2134/13367
Ryan N. Hill
Ryan N.
Hill
Joanna Szmelter
Joanna
Szmelter
A multidimensional positive definite remapping for Lagrangian solutions of the Noh problem
Loughborough University
2013
ALE remapping
MPDATA gauge
Conservative interpolation
Noh problem
Mechanical Engineering not elsewhere classified
Mechanical Engineering
2013-10-15 13:45:36
Journal contribution
https://repository.lboro.ac.uk/articles/journal_contribution/A_multidimensional_positive_definite_remapping_for_Lagrangian_solutions_of_the_Noh_problem/9567413
A remapping based on the multidimensional positive definite advection transport algorithm (MPDATA), implemented for ALE methods, is used to model the Noh problem. Typical solutions in the Lagrangian reference frame contain heating errors which arise during the simulation of a shock reflection originating at a wall. The paper shows that the inherent properties of MPDATA can be exploited in the remapping to reduce wall heating errors. The resulting increase in accuracy and symmetry of solutions is demonstrated.