Piecewise Potential Vorticity Inversion without Far-Field Response?

Abstract Given a flow domain D with subdomains D1 and D2, piecewise potential vorticity inversion (PPVI) inverts (PV) anomaly in D2 assumes vanishing PV where boundary conditions must be taken into account. It is widely held view that the exerts far-field influence on D1, which revealed by PPVI. Tests of this assertion are conducted using simple quasigeostrophic model an upper layer contains underneath. This inverted. Any downward physical impact also represented results density (PDI) based hydrostatic relation as following from There no doubt about mass lower D1. Thus PPVI PDI have to agree closely. First, applied locally confined D2. “response” if stationarity imposed. Modifications lead “induced” flows but differ widely. leads proof there anomalies Wave patterns streamfunction restricted prescribed second series tests. The related obtained differentiation case. approach illustrates basic procedure derive fields observations excludes response.