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Fig. 6 | Journal of Engineering Mathematics

Fig. 6

From: Nanoparticle uptake by a semi-permeable, spherical cell from an external planar diffusive field. II. Numerical study of temporal and spatial development validated using FEM

Fig. 6The alternative text for this image may have been generated using AI.

Scatter plots of the numerical difference between the asymptotic approximation and the FEM solution, \(C_{\textrm{asym}}-C_{\text {FEM}}\), as a function of spatial position (the \(\tilde{x}\tilde{z}\)-plane) and time (\(\tau \), the vertical dimension). The calculations are based on parameter values \(A=50\), \(X=b=10\). a Shows a full 3D plot of the difference, while b shows the 2D cross-section view along the symmetry axis. The magnitude of the difference is represented by the size of the symbol points, while the sign of the difference is represented by colour (blue for negative and red for positive). The figure legends exemplify these. The FEM simulation cell is a rectangle of dimensions \(Q_1 \times Q_2 = 50 \times 20\) with a grid spacing of \(h_{m}=0.2\). (Color figure online)

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