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An extended car-following model is proposed by incorporating the anticipative information by vehicle to vehicle. The stability condition of the proposed model is obtained by using the linear stability theory. The results show that the anticipative information can promote the stability of traffic flow. Numerical simulations are carried out, and the results are consonant with the theory ones.
In this paper, we proposed a new car following model based on the Full Velocity Difference (FVD) model, with the acceleration of the front car considered. Compared with the FVD model, the improved model can simulate the motions of cars starting from a traffic signal more nature. Numerical simulation results show that the stability of the improved model is better than the FVD model, with appropriate...
In this paper, based on the mean-field theory, we propose a new susceptible-infected-removed (SIR) model to study epidemic spreading on scale-free networks with traffic flow. Theoretical analysis shows that as the network traffic flow increases, the epidemic prevalence is obviously enhanced, and the epidemic threshold is reduced. We also find that the epidemic threshold is related to the ratio between...
This paper used the finite element method to analyze the cerebrovascular bifurcation. By comparison, we constructed two intracranial artery bifurcation vessel models with different angles, and considered different model how to influence vascular blood flow based on the basic principles of hemodynamics. Through experiment, we mainly computed the value of blood velocity and wall pressure, and compared...
The paper presents a thermodynamic model for a scroll compressor used for Compressed Air Energy Storage. The model includes energy conservation equation, instantaneous volume equation and gas leakage equation. The numerical simulation results are achieved by means of the 4th order Runge-Kutta method under Matlab and are compared with the experimental values. Different performance parameters of the...
By analyzing hydrogeological conditions of panxi coal, the coupling mathematical model of heat-transfer is developed in surrounding rock.Temperature field and seepage field distribution of fracture rock is described by using heat-transfer and seepage differential equations. Combined with boundary condition and parameters, the numerical solution is obtained by using numerical software. The results...
The pseudo-MOS transistor (Psi-MOSFET characteristics) is a simple and successful technique for the monitoring of silicon-on-insulator (SOI) wafer quality. To characterize modern ultrathin films, a reconsideration and review of Psi-MOSFET physics and models is required. Selected numerical simulations are presented, which shed light on the intriguing features governing Psi-MOSFET characteristics. Updated...
State estimation base on a nonlinear programming model is presented (NLSE), which is applied the vectorization mode. We choose the L2 norm estimation as object. The nonlinear programming with equality constraint introduced slack variables, can guarantee the robust of the algorithm and dispose the convergence problem. The symmetric coefficient matrix of correction equation can be used by apply the...
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