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Based on boundary layer assumptions for the gas phase, a one-dimensional "moving boundary" model for the deposition surface is formulated.
In this study, we investigate the inverse problem of identifying an unknown spacewise-dependent source F x) in the one-dimensional advection diffusion equation ut="Duxx−vux+F x H t), (x,t)∈ 0,1)×(0,T], based on boundary concentration measurements g(t):= u ℓ,t).
Based on boundary measurements, stabilizing control laws are designed.
The hydrodynamic parameters are obtained with AQWA, a software package based on boundary element methods.
The analysis process is performed by a numerical program based on boundary element method (BEM).
Dynamic pore scale models track the position based on boundary conditions fluid and solid properties and geometric characteristics.
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"You can't manage wolves based on boundaries," said Paul Overy, the Arizona Game and Fish Department field team leader.
The procedure of calculation of the viscous compressible flow in vaneless diffusers (VLD) with parallel walls, based on boundary-layer theory is presented in the paper.
Both ALOHA and GRILL3D formulate the problem in terms of rectangular waveguides modes, while TOPLHA is based on boundary-value problem with the adoption of a triangular cell-mesh to represent the relevant waveguides surfaces.
This representation is very useful for numerical methods which are based on boundary-integral formulations such as boundary-element method since the numerically evaluated part is not responsible for the singularity.
Apart from computationally heavy approaches, such as those based on computational fluid dynamics (CFD) and smooth particle hydrodynamics (SPH), the vast majority of models employed in the simulation and analysis of wave energy converters (WECs) are based on boundary-element methods (BEMs).
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