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Moment Parameterisasi Mikrofisis
Particle Size Distribution (PSD) f(m) dengan m merupakan partikel massa dengan k
merupakan jumlah momen
𝑀(𝑘)
= ∫ 𝑚 𝑘
𝑓( 𝑚) 𝑑𝑚
∞
0
1. Skema one-Moment k=1, merepresentasikan massa variabel
2. Skema two Moment k=0,1 , merepresentasikan massa variabel dan jumlah variabel
3. Skema three Moment k=0,1,2 , merepresentasikan massa variabel dan jumlah
variabel dan reflektifitas radar
Terdapat dua distribusi PSD yaitu BIN dan BULK. Spectral (bin) microphysics merupakan
particle size distribution f(x) dengan pengukuran ukuran partikel (x) yang secara explisit
dihitung dari persamaan
dengan
Dan
Sementara untuk Bulk, f(x) hanya moment sebagai distribusi ukuran yang diprediksi seperti :
Mixing ratio (liquid water content) :
Atau jumlah konsentrasi (number concentration) :
Beberapa kelebihan Bulk diantaranya : Jumlah lebih sedikit dari variabel prognostik =
Komputasi murah, mudah mengintegrasikan dan parameter tweakable (mudah mengubah).
Sementara kekurangannya tidak dapat mewakili lebih dari satu distribusi pada satu waktu,
“frozen" distribusi untuk skema single-moment.
Keuntungan bin microphysics diantaranya lebih realistis, proses yang bergantung pada
distribusi ukuran lebih baik direpresentasikan, merepresentasikan parameterisasi yang lebih
spesifik & interaksi partikel, memungkinkan untuk bimodal (+) distribusi. Adapun
kekurangan Bin diantaranya komputasi yang sangat mahal, sulit untuk validasi dan
pengetahuan fisi fase es kurang.
Jumlah Hidrometeor
Gambar . Ilustrasi konversi antara jenis mikrofisis pada variabel mixing ratio untuk 6 bulk
parameterisasi mikrofisis, dengan v untuk water vapor, c untuk cloud droplet, r untuk rain
droplet, i untuk partikel cloud ice, s untuk snow dan g untuk graupel. (Dudhia, 2010).
Tabel Skema BULK Mikrofisis single and double Moment.
No Skema Cores Variabel Massa Variabel Jumlah
1 Purdue-Lin ARW Qc Qr Qi Qs Qg
2 WSM5 ARW/NMM Qc Qr Qi Qg
3 Eta (Ferrier) ARW/NMM Qc Qr Qs Qt*
4 WSM6 ARW/NMM Qc Qr Qi Qs Qg
5 Thompson ARW/NMM Qc Qr Qi Qs Qg Ni Nr (/Ni)
6 Morrison ARW Qc Qr Qi Qs Qg Nr Ni Ns Ng
7 WDM5 ARW Qc Qr Qi Qs Nn* Nc Nr
8 WDM6 ARW Qc Qr Qi Qs Qg Nn* Nc Nr

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Moment parameterisasi mikrofisis

  • 1. Moment Parameterisasi Mikrofisis Particle Size Distribution (PSD) f(m) dengan m merupakan partikel massa dengan k merupakan jumlah momen 𝑀(𝑘) = ∫ 𝑚 𝑘 𝑓( 𝑚) 𝑑𝑚 ∞ 0 1. Skema one-Moment k=1, merepresentasikan massa variabel 2. Skema two Moment k=0,1 , merepresentasikan massa variabel dan jumlah variabel 3. Skema three Moment k=0,1,2 , merepresentasikan massa variabel dan jumlah variabel dan reflektifitas radar Terdapat dua distribusi PSD yaitu BIN dan BULK. Spectral (bin) microphysics merupakan particle size distribution f(x) dengan pengukuran ukuran partikel (x) yang secara explisit dihitung dari persamaan dengan Dan Sementara untuk Bulk, f(x) hanya moment sebagai distribusi ukuran yang diprediksi seperti :
  • 2. Mixing ratio (liquid water content) : Atau jumlah konsentrasi (number concentration) : Beberapa kelebihan Bulk diantaranya : Jumlah lebih sedikit dari variabel prognostik = Komputasi murah, mudah mengintegrasikan dan parameter tweakable (mudah mengubah). Sementara kekurangannya tidak dapat mewakili lebih dari satu distribusi pada satu waktu, “frozen" distribusi untuk skema single-moment. Keuntungan bin microphysics diantaranya lebih realistis, proses yang bergantung pada distribusi ukuran lebih baik direpresentasikan, merepresentasikan parameterisasi yang lebih spesifik & interaksi partikel, memungkinkan untuk bimodal (+) distribusi. Adapun kekurangan Bin diantaranya komputasi yang sangat mahal, sulit untuk validasi dan pengetahuan fisi fase es kurang. Jumlah Hidrometeor
  • 3. Gambar . Ilustrasi konversi antara jenis mikrofisis pada variabel mixing ratio untuk 6 bulk parameterisasi mikrofisis, dengan v untuk water vapor, c untuk cloud droplet, r untuk rain droplet, i untuk partikel cloud ice, s untuk snow dan g untuk graupel. (Dudhia, 2010). Tabel Skema BULK Mikrofisis single and double Moment. No Skema Cores Variabel Massa Variabel Jumlah 1 Purdue-Lin ARW Qc Qr Qi Qs Qg 2 WSM5 ARW/NMM Qc Qr Qi Qg 3 Eta (Ferrier) ARW/NMM Qc Qr Qs Qt* 4 WSM6 ARW/NMM Qc Qr Qi Qs Qg 5 Thompson ARW/NMM Qc Qr Qi Qs Qg Ni Nr (/Ni) 6 Morrison ARW Qc Qr Qi Qs Qg Nr Ni Ns Ng 7 WDM5 ARW Qc Qr Qi Qs Nn* Nc Nr 8 WDM6 ARW Qc Qr Qi Qs Qg Nn* Nc Nr