Finite Volume Simulation of Gasdynamics and Magnetogasdynamics Equations

ELASKAR, SERGIO; FALCINELLI, OSCAR; TAMAGNO, JOSÉ; MAGLIONE, LIVIO

Desarrollo y avances en Métodos Numéricos para Ingeniería y Ciencias Aplicadas.

Sociedad Venezolana de Métodos Numéricos

Lugar: Caracas; Año: 2007; p. 1 - 6

<!-- /* Style Definitions */ p.MsoNormal, li.MsoNormal, div.MsoNormal {mso-style-parent:""; margin:0cm; margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:12.0pt; font-family:"Times New Roman"; mso-fareast-font-family:"Times New Roman"; mso-fareast-language:ES;} @page Section1 {size:612.0pt 792.0pt; margin:70.85pt 3.0cm 70.85pt 3.0cm; mso-header-margin:36.0pt; mso-footer-margin:36.0pt; mso-paper-source:0;} div.Section1 {page:Section1;} --> Two numerical codes are been developing. The first one solves 2D, time-dependent, viscous and resistive MGD flows using structured meshes. The second code solves 3D, time-dependent, Euler equations, using non-structured meshes. Both codes use finite volumes method; for computing of the hyperbolic fluxes, an approximated Riemann solver together with a Harten-Yee TVD scheme is utilized. For the diffusive contributions a second order finite difference scheme is employed. A new algorithm for artificial viscosity reduction is presented. Numerical results obtained using both software are presented. These results are in agreement with those reported in the specialized literature.