Shock waves in plasma are usually dealt with using magnetohydrodynamics (MHD). Yet, MHD entails the assumption of a short mean free path, which is not fulfilled collisionless plasma. Recently, for pair plasmas, we devised model allowing one to account kinetic effects within MHD-like formalism. Its relies on an estimate anisotropy generated when crossing front, subsequent assessment stability th...

Blast-wave-driven hydrodynamic instabilities are studied in the presence of a background B-field through experiments and simulations high-energy-density (HED) physics regime. In conducted at Laboratoire pour l’utilisation des lasers intenses (LULI), laser-driven shock-tube platform was used to generate hydrodynamically unstable interface with prescribed sinusoidal surface perturbation, short-pu...

The magnetohydrodynamics (MHD) equations are generally known to be difficult solve numerically, due their highly nonlinear structure and the strong coupling between electromagnetic hydrodynamic variables, especially for high Reynolds numbers. In this work, we present a scalable augmented Lagrangian preconditioner finite element discretization of $B$-$E$ formulation incompressible viscoresistive...

We study the local well-posedness for an interface with surface tension that separates a perfectly conducting inviscid fluid from vacuum. The flow is governed by equations of three-dimensional ideal compressible magnetohydrodynamics (MHD), while vacuum magnetic and electric fields are supposed to satisfy pre-Maxwell equations. tangential interface. This renders nonlinear hyperbolic-elliptic cou...

Magnetohydrodynamics (MHD) stagnation point flow in a porous medium with velocity slip is investigated this study. The governing system of partial differential equations transformed into set non-linear ordinary by using the similarity transformation. Subsequently, are numerically solved shooting method MAPLE software. skin friction coefficient and local Nusselt number obtained presented graphic...

In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by free surface. An electromagnetic field generated some currents an external keeps MHD flow domain. On surface, boundary conditions for and transmission fields are imposed. We proved local well-posedness general setting domains from mathematical point view. The solutions obta...

Time-dependent three-dimensional magnetohydrodynamics (MHD) simulation modules are implemented at the Joint Science Operation Center (JSOC) of the Solar Dynamics Observatory (SDO). The modules regularly produce three-dimensional data of the time-relaxed minimum-energy state of the solar corona using global solar-surface magnetic-field maps created from Helioseismic and Magnetic Imager (HMI) ful...

The paper reviews recent studies of supersonic/hypersonic flow and shock wave control using plasma energy addition and magnetohydrodynamics (MHD), focusing on the work by the Princeton University group and their collaborators. Applications include sonic boom mitigation and optimization of scramjet inlets. Experimental and computational studies of interaction of oblique shocks with laser-generat...

Simulated annealing (SA) is a kind of relaxation method for finding equilibria Hamiltonian systems. A set evolution equations solved with SA, which derived from the original system so that energy changes monotonically while preserving Casimir invariants inherent to noncanonical The extremum reached by SA an equilibrium. Since searches extremum, it can also be used stability analysis when initia...