E. J. Caramana

TL;DR: In this article, it is shown how conservation of total energy can be utilized as an intermediate device to achieve this goal for the equations of fluid dynamics written in Lagrangian form, with a staggered spatial placement of variables for any number of dimensions and in any coordinate system.

TL;DR: In this article, the authors present a new formulation of the artificial viscosity concept and a set of criteria that any proper functional form of the Artificial Viscosity should satisfy, including dissipative, transferring kinetic energy into internal energy and never acting as a false pressure.

TL;DR: In this paper, a semi-implicit algorithm for the solution of the nonlinear, three-dimensional, resistive MHD equations in cylindrical geometry is presented, which assumes uniform density and pressure, although this is not a restriction of the method.

TL;DR: In this article, the authors show how to eliminate the long-thin zone problem by the proper use of subzonal Lagrangian masses, and associated densities and pressures, which give rise to forces that resist these spurious motions.

TL;DR: In this article, a numerical algorithm for the solution of fluid dynamics problems with moderate to high speed flow in three dimensions is presented. But the problem of exactly preserving one-dimensional spherical symmetry in three-dimensional geometry is solved.