Fields, entities, ecosystems? Conceptual grounds for appreciating - PowerPoint PPT Presentation

Fields, entities, ecosystems? Conceptual grounds for appreciating convective organization Brian Mapes, ITCP July 2019 Book, Aug 15: Atmospheric convection: the short course (World Scientific)

Five-fingered brains, complex world ´ Reductionism : carve nature (at its joints, preferably) ´ isolate, interrogate & characterize parts ´ refine, refine, refine ´ Reconstruction of serious fundamentals ´ à software ; temporal prediction (our bread and butter) ´ refine, refine, refine ´ Re-syntheses of simplified essentials ´ à appreciation ( “understanding”, “explanation” type predictions) ´ useful? …ideas for serious parts?

Outline ´ Observations ´ Textbook : 3 Parts, 3 chapters each ´ Part I: Fields (the PDEs, and scale bookkeeping) ´ Part II: Entities (observed; and as crude ‘solutions’) ´ Part III: Ecosystems of entities (fulfilling field telos? ) ´ Are there Principles? Telos (purpose), Games (interactions)

Rain for the Horn: a CWV “storm” CWV & IR w/ Z500,SLP Dec. 2012 ß CWV ERAI ß CWV MERRA-2 ß IR cloud top

Upper level variance grows faster

Top-down vs. bottom-up: meaningful?

Statements and questions ´ Cloudy convection (IR) fine-grained ´ Highly confined to big-enough CWV (~50) ´ Vapor field has long-lived filaments ´ of dry in “normal” wetness? ´ of wet in “normal” dryness? ´ is it convection, or just advection?

Outline ´ Observations ´ Textbook : 3 Parts, 3 chapters each ´ Part I: Fields. Teleology of p; d/dt[KE] = [w’b’] ´ Part II: Entities (observed; and as crude ‘solutions’) ´ Part III: Ecosystems of entities (fulfilling field telos? ) ´ Are there Principles? Telos (purpose), Games (interactions)

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<latexit sha1_base64="D8avErcG96xhILrOirkWrCjPog=">ACDXicbVDNSgMxGMz6W+vfqkcvwSLUy7JbC3oRil48VrQ/0C1LNpu2odlkSbKFsvQZvPgqXkS8KOgr+Dam7V7a+kFgmJl8yUyYMKq06/5a+sbm1vbhZ3i7t7+waF9dNxUIpWYNLBgQrZDpAijnDQ01Yy0E0lQHDLSCod3U701IlJRwZ/0OCHdGPU57VGMtKEC2/E5ChkKqtDHkdCw7MuBgP6IYNgMqhfwBj4GWYyUmhjowsAuY47G7gKvByUQD71wP7xI4HTmHCNmVnT8dxEdzMkNcWMTIp+qkiC8BD1STZLM4HnhopgT0hzuIYzdsGHYqXGcWicMdIDtaxNyf+0Tqp7192M8iTVhOP5Q72UQS3gtBoYUmwZmMDEJbU/BDiAZIa1Ng0UT3loOugmbF8S6dykO1VLvNSyiAU3AGysADV6AG7kEdNAGL+ANfIv69l6td6tj7l1zcrvnICFsb7/AoYmLo=</latexit> <latexit sha1_base64="ojAN9PEbIDLtj8tfBqhOLiolz8=">AB93icbVDLSgMxFL1TX7W+Rt0IboJFcFHKTFvQjVB047KCfUA7DJk04ZmHiSZylDqr7gRcaPgX/gL/o1pO5u2Hgczjnh3nu8mDOpLOvXyG1sbm3v5HcLe/sHh0fm8UlLRokgtEkiHomOhyXlLKRNxRSnVhQHictr3R/cxvj6mQLAqfVBpTJ8CDkPmMYKUl1zrjSlBLbeGblE3KaFxCT2XkO0g1yxaZWsOtE7sjBQhQ8M1f3r9iCQBDRXhWMqubcXKmWChGOF0WuglksaYjPCATuZ7T9GlvrIj4R+oUJzdSmHAynTwNPJAKuhXPVm4n9eN1H+jTNhYZwoGpLFID/hSEVoVgLqM0GJ4qkmAimN0RkiAUmSldV0Kfbq4euk1albFfLlcdasX6XlZCHc7iAK7DhGurwA1oAoEXeINP+DJS49V4Nz4W0ZyR/TmFJRjf8ZYj7k=</latexit> <latexit sha1_base64="QsDapGK4adpHuecMqJZtdfA9ZWQ=">ACFnicbVBLSwMxGMzWV62vqkcvHxahIpbdWqgXoejFY0X7gG5Zsm2Dc1uliRbLKX/w4t/xYuIHhS8+m9MH5dWBwLDzIRkxo85U9q2f6zUyura+kZ6M7O1vbO7l90/qCuRSEJrRHAhmz5WlLOI1jTnDZjSXHoc9rw+zcTvzGgUjERPehTNsh7kYsYARrI3nZshthn2OvBC7pCA35BFzZE+AOKIG6VzqFK7j3RqEIx4adx94jnEwAC+bswv2FPCXOHOSQ3NUveyH2xEkCWmkCcdKtRw71u0RlpoRTscZN1E0xqSPu3Q0rTWGEyN1IBDSnEjDVF3I4VCpYeibZIh1Ty17E/E/r5Xo4LI9YlGcaBqR2UNBwkELmGwEHSYp0XxoCaSmR8C6WGJiTZLZkx1Z7noX1IvFpyLQvGulKtcz0dIoyN0jPLIQWVUQbeoimqIoGf0ij7Rl/VkvVhv1vsmrLmdw7RAqzvX+dFm8k=</latexit> Part I: Fields I: Teleology of p mass continuity; then specific momentum ´ continuity r 4 · ( ⇢~ V 4 ) = S mass = 0 ~ V 4 = [ u, v, w, 1] ´ specific (per unit mass) momentum in x: r 4 · ( u ⇢~ V 4 ) = S mom = � p x + fv

