SELM meaning in General ?

Answer:

What is Stochastic Eulerian Lagrangian Method mean?

In computational fluid dynamics, the Stochastic Eulerian Lagrangian Method (SELM) is an approach to capture essential features of fluid-structure interactions subject to thermal fluctuations while introducing approximations which facilitate analysis and the development of tractable numerical methods. SELM is a hybrid approach utilizing an Eulerian description for the continuum hydrodynamic fields and a Lagrangian description for elastic structures. Thermal fluctuations are introduced through stochastic driving fields.

The SELM fluid-structure equations typically used are

ρ d u d t = μ Δ u − ∇ p + Λ [ Υ ( V − Γ u ) ] + λ + f t h m ( x , t ) {\displaystyle \rho {\frac {d{u}}{d{t}}}=\mu \,\Delta u-\nabla p+\Lambda [\Upsilon (V-\Gamma {u})]+\lambda +f_{\mathrm {thm} }(x,t)} m d V d t = − Υ ( V − Γ u ) − ∇ Φ [ X ] + ξ + F t h m {\displaystyle m{\frac {d{V}}{d{t}}}=-\Upsilon (V-\Gamma {u})-\nabla \Phi [X]+\xi +F_{\mathrm {thm} }} d X reference

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