Now showing items 1-3 of 3
Central Discontinuous Galerkin Methods on Overlapping Cells with a Non-Oscillatory Hierarchical Reconstruction
(Georgia Institute of Technology, 2006-08-28)
The central scheme of Nessyahu and Tadmor [J. Comput. Phys, 87 (1990)] solves hyperbolic conservation laws on a staggered mesh and avoids solving Riemann problems across cell boundaries. To overcome the difficulty of ...
Hierarchical Reconstruction with up to Second Degree Remainder for Solving Nonlinear Conservation Laws
(Georgia Institute of Technology, 2009-07-31)
The hierarchical reconstruction (HR) [Liu, Shu, Tadmor and Zhang, SINUM ’07] can effectively reduce spurious oscillations without local characteristic decomposition for numerical capturing of discontinuous solutions. ...
Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes
(Georgia Institute of Technology, 2006-10-30)
This is the continuation of the paper "central discontinuous Galerkin methods on overlapping cells with a non-oscillatory hierarchical reconstruction" by the same authors. The hierarchical reconstruction introduced therein ...