glugeorge / coupled_ice_hydrology

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Examining impact of slipperier bed (lower basal shear stress term) #7

Open glugeorge opened 1 year ago

glugeorge commented 1 year ago

From Dec 2 discussion, the topic was brought up that merely changing the C constant results in the shrinkage of both the longitudinal and basal shear stress terms in the non-dimensionalization process. In:

image image

We see that C is both in gamma and alpha (through the u0 scale constant) consequently changing that scales the impact of both those terms.

One proposed workaround is to introduce a new dimensionless scale factor (that accounts for unmodelled bed properties) in front of the basal shear stress term to force a slipperier bed.

Another discussion was had about the A_s term, and how in the non-dimensionalized equation, it seems to only impact u0 (and hence could be used as a scaling term for impact of longitudinal stresses), however when the equations are in dimensional form, the A_s term is in denominator and isn't the most valid term to scale with.

As a follow up from that, doesn't the same logic apply to C? It only appears with the basal shear stress term in the dimensional equations, but spreads to both when nondimensionalized. Perhaps the fact that it appears both in the numerator and denominator in the dimensional form makes it also not that valid to scale the term with.