Abstract
Numerical models based on flux-difference splitting (FDS) technique are developed for simulating rapidly varied flows in two-dimensional space co-ordinates. A first-order accurate model using Roe's numerical flux and a second-order accurate scheme using Lax-Wendroff numerical flux are constructed. Roe's averaging for velocity and celerity ensures conservation and consistency while entropy satisfying solution is guaranteed by theoretically sound treatment. Flux limiters used in second-order accurate model yields oscillation-free results while maintaining high shock-resolution. The models' validity and applicability are demonstrated by comparing computed results with analytical and experimental results for some exacting hydraulic problems.
