It is shown that various closed circuits formed by line-shaped metallic particles in composite induce great permeability. Effect of temperature on magnetic response is weak. Based upon effective medium theory,electric and magnetic response of composites containing line-shaped tungsten particles are addressed. Microwave absorbing composites are designed and optimized, which may be applied in high temperature circumstances.

In the framework of diffuse interface method (DIM), an efficient hybrid method for muhiphase flows with large density ratios is proposed. Lattice Boltzmann method is employed to obtain information of flow field. Cahn-Hilliard (C-H) equation is directly solved to identify the interface. In order to maintain stabihty of calculation at large density ratios, convection term of C-H equation is discretized by using second order unwind scheme. Numerical simulations of Rayleigb-Taylor (R-T) instability, bubble rising in liquid and droplet impact on a dry surface are implemented. The results agree well with data in literature.

We present 2D and 3D discrete mathematical models for migratory response of endothelial cells inside and outside a metastasic tumor based on a physiological fact that some primary tumor can inhibit metastasic tumor growth quickly. In models we consider inhibitory effects of angiostatin excreted by primary tumor, chemotactic effects of TAF due to metastasic tumor and random movement of endothelial cells and simulate spatiotemporal evolution of microvascular network inside and outside the metastasic tumor. It shows that the angiostatin excreted by primary tumor has obviously inhibitory effects on vascular growth rates, bifurcation amount and development of microvascular network inside and outside the metastasic tumor. Inhibitory effects of angiostatin decrease revascularization of a metastasic tumor and suppress growth of the metastasic tumor in tumor therapy. It provides theoretical references for experimental research on clinical anti-angiogenesis.