Some phenomena involving intersection of weak shock waves at small angles are considered: the focusing of curved fronts at a&es, the transition between regular and irregular reflection of oblique shock waves on rigid walls and the diffraction patterns arising behind obstacles. The intersection of three shock waves plays a central role in most of these phenomena, giving rise to the von Neumann p...

We consider degenerate viscous shock waves arising in systems of two conservation laws, where degeneracy here describes viscous shock waves for which the asymptotic endstates are sonic to the hyperbolic system (the shock speed is equal to one of the characteristic speeds). In particular, we develop detailed pointwise estimates on the Green’s function associated with the linearized perturbation ...

present paper investigates the numerical solution of two-dimensional unsteady compressible navier-stokes equations by a new scheme based on the finite volume method. kinetic energy preserving (kep) scheme is introduced for solving the supersonic and transonic external compressible flow field on very fine grids (with a number of cells of the order of the reynolds number) without artificial dissi...

A fast mode collisionless bow shock is a permanent feature of the solar wind interaction with the earth. The shock is approxim_ately stationary in earth coordinates, its structure, however, changes in space due to different B; values, and in time, due to different solar wind conditions (Mach number M and 8, T,/ TI...). The earth's bow shock has revealed itself as an impressive tool for studying...

We present MHD numerical simulations of the propagation of Alfvén waves in inhomogeneous magnetic fields whose topology consists of two-dimensional X-points threaded by a nonvanishing normal component. The coupling of the waves with the background field gradients leads to the development of fast-mode shock trains propagating normal to the average normal magnetic field. The fronts occur with a f...

In this paper, we study systems of two conservation laws with homogeneous quadratic flux functions. We use the viscous profile criterion for shock admissibility. This criterion leads to the occurrence of non-classical transitional shock waves, which are sensitively dependent on the form of the viscosity matrix. The goal of this paper is to lay a foundation for investigating how the structure of...

We used ultrafast x radiography and developed a novel multiphase numerical simulation to reveal the origin and the unique dynamics of the liquid-jet-generated shock waves and their interactions with the jets. Liquid-jet-generated shock waves are transiently correlated to the structural evolution of the disintegrating jets. The multiphase simulation revealed that the aerodynamic interaction betw...