Keeping the edge: A numerical method that avoids knickpoint smearing when solving the stream power law

摘要: The stream power equation is commonly used to model river incision into bedrock. Although specific conditions allow an analytical approach, finite difference methods (FDMs) are most frequently solve this equation. FDMs inevitably suffer from numerical smearing which may affect their suitability for transient modeling. We propose the use of a volume method (FVM) total variation diminishing (TVD) simulate in more accurate way. TVD_FVM designed sharp discontinuities, making it very suitable pulses. show that much better capable preserving propagating knickpoints than FDMs, using Niagara Falls as example. Comparison results obtained with solutions shows good agreement. Furthermore, uncertainty associated parameter calibration dramatically reduced when applied. high accuracy TVD_FDM allows correct simulation waves consequence older uplift This implies reconstruct regional histories current profile morphology and processes general.