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Based on incomplete statistics, China has about 3,000 historical buildings, and most of them were built in the west plateau areas. Study on fire protection of these historical buildings with water mist has been received a considerable attention currently. The purpose of this paper is to investigate the effects of ambient pressure conditions on characteristics of water mist system, such as flow coefficient,...
In this paper convection-dominated problem is considered. The problem will lead to large oscillation since the coefficient of diffusion term is small. Firstly, the analytical solution is decomposed into the smooth component and the singular component. Secondly, Runge-Kutta method is applied to solve the equation outside the boundary layer. Thirdly, Petrov-Galerkin finite element method with piecewise-exponential...
In this paper the equation with periodical condition and small parameter is considered. The equation will lose boundary condition and lead to large oscillation in boundary layer. The properties of the equation is studied firstly. The analytical solution is decomposed into the smooth component and the singular component. The asymptotic solution is proposed secondly. The asymptotic solution is used...
Parabolic partial differential equation with periodical boundary value condition is considered. The equation also contains small parameter in x direction and different small parameter in t direction. The present of small parameter leads to boundary layer phenomena in both side of x direction and bottom side of t direction. The solution changes rapidly near three boundary layer. Left boundary layer...
Ordinary differential equation with small parameter is considered in this paper. This kind of problem changes rapidly in both side of boundary layer. Firstly, the asymptotic solution of the problem is presented in order one. The asymptotic solution is used to solve the problem outside the boundary layer. Secondly, the analytical solution is decomposed into the smooth component and the singular component...
Parabolic partial differential equation with small parameter in x direction and different small parameter in t direction is considered. This kind of problem leads to boundary layer phenomena in both side of x direction and bottom side of t direction. The analytical solution changes rapidly near three boundary layer. Firstly, the asymptotic solution with order one for all small parameter is studied...
Singularly perturbed ordinary differential equation with two small parameters is considered. Firstly, the solution is decomposed into the smooth component and the singular component. The upper bounds of the smooth component and the singular component are studied. Secondly, the traditional Shishkin's scheme is presented and it is proved to be uniformly convergent with respect to the small parameter...
Time-dependent convection diffusion equation, with a discontinuous data and large Reynolds number, is examined. This kind of problem leads to interior layer phenomena due to the discontinuity. The solution changes rapidly near interior layer. Traditional finite volume method is applied. Two efficient numerical methods are constructed. One is Shishkin's finite volume method. Another is improved-Shishkin's...
Monitoring seasonal changes in vegetation activity over wide areas is essential for many applications, Satellite remote sensing offers a systematic and objective means for detecting and monitoring ecological environment.A large amount of satellite remote sensing data at different spatial, spectral and temporal resolutions was proved to estimate Land cove change.One of the most widely used approaches...
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