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The formulation of boundary conditions to ensure global mass conservation in the presence of arbitrary forcing is carefully analyzed.
These models have been evaluated in terms of stability, convergence and mass conservation in various one-dimensional test cases.
A mathematical model was derived to represent mass conservation in the tube and shell sides of the reactor.
These enable smooth, pointwise divergence-free solutions and thus satisfy mass conservation in the strongest possible sense.
The algorithm is inspired by the necessary and sufficient conditions for satisfying global mass conservation in a composite domain and is simple to implement in 3D.
The governing equations are derived based on energy and mass conservation in each component including the compressor, ejector, generator, booster and heat exchangers.
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Facile uses the method proposed by Sauro and Ingalls [ 17] to automatically find mass conservations in any model.
Like any bifurcation analysis tool, AUTO requires all mass conservations in the system to be explicitly written and the model to be presented in a reduced form.
It is essential for bifurcation analysis that any mass conservations in a model are identified and used to write the model in a form with a minimum number of independent variables.
Flow is governed by Darcy's law together with mass conservation both in the matrix and the fractures, where large discontinuities in permeability tensors can occur.
The recent version of this method guarantees the exact mass conservation even in the framework of a semi-Lagrangian scheme.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com