In this work, a new formulation for central schemes based on staggered grids is proposed. It is based on a novel approach in which first a time discretization is carried out, followed by the space discretization. The schemes obtained in this fashion have a simpler structure than previous central schemes. For high order schemes, this simplification results in higher computational efficiency. In this work, schemes of order 2 to 5 are proposed and tested, although central Runge–Kutta schemes of any order of accuracy can be constructed in principle. The application to systems of equations is carefully studied, comparing algorithms based on a componentwise extension of the scalar scheme with those based on projection along characteristic directions.
|Data di pubblicazione:||2005|
|Titolo:||Central Runge - Kutta schemes for conservation laws|
|Rivista:||SIAM JOURNAL ON SCIENTIFIC COMPUTING|
|Codice identificativo ISI:||WOS:000227761300013|
|Codice identificativo Scopus:||2-s2.0-19644362553|
|Parole Chiave:||hyperbolic systems, central difference schemes, high order accuracy, WENO re- construction, Runge–Kutta methods|
|Appare nelle tipologie:||Articolo su Rivista|