Upwind and High-Resolution Schemes

One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows. This volume contains many of the most significant papers in the field of the development of high-resolution schemes, as occurred at ICASE.

---

One of the major achievements in computational fluid dynamics has been the development of numerical methods for simulating compressible flows, combining higher-order accuracy in smooth regions with a sharp, oscillation-free representation of embedded shocks methods, now known as 'high-resolution schemes'. This volume contains many of the most significant papers in the field of the development of high-resolution schemes, as occurred at ICASE. The first chapter covers the early development of approximate Riemann solvers in the context of monotonic schemes, whilst the second chapter consists of papers dealing with second-order total-variation-diminishing (TVD) schemes. The third chapter presents papers which provide a historical development of total-variation-bounded (TVB) schemes at ICASE. Finally, the fourth chapter collects together papers pertaining to inherently multidimensional schemes, which preserve the favourable features of their one-dimensional predecessors.