Error propagation dynamics of velocimetry-based pressure field calculations (2): on the error profile

Abstract A recent study investigated the propagation of error in a velocimetry-based pressure (V-pressure) field reconstruction problem by directly analyzing properties Poisson equation (Pan et al 2016 Meas. Sci. Technol. 27 084012). In present work, we extend these results quantifying effect profile data (shape/structure space) on resultant reconstructed field. We first calculate mode that maximizes field, which is most dangerous (called worst work). This calculation equivalent to finding principle of, for example, an Euler–Bernoulli beam one-dimension and Kirchhoff–Love plate two-dimensions, thus connecting V-pressure from experimental fluid mechanics buckling elastic bodies mechanics. Taking advantage this analogy, then analyze how (e.g. spatial frequency location concentrated error) coupled with fundamental features flow domain (i.e. size, shape, dimension domain, configuration boundary conditions) significantly affects pressure. Our analytical lend practical applications two ways. First, minimization can be achieved avoiding low profiles similar case scenarios at sensitive locations. Second, small amounts data, if case, cause significant field; such synthetic used benchmark algorithms.