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This process is incorporated into the model by solving the radial convection-diffusion equation for the aqueous phase using a finite difference method.
Finally, the present work demonstrates the capabilities of the model by solving a reduced system represented by several PC-transport equations for a perfectly stirred reactor (PSR) configuration.
The computation was based on a simplified model by solving one-dimensional Schrödinger equation under envelope-function approximation without considering the quantum confinement of QDashes in the growth plane.
Luo et al. [8] simulated the performance of a DAC solar collector with nanofluids using a 2D model by solving the radiative transport equations of particulate media and combining conduction and convection heat transfer equations.
One algorithm determines the optimal time delay in the reference model by solving an optimization problem, whereas the other algorithm avoids the nonlinear optimization by using a simple approximation for the time delay term, enabling derivation of analytical PID tuning formulas.
Though the mechanism involved in these three stages are somewhat different, the whole breakout process can be simulated naturally using the present numerical model by solving a consolidation problem of the seabed subjected to various boundary conditions at the seabed surface below the disk.
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Incidence is modeled by solving an inverse problem in the front part of the bladed region.
Tsunami propagation in the open ocean is most commonly modeled by solving the shallow water wave equations.
Although the linking of proppant and fracture simulators was novel, the proppant transport in these works was not numerically modeled by solving the mass balance hyperbolic PDE.
The flow was modeled by solving Reynolds-Averaged Navier-Stokes (RANS) equations, and particle motions were simulated by discrete particle model (DPM) with UDF to model deposition.
Liquid crystal switching is rigorously modeled by solving for the coupled elastic/electrostatic problem, whereas the optical studies are conducted via the finite-element method.
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