Fig 7. Comparison of pressure fields computed via hybrid and CN approaches.

(a) The pressure fields are displayed for two configurations of interest: (i) centered and (ii) off-centered single coupling of an arteriolar vessel in a 6-regular capillary network. The coupling point is indicated by a large orange dot. In the off-centered case, the coupling condition is either distributed among neighbouring cells ${\Omega }_{FV,neigh}^s$ or not. (b) Pressure profiles are plotted along a line of interest, which is indicated by orange dashes in (a). The reference pressure field from CN approach is represented by orange crosses. Green steps represent cell pressures of the FV representation, blue and red lines respectively represent linear and spherical approximations. Black dashed lines represent the limit of ${\Omega }_{FV,neigh}^s$, where pressure field is approximated by analytical solutions. The reconstructed pressure field of the hybrid approach is finally obtained by combining solid lines. The asymmetry of the field far away from the source is caused by the imposed boundary conditions at the limits of the domain. Here π_ref = 5 000 Pa is a reference pressure value used for nondimensionalization.