The moving discontinuous Galerkin finite element method with interface condition enforcement is applied to the case of viscous flows. This uses a weak formulation that separately enforces conservation law, constitutive and corresponding conditions in order provide means detect interfaces or underresolved flow features. To satisfy resulting overdetermined formulation, discrete domain geometry in...

We performed relativistic magnetohydrodynamic simulations of the hydrodynamic boosting mechanism for relativistic jets explored by Aloy & Rezzolla (2006) using the RAISHIN code. Simulation results show that the presence of a magnetic field changes the properties of the shock interface between the tenuous, overpressured jet (V z j ) flowing tangentially to a dense external medium. Magnetic field...

Viscous fingering patterns that occur at the interface between two immiscible fluids of differing viscosities in a Hele-Shaw cell are normally studied mathematically via nonlinear moving boundary problem with single interface. Here we study more realistic model which involves doubly connected region viscous fluid bounded by interfaces. We simulate this numerically using level set method, suppor...

We report on the diffusive flow anisotropies observed in low-energy protons during intensity increases at Voyager 1 in 2001 and 2002. We propose that the unusual increased intensities after mid-2002 are due to particles accelerated by the solar wind termination shock or by the turbulent interface between the high-speed and low-speed solar wind flows. Fig. 1. (top) Three-day moving average inten...

The evolution of the corrosion interface separating the uncorroded concrete part and the corroded part of a partially wet concrete wall of a pipe under the innuence of hydrogen sullde can be modelled by a moving boundary problem for three coupled one-dimensional diiusion equations. We show that the problem formulated via weak solutions is well-posed. The function describing the position of the ...