1 research outputs found
Higher Order Central Schemes for Multi-dimensional Hyperbolic Problems
Different ways of implementing dimension-by-dimension CWENO reconstruction
are discussed and the most efficient method is applied to develop a fourth
order central scheme for multi-dimensional hyperbolic problems. Fourth order
accuracy and shock capturing nature of the scheme are demonstrated in various
nonlinear multi-dimensional problems. In order to show the overall performance
of the present central scheme numerical errors and non-oscillatory behavior are
compared with existing multi-dimensional CWENO based central schemes for
various multi-dimensional problems. Moreover, the benefits of the present
fourth order central scheme over third order implementation are shown by
comparing the numerical dissipation and computational cost between the two