Physical Review E
American Physical Society
A fully nonlinear modal analysis identifies a critical centerline wave number qc for river meandering that separates long-wavelength bends, which grow to cutoff, from short-wavelength bends, which decay. Exact, numerical, and approximate analytical results for qc rely on the Ikeda, Parker, and Sawai [J. Fluid Mech. 112, 363 (1981)] model, supplemented by dynamical equations that govern the river migration and length. Predictions also include upvalley bend migration at long times and a peak in lateral migration rates at intermediate times. Experimental tests are suggested.
“Critical wavelength for river meandering,” B. F. Edwards and D. H. Smith, Phys. Rev. E Rapid Comm. 63, 045304 (2001) .