Positive Schemes for Solving Multi-dimensional Hyperbolic Systems of Conservation Laws
| Author(s) : | Peter D. Lax Xu-dong Liu, |
| Publisher : | N/A |
| Publication Date : | 1995 |
| ISSN : | N/A |
| Abstract : | To Tony Jameson, master of computational fluid dynamics, with friendship and admiration This paper introduces a new positivity principle for numerical schemes for solving hyperbolic systems of conservation laws in many space variables. A family of positive schemes has been designed that are second order accurate in the space variables. Second order accuracy in time is achieved by a second order accurate energy conserving Runge-Kutta method due to Shu, [17] and [18]., |