Central Schemes for Balance Laws
A brief review is given of shock capturing central schemes for the numerical solution of hyperbolic systems of balance laws. It is shown how to construct high order schemes for conservation laws on a staggered mesh, by using Central Weighted Essentially Non-Oscillatory reconstruction, and how to construct second order central schemes for systems with stiff source which are accurate in the stiff limit. The development of higher order schemes for systems with stiff source is also discussed.
KeywordsHyperbolic System Central Scheme Stagger Grid WENO Scheme High Order Scheme
Unable to display preview. Download preview PDF.
- 9.L. Pareschi, Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms, Preprint (2000).Google Scholar
- 10.L. Pareschi, G. Puppo, G. Russo, Central Runge Kutta schemes, in preparation.Google Scholar
- 11.C.-W. Shu, Essentially Non-Oscillatory and Weighted Essentially Non-Oscillatory Schemes for Hyperbolic Conservation Laws in Advanced Numerical Approximation of Nonlinear Hyperbolic Equations, Lecture Notes in Mathematics (editor: A. Quarteroni ), Springer, Berlin (1998).Google Scholar