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The new model introduces an internal energy density distribution function to simulate the temperature field.
Hence, we use the exponential function to simulate a relationship between the correlation weight and temporal interval.
In these models, the streamline equation is used as a shape function to simulate the fibre configuration.
In the other hand, TSANG, et al. [17], used a random function to simulate roughness, which was characterized using the root mean square RMS), correlation length, and the correlation function.
He et al. [21] proposed a new Lattice Boltzmann model which introduced an internal energy distribution function to simulate the temperature field, and the result has a good agreement with the benchmark solution.
He et al. [27] proposed a novel lattice Boltzmann thermal model to study thermo-hydrodynamics in incompressible limit by introducing an internal energy density distribution function to simulate the temperature field.
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Carlson (2003) was using specific transfer functions to simulate the flow transfer from fractures to matrix.
Lee (1977), Pruess (1985) and Kazemi (1969) introduced a range of different matrix/fracture transfer functions to simulate the fluid flow in large scales.
Therefore, we adopt the excitation load which is the superposition of static wheel load and dynamic load in the form of multiple sinusoidal functions to simulate train load.
In addition to state-and-transition modeling functions to simulate ecosystem behavior and management, the ST-Sim software offers a stock and flow module/add-on that tracks changes in C stocks and flows (i.e. fluxes) over time.
That is, getting the Copula function parameters through cumulative probability distribution function of historical wind speed; based on the rank correlation theory, selecting suitable Copula functions to simulate wind speed sample; and then achieving wind power output model of which containing wind speed dependence.
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