We consider multiphysics applications from algorithmic and architectural perspectives,
where “algorithmic” includes both mathematical analysis and computational complexity, and …

This review aims at providing an up-to-date status and a general introduction to the subject
of the numerical study of energetic particle acceleration and transport in turbulent …

We present a description of the adaptive mesh refinement (AMR) implementation of the
PLUTO code for solving the equations of classical and special relativistic …

Many astrophysical processes involving magnetic fields and quasi-stationary processes are
well described when assuming the fluid as a perfect conductor. For these systems, the ideal …

The conceptual development and implementation of a scalable nonlinear solver for the time-
dependent three-dimensional (3D) compressible resistive magnetohydrodynamics model …

This paper explores the development of a scalable, nonlinear, fully-implicit stabilized
unstructured finite element (FE) capability for 2D incompressible (reduced) resistive MHD …

Conclusions The ADI-SGS scheme are implemented to the ideal magnetohydrodynamic
equations with a finite-volume method using a Riemann solver. The ADI-SGS scheme is an …

In this paper, the coupled equations in velocity and magnetic field for unsteady
magnetohydrodynamic (MHD) flow through a pipe of rectangular section are solved using …

In this paper, we analyze the flow and heat transfer characteristics of a
magnetohydrodynamic (MHD) viscoelastic fluid in a parallel plate channel with a stretching …

A temporally staggered algorithm for advancing solutions of the two-fluid plasma model is
analyzed with von Neumann's method and with differential approximation. The implicit …