On the construction of schemes of higher-order of accuracy in calculating flows of a viscous liquid using B-Splines

ON THE CONSTRUCTION OF A THIRD-ORDER ACC

ON THE CONSTRUCTION OF A THIRD-ORDER ACCURATE MONOTONE CONVECTION SCHEME WITH APPLICATION TO TURBULENT FLOWS IN GENERAL DOMAINS

✍ M. ZIJLEMA 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 1019 KB

A formally third-order accurate finite volume upwind scheme which preserves monotonicity is constructed. It is based on a third-order polynomial interpolant in Leonard's normalized variable space. A flux limiter is derived using the fact that there exists a one-to-one map between normalized variable