We investigate numerically unsteady wave patterns causing by injecting particles in one-dimensional pipe flows. Numerical simulations are performed using two-dimensional and axisymmetric vectorized adaptive solver. Coupling interaction of particles and flow and variation of flow parameters are highlighted. It is found that several kinds and intensities of wave patterns induced at different particle temperature and flow velocity are shown. We discuss wave patterns resulting by adding mass and heating interaction. Physics parameters in these flow field regions are given. In addition, phase diagrams about intensity of wave patterns are obtained to show flow field influenced by changing parameters.

Development of Richtmyer-Meshkov instability induced by a converging shock wave and its reflected shock from converging center is numerically investigated in which emphasis is on eccentricity effect. VAS2D uses finite volume method which has a secondorder precision in both temporal and spatial scales. Four types of 2-dimensional SF₆ column (circle, small-amplitude single-mode, large-amplitude single mode and square) surrounded by air are adopted. Interface morphologies show that development of RM instability in eccentric case results from perturbation growth in concentric case combined with little perturbation growth caused by eccentricity. For interface without initial perturbation, eccentricity results in appearance of tiny perturbation structures. For interfaces with initial perturbation, eccentricity makes perturbation structures asymmetric and distorted. Meanwhile, eccentricity affects pressure of interface center and area of mixed zone, which are closely related to development of RM instability.

A magnetohydrodynamic simulation method is developed for shock interacting with rectangular density interface in a magnetic field. The method employs 3rd WENO scheme and mixed GLM method. With circular polarized Alfvén wave propagation test and rotated shock tube problem,the method is validated. Under conditions that Mach number of shock is 10 and ratio of density of cloud to ambient gas is 10,evolutions of shocked interface in different initial orientations and strengths of magnetic field are compared.It shows that magnetic field decreases vorticity formed on surface and reduces growth of hydrodynamic instabilities; Field influences acceleration and mixing rate of cloud; And field is greatly amplified in some regions behind shock when cloud is presented. It is also found that,due to sharp corner,evolution of rectangular interface is different from circular one.