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In this paper, an efficient multi-scale method is presented.
This multi-scale method has not previously been applied to tunnel flows.
Each scale is a scale-dependent system linked by an explicit multi-scale method.
Finally, numerical tests are carried out to verify the effectiveness of the proposed multi-scale method.
We study non-linear fracture behavior of concrete using a concurrent multi-scale method.
A multi-scale method is employed to generate the concentration gradient in the diffusion layer.
It was found that multi-scale method offered a considerable interest in computation efficiency while ensuring reliability in numerical simulation.
The aim of this paper is to present a multi-scale method for the mechanical modelling of sandwich structures.
The results show that the multi-scale method provides stable and accurate results and matches very well the analytical solution.
A mathematical model of the system was first established and then solved using the multi-scale method.
Therefore, the direct multi-scale method is applied to fully investigate steady-state response of the super-harmonic resonance.
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