<latexit sha1_base64="D8avErcG96xhILrOirkWrCjPog=">ACDXicbVDNSgMxGMz6W+vfqkcvwSLUy7JbC3oRil48VrQ/0C1LNpu2odlkSbKFsvQZvPgqXkS8KOgr+Dam7V7a+kFgmJl8yUyYMKq06/5a+sbm1vbhZ3i7t7+waF9dNxUIpWYNLBgQrZDpAijnDQ01Yy0E0lQHDLSCod3U701IlJRwZ/0OCHdGPU57VGMtKEC2/E5ChkKqtDHkdCw7MuBgP6IYNgMqhfwBj4GWYyUmhjowsAuY47G7gKvByUQD71wP7xI4HTmHCNmVnT8dxEdzMkNcWMTIp+qkiC8BD1STZLM4HnhopgT0hzuIYzdsGHYqXGcWicMdIDtaxNyf+0Tqp7192M8iTVhOP5Q72UQS3gtBoYUmwZmMDEJbU/BDiAZIa1Ng0UT3loOugmbF8S6dykO1VLvNSyiAU3AGysADV6AG7kEdNAGL+ANfIv69l6td6tj7l1zcrvnICFsb7/AoYmLo=</latexit> <latexit sha1_base64="ojAN9PEbIDLtj8tfBqhOLiolz8=">AB93icbVDLSgMxFL1TX7W+Rt0IboJFcFHKTFvQjVB047KCfUA7DJk04ZmHiSZylDqr7gRcaPgX/gL/o1pO5u2Hgczjnh3nu8mDOpLOvXyG1sbm3v5HcLe/sHh0fm8UlLRokgtEkiHomOhyXlLKRNxRSnVhQHictr3R/cxvj6mQLAqfVBpTJ8CDkPmMYKUl1zrjSlBLbeGblE3KaFxCT2XkO0g1yxaZWsOtE7sjBQhQ8M1f3r9iCQBDRXhWMqubcXKmWChGOF0WuglksaYjPCATuZ7T9GlvrIj4R+oUJzdSmHAynTwNPJAKuhXPVm4n9eN1H+jTNhYZwoGpLFID/hSEVoVgLqM0GJ4qkmAimN0RkiAUmSldV0Kfbq4euk1albFfLlcdasX6XlZCHc7iAK7DhGurwA1oAoEXeINP+DJS49V4Nz4W0ZyR/TmFJRjf8ZYj7k=</latexit> <latexit sha1_base64="0uIWa/aCglTLehbXZvmfqRf6kU=">ACFHicbVBLSwMxGMzWV62vqkcvHxahHlp2a0UvQtGLx4r2Ad2yZNO0Dc1uliRbqaV/w4t/xYuIAre/Temj0tbBwLDzIRkxo84U9q2f63Eyura+kZyM7W1vbO7l94/qCoRS0IrRHAh6z5WlLOQVjTnNYjSXHgc1rzezdjv9anUjERPuhBRJsB7oSszQjWRvLS526IfY69IrikJTRkH8GVXQFunxKoesVTuIJ7bxiIYGRYLvKeIAcdL52x8/YEsEycGcmgGcpe+tNtCRIHNSEY6Uajh3p5hBLzQino5QbKxph0sMdOpyUGsGJkVrQFtKcUMNEncvhQKlB4JtkgHVXLXpj8T+vEev2ZXPIwijWNCTh9oxBy1gvBC0mKRE84EhmEhmfgikiyUm2uyYMtWdxaLpFrIO2f5wl0xU7qejZBER+gYZGDLlAJ3aIyqiCXtAb+kLf1rP1ar1bH9NowprdOURzsH7+AKfEmyY=</latexit> Part I: Fields I: Teleology of p mass continuity; then specific momentum ´ continuity r 4 · ( ⇢~ V 4 ) = S mass = 0 ~ V 4 = [ u, v, w, 1] ´ specific (per unit mass) momentum in z: r 4 · ( w ⇢~ V 4 ) = S mom = � p z � g

