TY - JOUR T1 - New Approach to the Limiter Functions AU - Li , Jin AU - Chen , Ze-Min AU - Zhu , Zi-Qiang JO - Journal of Computational Mathematics VL - 1 SP - 41 EP - 58 PY - 1999 DA - 1999/02 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9081.html KW - Finite difference methods, TVD schemes, Limiter Function. AB -
In this paper we discuss three topics on the designing of the limiter functions. (1) To guarantee the TVD property (2) To maintain enough artificial viscosity. (3) A method to form TVB limiter which can ensure second order accuracy even at the extrema of the solution.