Abstract: The steady-state solutions of traffic flow in a circled road network composed of 3 road sections and 2 junctions were studied under the assumption of the user equilibrium principle at the diverging junction. The results show that, the solution parameters and the dynamic behavior depend continuously ...
Abstract: The wave impact phenomenon widely exists in nature, ocean and aerospace engineering. When the wave impacts on the large-scale structure, the violent free surface may break and the wave tip entraps the air. As a consequence, wave impact with gas-entrapment may cause localized and large load, which ma...
Abstract: A PN×PN-2 spectral element method based on the Picard linearized iteration was presented for the solution of 2D steady incompressible Navier-Stokes equations. Through the Picard iteration, the Navier-Stokes equations were converted to a series of Stokes-type equations to be solved with thePN×PN-2 sp...
Abstract: The study of intraocular aqueous humor (AH) flow is helpful to understand the mechanism of some eye diseases such as glaucoma. A numerical study of AH flow inside human eyes with the computational fluid dynamics (CFD) were carried out to address the following flow processes: AH secreted in the poste...
Abstract: A thermal protective clothing-air-skin heat conduction model in high temperature environment was established. The analytical solution of heat conduction in a small time period was derived by means of the method of separation of variables under the conditions of equal temperature and continuous heat ...
Abstract: To improve the resolution of the numerical results for the 2D Euler equations, a hybrid scheme of rotational flux was proposed. The algorithm was built under the quasi-1D idea of the rotational flux method, and the flux function was given in the form of a hybrid scheme coupling the entropy stable nu...
Abstract: The curvature flow equations were studied with Neumann boundary conditions and asymptotically periodic coefficients. First, a series of initial value problems and corresponding global solutions were considered. By uniform prior estimates, a subsequence converging to the global solution was obtained....
Abstract: A self-adaptive Uzawa block relaxation method was designed for Stokes problems under nonlinear slip boundary conditions. For the variational formulation of the problem, an auxiliary unknown was introduced to transform the problem into a saddle-point one based on an augmented Lagrangian function, whi...
Abstract: Based on the analysis of the spread of the COVID-19 epidemic in China, a SEIR epidemic model was established with the diagnosed population divided into 2 categories: the admitted population and the non-admitted population. Through theoretical analysis, the basic reproduction number, the disease-free...
Abstract: With the 2nd moment of the investment return as the risk measurement function, a fuzzy portfolio model with the background risk and liquidity considered was established. The 2nd moment of the investment return was minimized under the constraint conditions satisfying the preset return rate, the avera...
Abstract: The small-amplitude solitary periodic wave solutions and the local critical periodic bifurcations of the traveling wave equations for a class of reaction-diffusion equations with quintic nonlinear reaction terms and constant diffusion terms were studied. First, the reaction-diffusion equation was tr...
