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Hence the following results are given by direct simulation for the stochastic delay differential equation, i.e., Eq. (10), which can be formally integrated by using a simple forward Eular algorithm with a small time step for time delay.
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In particular, computing high-frequency solutions by direct simulations requires several points per wavelength for stability and usually requires many points per wavelength for a satisfactory accuracy.
The extended theory is applicable to both single frequency responses and to band average responses, and the developed closed form expressions are validated by comparison with direct simulations for a random plate structure.
The process of laminar mixing in a T-shaped micro-device is studied by direct numerical simulation for a model binary mixture, composed of two fluids having the same density and the same viscosity, yet presenting a strong fluidity of mixing effect, i.e. the viscosity of the mixture is a function of its composition.
We compare the simulation results with those obtained by a direct simulation Monte Carlo solver for the same geometry.
For this flow problem it is computationally feasible to obtain a solution by the direct simulation Monte Carlo (DSMC) method for comparison: very close agreement is observed.
The flows under continuum gas conditions are analyzed using the solution of the Navier Stokes equations whereas the rarefied flow solutions are obtained by the direct simulation Monte Carlo (DSMC) method for the Boltzmann equation.
Simple estimates indicate that the expression frequency for that should be below f≈0.001 0.01, as is also confirmed by a direct simulation (not shown).
Bubble induced turbulence model improved by direct numerical simulation of bubbly flow.
Hence, the time spent for using the Nakagami-SAp to obtain BER results can be significantly less than that required by using direct simulations.
A variance-reduced direct simulation Monte Carlo method is presented for binary gas flows as defined by the McCormack kinetic model.
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