2020
DOI: 10.1175/jas-d-19-0257.1
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Mountain Waves Produced by a Stratified Boundary Layer Flow. Part I: Hydrostatic Case

Abstract: A hydrostatic theory for mountain waves with a boundary layer of constant eddy viscosity is presented. It predicts that dissipation impacts the dynamics over an inner layer whose depth is controlled by the inner-layer scale δ of viscous critical-level theory. The theory applies when the mountain height is smaller or near δ and is validated with a fully nonlinear model. In this case the pressure drag and the wave Reynolds stress can be predicted by inviscid theory, if one takes for the incident wind its value a… Show more

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Cited by 7 publications
(13 citation statements)
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“…which take into account that in the inner layer U scales as δ and U ≈ U V . As in [27] 3 solutions of (51) are evaluated numerically using a standard Runge-Kutta algorithm with adaptative vertical mesh, the integrations typically starting around z ≈ 7 seeded by the matching functions and integrated toward the surface.…”
Section: After Substitution Of B This Givesmentioning
confidence: 99%
See 1 more Smart Citation
“…which take into account that in the inner layer U scales as δ and U ≈ U V . As in [27] 3 solutions of (51) are evaluated numerically using a standard Runge-Kutta algorithm with adaptative vertical mesh, the integrations typically starting around z ≈ 7 seeded by the matching functions and integrated toward the surface.…”
Section: After Substitution Of B This Givesmentioning
confidence: 99%
“…In a recent series of papers, [27,28] and [29] (hereinafter Part I, Part II, and Part III), formulated such theory and presented uniform solutions in the constant eddy viscosity case for small slopes S . They show that the disturbance amplitude is near that predicted using inviscid theory if one takes for incident wind its value at the inner layer depth δ where dissipative effects equilibrate disturbance advection,…”
Section: Introductionmentioning
confidence: 99%
“…This approach would also remove the need to filter the subgrid orography to remove nonhydrostatic length-scales of < 5 km, as described in the Appendix. What is more, the assumption that the turbulent orographic form drag parametrization (Anton et al, 2004) accounts for drag from orography at scales < 5 km could then also be relaxed and a more unified approach to low-level drag processes, combining orographic flow blocking and form drag, could be taken (Deremble et al, 2020). These extensions to the scheme could be explored in future studies.…”
Section: Conclusion and Future Developmentmentioning
confidence: 99%
“…In a recent series of papers, Lott and co-workers (Lott et al, 2020a;Lott et al, 2020b;Soufflet et al, 2022) formulated such theory and presented uniform solutions in the constant eddy-viscosity case for small slopes S. They show that the disturbance amplitude is near that predicted using inviscid theory if one takes for incident wind its value at altitude near the inner layer scale 𝛿 where dissipative effects equilibrate disturbance advection:…”
Section: Introductionmentioning
confidence: 99%