Generalized plane delta shock waves for the n-dimensional zero-pressure gas dynamics with energy conservation law

2019 ◽  
Vol 50 (4) ◽  
pp. 1067-1086
Author(s):  
Yanyan Zhang ◽  
Yu Zhang
Keyword(s):  
Shock Waves ◽  
Energy Conservation ◽  
Conservation Law ◽  
Gas Dynamics ◽  
Delta Shock ◽  
Delta Shock Waves ◽  
Energy Conservation Law

scholarly journals Interactions of Delta Shock Waves for Zero-Pressure Gas Dynamics with Energy Conservation Law

2016 ◽  
Vol 2016 ◽  
pp. 1-12
Author(s):  
Wei Cai ◽  
Yanyan Zhang
Keyword(s):  
Theoretical Analysis ◽  
Shock Waves ◽  
Initial Data ◽  
Gas Dynamics ◽  
Riemann Solutions ◽  
Piecewise Constant ◽  
Delta Shock ◽  
Vacuum States ◽  
Delta Shock Waves ◽  
Energy Conservation Law

We study the interactions of delta shock waves and vacuum states for the system of conservation laws of mass, momentum, and energy in zero-pressure gas dynamics. The Riemann problems with initial data of three piecewise constant states are solved case by case, and four different configurations of Riemann solutions are constructed. Furthermore, the numerical simulations completely coinciding with theoretical analysis are shown.

scholarly journals Delta shock waves in chromatography equations

2011 ◽  
Vol 380 (2) ◽  
pp. 475-485 ◽  
Author(s):  
Hongjun Cheng ◽  
Hanchun Yang
Keyword(s):  
Shock Waves ◽  
Delta Shock ◽  
Delta Shock Waves

Reduced energy conservation law for magnetized plasma

1994 ◽  
Vol 50 (3) ◽  
pp. 293-297 ◽  
Author(s):  
Petro P Sosenko ◽  
Viktor K Decyk
Keyword(s):  
Energy Conservation ◽  
Conservation Law ◽  
Magnetized Plasma ◽  
Energy Conservation Law

A New Highway Safety Model Based on Cellular Automata

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.

scholarly journals Local energy conservation law for a spatially-discretized Hamiltonian Vlasov-Maxwell system

2017 ◽  
Vol 24 (6) ◽  
pp. 062112 ◽  
Author(s):  
Jianyuan Xiao ◽  
Hong Qin ◽  
Jian Liu ◽  
Ruili Zhang
Keyword(s):  
Energy Conservation ◽  
Conservation Law ◽  
Local Energy ◽  
Maxwell System ◽  
Energy Conservation Law
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