Part I: Fields I: Teleology of p 4 equations in 5 unknowns – inconvenient ρ ! ´ Assume ρ = ρ 0 =const (incompressible) 0= ​𝑣↓𝑦 + ​𝑤↓𝑧 + ​𝑥↓𝑨 ​𝑣↓𝑢 = − ​(𝑣𝑣)↓𝑦 − ​(𝑣𝑤)↓𝑧 − ​(𝑣𝑥)↓𝑨 ​ − 𝜌↓𝑦 + 𝑔𝑤 ​𝑤↓𝑢 = − ​(𝑤𝑣)↓𝑦 − ​(𝑤𝑤)↓𝑧 − ​(𝑤𝑥)↓𝑨 ​ − 𝜌↓𝑧 − 𝑔𝑣 ​𝑥↓𝑢 = − ​(𝑥𝑣)↓𝑦 − ​(𝑥𝑤)↓𝑧 − ​(𝑥𝑥)↓𝑨 ​ − 𝜌↓𝑨 − 𝑕 where π = p/ ρ 0.

Part I: Fields I : Teleology of p for incompressible flow ´ à a teleological appreciation of pressure: 𝜌 = ​ 𝛂 ↑ −𝟑 [ 𝛂∙ 𝑮] ´ Mass continuity is the Law ´ Pressure is the Cop ´ F =m a is the Enforcement

Teleology ´ Telos : know it by the function it performs ´ Can convective organization be appreciated in terms of some job it performs ? ´ Philosophically disrespected in biology as vitalism: invoking life’s “purpose” is woolly ´ Convection has a purpose : lower the center of gravity . Relentless as gravity.

Outline ´ Observations ´ Textbook : 3 Parts, 3 chapters each ´ Part I: Fields. Teleology of p; d/dt[KE] = [w’b’] ´ Part II: Entities (observed; and as crude ‘solutions’) ´ Part III: Ecosystems of entities (fulfilling field telos? ) ´ Are there Principles? Telos (purpose), Games (interactions)

Part I: Fields II: KE comes from [wb] Allow ρ to vary, so there is buoyancy b, 0 =−𝛂∙( ​𝜍 𝑾 ) 𝑒𝑣 / 𝑒𝑢 = ​ − 𝜌↓𝑦 + 𝑔𝑤 ∗ 𝑣 𝑒𝑤 / 𝑒𝑢 = ​ − 𝜌↓𝑧 − 𝑔𝑣 ∗ 𝑤 𝑒𝑥 / 𝑒𝑢 = ​ − 𝜌↓𝑨 + 𝑐 ∗ 𝑥 ∗ 𝑥 𝑒𝑐 / 𝑒𝑢 =− 𝑥​𝑂↑ 2 + ​𝑅↓𝑐 (2.10)

Part I: Fields II: KE comes from [wb] Let [] denote an integral over the whole fluid. Subscript for time derivative: ​ [ 𝐿𝐹 ] ↓𝑢 = [𝑥𝑐] −[ 𝑮 . 𝑾 ] ​ [ 𝑄𝐹 ] ↓𝑢 = [𝐾𝑐] − [𝑥𝑐] sum: ​ [ 𝑄𝐹 + 𝐿𝐹 ] ↓𝑢 = [𝐾𝑐] −[ 𝑮 . 𝑾 ] J = Q b /N 2 , Q b = buoyancy source from thermo (density)

Part I: Fields II: KE comes from [wb] ​ [ 𝐿𝐹 ] ↓𝑢 = [𝑥𝑐] −friction ´ Yes all of the kinetic energy ´ Can be decomposed into any orthogonal basis set ´ by zonal Fourier wavenumber ´ by orthogonal vertical modes ´ but NOT by plume radius or depth!

Outline ´ Observations ´ Textbook : 3 Parts, 3 chapters each ´ Part I: Fields. Teleology of p; d/dt[KE] = [w’b’] ´ Part II: Entities (parcels, bubbles, plumes) ´ Part III: Ecosystems of entities (fulfilling field telos? ) ´ Are there Principles? Telos (purpose), Games (interactions)

Part II: Entities I: parcels ´ Saturday à ´ 12Z: my airplane window mseplots-pkg (an add-on to MetPy) Wei-Ming Tsai

Part II: Entities I: parcels ´ Saturday à ´ 18Z: