Oral Presentation

Conservative grid functions remapping method for Lagrangian operator-difference scheme for astrophysical MHD problems.

Author(s): Sergey Moiseenko (Space Research Institute, Moscow, Russia); Gennady Bisnovatyi-Kogan (Space Research Institute, Moscow, Russia); Nikolai Ardelyan ( Moscow State University, Moscow, Russia)

Presenter: Sergey Moiseenko (Space Research Institute, Moscow, Russia)

Application of Lagrangian numerical methods for the simulation of astrophysical MHD problems has a number of advanages. The Lagrangian mesh allows to allocate free boundary, to concetrate or rarefy the grid according to the flow features. Newertheless the Lagrangian grid can be distorted when one simulates fluid flows with nonunifirm contraction or expansion, with vortexes or shear flows. In such sitation the Lagrangian grid has to be remapped and grid functions to be interpolated on a new grid. We suggest conservstive method for interpolation of the grid functions on a new grid based on a conditional minimization of specially constructed functionals. Examples of application of such procedure will be given in the presentation.