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Numerical methods to approximate these nonlinear hyperbolic PDEs (or for that matter any PDE) require inputs such as the initial data, boundary conditions and coefficients in the fluxes, sources and friction terms of the PDE.
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In this respect the understanding of numerical error, the sensitivity of the solution to parameters associated with input data, boundary condition uncertainty, and mathematical models is critical.
The integration procedure, design data, and boundary conditions were given in detail.
The field study was carried to collect the actual data of boundary conditions for CFD simulation.
Giving the meteorological data as boundary conditions on the reactor; the model computes the solar coefficient of performance (COPs).
The model does not require input data for boundary conditions, therefore the resulting ventilation intensity depends only on the geometrical configuration.
The measurements have been used as input data and boundary conditions in 3D and 0D calculations in order to obtain the thermodynamic conditions of the gas in the cylinder during cold starting.
Continuing studies utilizing those experimental data as boundary conditions were applied in the following numerical spray simulations using a commercially available nasal spray device, which was inserted into a realistic adult nasal passage with external facial features.
note that the compatibility conditions between the initial data and boundary conditions hold.
and the consistencies between the initial data and boundary conditions hold.
We are interested in the global existence and dynamics of the free boundary value problem for (1.1) with the following initial data and boundary conditions: { ( ρ, u ) ( x, 0 ) = ( ρ 0, u 0 ), x ∈ [ a 0, b 0 ], ( ρ γ − ρ α u x ) ( a ( t ), t ) = p e, ( ρ γ − ρ α u x ) ( b ( t ), t ) = p e, t > 0, (2.1).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com