Applied Mathematics and Numerical Methods of Fluid Mechanics and Turbulence Modeling

Dear Colleagues,

Navier–Stokes (NS) equations are an excellent mathematical model for turbulent flows. Unfortunately, most of practical turbulent flows cannot be computed directly from NS equations because not enough resolution is available to resolve all relevant scales of motion. Hence, in the foreseeable future, numerical simulations of turbulent flows will have to resort to models of smaller scale. We may therefore turn to large-eddy simulation (LES) to predict the large scale behaviour of turbulent flows. In LES, the large scales of motions in a flow are explicitly computed, whereas effects of small-scale motions are modelled. Most of the difficulties in LES are then associated with the presence of walls where SGS activity tends to vanish. This implies an accurate resolution of the near-wall region, which demands an (extremely) high computational force. Wall-modelling techniques for LES or hybrid RANS-LES approaches are attempts to overcome this inherent limitation of LES. On the other hand, the spatial and temporal discretization techniques can also play a very important role in the simulation of turbulent flows; namely, there is a complex interplay between the numeric and the turbulence model. In this context, the objective of this Special Issue in Energies is to bring researchers working on advanced, cutting-edge methods for the simulation of turbulent flows using different turbulence modelling techniques, as well as on the application of such methods to complex engineering systems, together. The scope includes (but is not limited to):

• Direct numerical simulation;
• LES fundamentals;
• Conservative discretizations for CFD problems;
• Hybrid RANS-LES methods;
• Wall-modelling techniques;
• Heat and mass transfer problems;
• Multiphase flows;
• Combustion;
• Environmental and geophysical applications;
• Industrial applications.

Prof. F. Xavier Trias
Guest Editor

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