Numerical study of the primitive equations in the small viscosity regime
| Autor: | Francesco Gargano, Marco Sammartino, Vincenzo Sciacca |
|---|---|
| Přispěvatelé: | Gargano F., Sammartino M., Sciacca V. |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Singularity tracking method Applied Mathematics General Mathematics Numerical analysis 010102 general mathematics Primitive equation Mechanics Slip (materials science) Vorticity 01 natural sciences 010305 fluids & plasmas Physics::Fluid Dynamics Boundary layer Dipole 0103 physical sciences Primitive equations Gravitational singularity 0101 mathematics Zero viscosity limit Pressure gradient |
| Popis: | In this paper we study the flow dynamics governed by the primitive equations in the small viscosity regime. We consider an initial setup consisting on two dipolar structures interacting with a no slip boundary at the bottom of the domain. The generated boundary layer is analyzed in terms of the complex singularities of the horizontal pressure gradient and of the vorticity generated at the boundary. The presence of complex singularities is correlated with the appearance of secondary recirculation regions. Two viscosity regimes, with different qualitative properties, can be distinguished in the flow dynamics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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