SIMULATIONS DESCRIPTION TEST IMPLEMENTATION: see that the matrices, eigenvalues, and output is correctly done rectangular domain, 1x1 m^2, mixed-size, BC=downstream lowering, IC=equilibrium I1 2 size fraction, degradation into coarse substrate (well-posed) I2 2 size fraction, degradation into fine substrate (ill-posed) I3 3 size fraction, degradation into coarse substrate (well-posed) I4 2 size fraction, degradation into alternate fine-coarse layers (ill-well-posed) TEST LINEAR ANALYSIS: see whether initial imposed oscillations grow or decay rectangular domain, 1000xB m^2, unisize, BC=contant, IC=equilibrium + infinitesimal alternate bars L1 B=22, sec.flow=N (growth) L2 B=17, sec.flow=N (decay) L3 B=22, sec.flow=N (decay) RESULTS OF LINEAR ANALYSIS: see whether it is ill-posed or well-posed rectangular domain, 100x10 m^2, unisize, BC=constant, IC=equilibrium bed slope effect B1 yes (well-posed) B2 no (ill-posed) secondary flow effect S1 no diffusion (ill-posed) S4 diffusion (well-posed) ASHIDA experiments by Ashida et al. (1990), sine-generated flume. secondary flow A1.1 (L013) no secondary flow (unrealistic) A1.2 (L015) Dh=1.6e-4 (ill-posed) A1.3 (L016) Dh=0.50 (well-posed, too flat) bed slope effects A2.1 (L017) Talmon (ill-posed, but no oscillations) A2.2 (L018) Sekine (well-posed, but no oscillations) A2.3 (L028) N=10 (unrealistic) finer substrate A3.1 (L027)