1 citations · 1 across the 3 of their papers we have counts for
3 papers
physics.comp-ph2019
Anti-diffusive, Non-oscillatory Central (adNOC) scheme to solve the shallow water equations over an erodible substrate in two dimensions
Haseeb Zia, Guy Simpson
Shallow water surface flows commonly entrain sediments, resulting in scouring and/or deposition of the underlying substrate that may strongly influence the pattern of subsequent fl…
physics.comp-ph2019
Anti-diffusive, non-oscillatory central difference scheme (adNOC) suitable for highly nonlinear advection-dominated problems
Haseeb Zia, Guy Simpson
Explicit non-oscillatory central difference schemes become excessively diffusive when applied to highly nonlinear advection problems where small time steps are necessary to maintai…
physics.comp-ph2019★ 1 cited
Well-balanced, anti-diffusive non-oscillatory central difference (adNOC) scheme for the shallow water equations with wet-dry fronts
Haseeb Zia, Guy Simpson
We present a central differencing scheme for the solution of the shallow water equations with non-flat bottom topography and moving wet-dry fronts. The problem is numerically chall…