The soap bubble heated at the bottom was introduced as a novel quasi-2D turbulence system. The curved geometry of the bubble brings challenges for the direct numerical simulations (DNS) of the turbulence on the bubble. In order to overcome the difficulties due to the curved geometry, a numerical met...
A finite-difference unsteady coupled heat transfer solver was developed. This solver was utilized to simulate the hypersonic flow over a backward-facing step with a transverse gap, and the unsteady thermal conduction in an infinite circular pipe. The backward-facing step leads to local dramatically ...
The computation consumption of finite element analysis for structural optimization design of holding poles is large, and it is difficult to determine the feasible region. The response surface method (RSM) was used to simulate the real response of the holding pole, and an improved arithmetic optimiza...
To avoid transverse shear locking and improve the accuracy, the RES-DSG3 method was proposed through the incorporation of the non-isoparametric DSG method with a novel edge-based smoothing technique based on global coordinates, and all the integration of smoothed matrices can be calculated along the...
Based on the modified couple stress theory and the Timoshenko beam theory, the free vibration and buckling mechanics model for 2D functionally graded microbeams with variable cross sections was established by means of the variational principle. The model contains the intrinsic material length scale ...
The elastic problem of anisotropic functionally graded rotating disks with non-uniform thicknesses was studied. The material properties and thicknesses of the disk change with an arbitrary gradient along the radial direction, and the disk displacement is constrained at the central axis of rotation a...
The propagation dynamics was studied for a class of spatially discrete multi-type SIS epidemic model with time periodicity. Firstly, the theory of spreading speeds and travelling waves for monotonic periodic semiflows was applied to prove the existence of asymptotic spreading speed c*. Secondly, by ...
The existence and non-existence of periodic traveling wave solutions of a class of time-periodic SIR epidemic models with external supplies were considered. Firstly, the appropriate upper and lower solutions of the auxiliary system were built and a closed convex cone was defined, the existence of pe...
The blow-up problems of the solutions are considered for reaction-diffusion equations with nonlocal sources and variable exponents. Firstly, the local existence and uniqueness of solutions to the problem were proved under the fixed-point theorem. Secondly, by means of the super- and sub-solution met...
The fractional-order modified unstable Schrödinger equation (FMUSE) was studied, which describes the dispersion, nonlinearity, gain or absorption variation of optical pulses propagating in nonuniform fiber systems. First, the generalized fractional wave transform was appropriately used to convert th...
