Titlebook: Upwind and High-Resolution Schemes; M. Yousuff Hussaini,Bram Leer,John Rosendale Book 1997 Springer-Verlag Berlin Heidelberg 1997 Oscillat

梯田

Uniformly High-Order Accurate Nonoscillatory Schemes. Imes share many desirable properties with total variation diminishing schemes, but TVD schemes have at most first-order accuracy, in the sense of truncation error, at extrema of the solution. In this paper we construct a uniformly second-order approximation, which is nonoscillatory in the sense that

抛媚眼

kidney

ENO Schemes with Subcell Resolution*uous piecewise-smooth function contain information about the exact location of the discontinuity within the cell. Using this observation we design an essentially non-oscillatory (ENO) reconstruction technique which is exact for cell averages of discontinuous piecewise-polynomial functions of the app

和蔼

Efficient Implementation of Essentially Non-oscillatory Shock-Capturing Schemes, IIw simplified expression for the ENO construction procedure based again on numerical fluxes rather than cell-averages. We also consider two improvements which we label ENO-LLF (local Lax—Friedrichs) and ENO-Roe, which yield sharper shock transitions, improved overall accuracy, for lower computational

arbiter

ingrate

MEET

Book 1997ng higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods and now known as "high-resolution schemes". Together with introductions from the editors written from the modern vantage point this volume collects in one place many of the most signif