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Results are then presented both for the one dimensional model and for two axisymmetric test cases.
A finite element solver is used to compute blood flow and pressure in the 3D (3 dimensional) model, and this solver is implicitly coupled to the 0D LPN code at all inlets and outlets.
A comparative study between the detailed three dimensional model and a simplified one dimensional model is carried out.
The simulation results of heat generation from the three dimensional model and the porous-electrode theory model were compared in this study.
We start with a one dimensional model and show that it reproduces the main macroscopic phenomenology of rate independent plastic behavior but falls short of generating self similar structure of fluctuations.
Rather than beginning with a full three dimensional model and solving for non-homogeneous shear stresses across the specimen cross-section, a "strength of materials" approach that can directly model the torsional response using experimentally measurable quantities such as torque and angle of twist is developed.
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We have formalized definitions and specifications for a two-dimensional model and have created a single-processor simulation domain in Ptolemy.
A two-dimensional model and tracer gas method are used in simulation and experiment, respectively.
The adopted methodology is based on two models: a one-dimensional model and a CFD model.
"We develop the metaphor of the multidimensional 'Cosmic Haystack' … into a quantitative, eight-dimensional model and perform an analytic integral to compute the fraction of this haystack that several large radio SETI programs have collectively examined," they say.
It has the same form as the conventional one-dimensional model and contains only explicit functions.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com