To design a high-order accurate shock capturing method for hyperbolic conservation laws,we introduce a new power limiter to obtain a second-order power NND scheme and a third order power WNND scheme based on modification of NND scheme and WNND scheme.By applying the limiter to first-order differences of the candidate stencils,the power NND scheme and the power WNND scheme reduce the smearing near discontinuities.The power NND scheme and the power WNND scheme show less dissipation and less spurious oscillations,and catch the discontinuities more accurately than NND scheme and WNND scheme.The results of power NND scheme are similar to those of WNND scheme,and even better in some examples.The simulation of forced oscillation of the NACA0012 airfoil by power WNND scheme is in good agreement with experiments.

Based on the successful numerical simulation of the two-dimensional steady heat conduction problem with the Finite Control Volume method (FCV),two methods to solve the two-dimensional steady Inverse Heat Conduction Problem (IHCP),namely,the Sensitivity Method (SM) and the Adjoint Equation Method (AEM),are introduced.After the SM and the AEM are applied to a typical boundary condition inversion problem in a circular domain and the influence of the measurement noise to the inversion accuracy is analyzed,it is shown that both the SM and the AEM are feasible and effective to deal with the two-dimensional steady IHCP.

The molecular dynamics method is employed to study the sticking and desorption of Xenon atoms from a platinum surface.After constructing correct gas-surface interaction potential,the stochastic classic trajectory method is adopted to solve the motion equation of both gas and solid atoms,then the trajectory and behavior of gas atoms can be obtained.The results show that the sticking probability depends on such factors as wall temperature,gas atom incident enenrgy and interaction potential parameters etc.,the thermal desorption rate of gas atoms from platinum surface satisfies Arrhenius correlation.