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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 ...
Central Schemes on Overlapping Cells
(Georgia Institute of Technology, 2004)
Nessyahu and Tadmor's central scheme (J. Comput. Phys, 87(1990)) has the benefi t of not using Riemann solvers or characteristic decomposition for solving hyperbolic conservation laws and related convection
diffusion ...
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 ...
Central Schemes and Central Discontinuous Galerkin Methods on Overlapping Cells
(Georgia Institute of Technology, 2005)
The central scheme of Nessyahu and Tadmor (J. Comput. Phys, 87(1990)) has the bene t of not having to deal with the solution within the Riemann fan for solving hyperbolic conservation laws and related equations. But the ...