Hydrodynamics -Advanced Topics 348 compression was firstly presented by J.R. Asay at Sandia National Laboratory [10] . In last decade, this planar loading technique had being developed fastly and accepted by many researchers in the world, such as France [11] , United Kingdom [12] ,and China [13] . As J.R. Asay said, it will be a new experimental technique widely used in shock dynamics, astrophysics, high energy density physics, material science and so on. The process of magnetically driven quasi-isentropic compression is typical magnetodynamics [14] , which refers to dynamic compression, magnetic field diffusion, heat conduction and so on. As described above, the electrical explosion of metallic foil and magnetically driven quasiisentropic compression is typically magnetohydrodynamic problem. Although it develops fastly and maybe many difficulties and problems exist in our work, we present our important and summary understanding and results to everyone in experiments and simulations of electrical explosion of metallic foil and magnetically driven quasi-isentropic compression in last decade. In the following discussions, more attentions are paid to the physical process, the experimental techniques and simulation of electrical explosion of metallic foil and magnetically driven quasi-isentropic compression.