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The computational modeling is done using a moving boundary finite element method (MBFEM -based nuMBFEM -basedoach proposed by Stoilov et al. (V. Stoilov, O. Iliev, A. Bhattacharyya, Computer Methods inumerical Mechapproachd Engineering, acceproposed
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This approach is then used to solve a moving boundary optimization problem for our model system.
The vacancy profile through the thickness of a thick film is then obtained by solving continuum diffusion equations using the surface vacancy concentration as a moving boundary condition.
A moving boundary method is used to describe the movement of boundaries across these regions.
Here a moving boundary model is used and adapted to simulate and compare the transient behavior of a microchannel evaporator with a fin-and-tube evaporator for a residential air-conditioning system.
The Laplace equation of a moving boundary problem is solved using the finite element method by adopting an efficient re-mesh algorithm.
This approach could also be used to compute the pressure gradient due to a force on a moving boundary in an incompressible fluid.
Stability of a moving boundary at which fog forms or vaporizes is analyzed using techniques of existing work on stability of moving solid surfaces.
To overcome the difficulties caused by the presence of a moving boundary due to large deformations, an arbitrary Lagrangian Eulerian (ALE) description is used.
From a numerical point of view, the growing crystal gives rise to a moving boundary problem.
This leads to a moving boundary formulation, for which a numerical solution is proposed.
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