic coupled dynamics are derived. The governing equations of rigid-elastic coupled dynamics are obtained. As an application of rigid-elastic coupled dynamics, an approach of coupled vibration mode determined of unrestrained beam is established. The coupled vibration mode and coupled frequency are studied by the approach.

Download Full-text

Multi-symplectic integrator of the generalized KdV-type equation based on the variational principle

Scientific Reports ◽

10.1038/s41598-019-52419-8 ◽

2019 ◽

Vol 9 (1) ◽

Author(s):

Yi Wei ◽

Xing-Qiu Zhang ◽

Zhu-Yan Shao ◽

Jian-Qiang Gao ◽

Xiao-Feng Yang

Keyword(s):

Variational Principle ◽

Energy Conservation ◽

Conservation Law ◽

Kdv Equation ◽

Type Equation ◽

Momentum Conservation ◽

Generalized Kdv Equation ◽

Pseudo Spectral Method ◽

Pseudo Spectral ◽

Energy Conservation Law

Abstract The variational principle is used to construct a multi-symplectic structure of the generalized KdV-type equation. Accordingly, the local energy conservation law, the local momentum conservation law, and the Cartan form of the generalized KdV-type equation are given. An explicit multi-symplectic scheme for the generalized KdV equation based on the Fourier pseudo-spectral method and the symplectic Euler scheme is constructed. Through a numerical examination, the explicit multi-symplectic Fourier pseudo-spectral scheme for the generalized KdV equation not only preserve the discrete global energy conservation law and the global momentum conservation law with high accuracy, but show long-time numerical stability as well.

Download Full-text

SOLUTION OF SELECTED ENTRANCE EXAMINATION PROBLEMS ON PHYSICS WITH THE HELP OF ENERGY CONSERVATION LAW IN ELECTRIC CIRCUITS OF CAPACITORS AND EMF SOURCES

Modern Technologies in Science and Education MTSE-2020, Vol.10 ◽

10.21667/978-5-6044782-8-8-142-145 ◽

2020 ◽

Author(s):

I.G. Vesnov ◽

◽

A.P. Sokolov ◽

Keyword(s):

Energy Conservation ◽

Conservation Law ◽

Entrance Examination ◽

Electric Circuits ◽

Energy Conservation Law

Download Full-text

Reduced energy conservation law for magnetized plasma

Physica Scripta ◽

10.1088/0031-8949/50/3/013 ◽

1994 ◽

Vol 50 (3) ◽

pp. 293-297 ◽

Cited By ~ 9

Author(s):

Petro P Sosenko ◽

Viktor K Decyk

Keyword(s):

Energy Conservation ◽

Conservation Law ◽

Magnetized Plasma ◽

Energy Conservation Law

Download Full-text

A New Highway Safety Model Based on Cellular Automata

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.989-994.2340 ◽

2014 ◽

Vol 989-994 ◽

pp. 2340-2343

Author(s):

Li Xing Li

Keyword(s):

Cellular Automata ◽

Energy Conservation ◽

Traffic Safety ◽

Conservation Law ◽

Highway Safety ◽

Traffic Density ◽

New Model ◽

The Road ◽

The Right ◽

Energy Conservation Law

With the growth of the total mileage of highway. There is great importance in studying highway safety. At the present time, there are little research on traffic safety with the consideration of the Keep-Right-Except-To-Pass Rule, which requires drivers to drive in the right-most lane unless they are passing another vehicle. Based on Cellular Automata, this paper constructs a new model of highway safety with the consideration of the particular Rule. To evaluate the safety of the road, the model proposes a new index based on energy conservation law. After the simulation, the result shows the best traffic density to balance the safety and traffic flux is 20.1133veh/km.

Download Full-text