Jild 37 № 3 (2026): Iyul - sentyabr
2026-09-30
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Navye–Stoks tenglamalarini yechish algoritmi bilan bog‘langan konservativ aralashmalarni tashishning universal konservativ sxemasidan foydalanib gidrodinamik masalalarni yechish

M.M. Mirsaidov
A.G. Savitsky
A.T. Saloxiddinov

Qabul qilingan: 2026-10-13

Nashr etilgan: 2026-09-30

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Annotatsiya

Hisoblash gidromexanikasi uchun impuls va aralashmalarni tashishning mutlaq konservativ sxemasini oshkor chekli ayirmali approksimatsiyalar bilan birlashtiruvchi algoritm taqdim etilgan. Tadqiqotda Navye–Stoks tenglamalarining to‘liq tizimini yechishda uchraydigan asosiy qiyinchiliklar, jumladan ayrim sxemalarda saqlanish qonunlarining buzilishi, gidrodinamik bosim uchun alohida evolyutsion tenglamaning mavjud emasligi hamda sonli beqarorlik ko‘rib chiqiladi. TIIAME konservativ tashish sxemasi va hosil qilingan bosim evolyutsiyasi tenglamasidan foydalangan holda silindrik koordinatalardagi masala qo‘yilishi bayon etilgan. Ekzotermik issiqlik ajralishi bilan kechuvchi gaz komponentlarining o‘zaro ta’siri hamda uning tezlik, bosim, harorat va komponentlar tashilishiga ta’siri o‘rganilgan. Sinov hisob-kitobi saqlanish qonunlariga va fizik jihatdan kutiladigan taqsimotlarga mos keluvchi barqaror oqim maydonlarini ko‘rsatdi. Eksperimental o‘lchovlar bilan taqqoslash amalga oshirilmagan; algoritmning bahosi sonli barqarorlik va hisoblangan maydonlarning sifat jihatidan xatti-harakatiga asoslangan. Taklif etilgan yondashuv keng doiradagi gidrodinamik masalalarni yechishda foydali bo‘lishi va mavjud hisoblash vositalari yordamida amalga oshirilishi mumkin.

Kalit so‘zlar

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Mualliflar haqida

M.M. Mirsaidov
theormir@mail.ru
“Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muhandislari instituti” Milliy tadqiqot universiteti
A.G. Savitsky
theormir@mail.ru
“Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muhandislari instituti” Milliy tadqiqot universiteti
A.T. Saloxiddinov
theormir@mail.ru
“Toshkent irrigatsiya va qishloq xo‘jaligini mexanizatsiyalash muhandislari instituti” Milliy tadqiqot universiteti

Litsenziya

Mualliflik huquqi (c) 2026 “Mexanika muammolari” O‘zbekiston jurnali

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Navye–Stoks tenglamalarini yechish algoritmi bilan bog‘langan konservativ aralashmalarni tashishning universal konservativ sxemasidan foydalanib gidrodinamik masalalarni yechish. (2026). “Mexanika Muammolari” O‘zbekiston Jurnali, 37(3). https://www.pmjournal.uz/jour/article/view/22

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