Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations

Mirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, Saloxiddinov, A

Mexanika muammolari jurnali · 2026-yil

Annotatsiya

An algorithm for computational hydromechanics is presented that combines an absolutely conservative transport scheme for momentum and admixtures with explicit finite-difference approximations. The study addresses key difficulties encountered when solving the full Navier--Stokes equations, including loss of conservation in certain schemes, the lack of a separate evolution equation for hydrodynamic pressure, and numerical instability. A cylindrical-coordinate formulation is described using the TIIAME conservative transport scheme together with a derived pressure evolution equation. Interactions between gas components accompanied by exothermic heat release are examined, including their effects on velocity, pressure, temperature and constituent transport. The test calculation produced stable flow fields consistent with conservation laws and physically expected distributions. No comparison with experimental measurements was performed; the assessment of the algorithm relies on numerical stability and the qualitative behaviour of computed fields. The proposed approach may be useful for a wide range of hydrodynamic problems and can be implemented using accessible computational tools.

Maqola ma’lumotlari
MualliflarMirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, Saloxiddinov, A
JurnalMexanika muammolari jurnali
NashriyotМеханика ва иншоотлар сейсмик мустаҳкамлиги институти
ISSN2010-7250
Nashr sanasi2026-09-30
Jild37
Son3
TilIngliz
Indeksga qo‘shilgan2026-10-18

Maqolaning asl sahifasi

Kalit so‘zlar

Navier--Stokes equations, computational fluid dynamics, absolutely conservative scheme, explicit finite-difference approximation, pressure evolution equation, intercomponent interaction, heat release, TIIAME scheme, numerical viscosity, уравнения Навье--Стокса, вычислительная гидродинамика, абсолютно консервативная схема, явные конечно-разностные аппроксимации, эволюционное уравнение давления, межкомпонентное взаимодействие, тепловыделение, схема TIIAME, схемная вязкость, Navye–Stoks tenglamalari, hisoblash gidrodinamikasi, mutlaq konservativ sxema, oshkor chekli ayirmali approksimatsiya, bosim evolyutsiyasi tenglamasi, komponentlararo o‘zaro ta’sir, issiqlik ajralishi, TIIAME sxemasi, sonli qovushqoqlik

Iqtibos keltirish

APAMirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, & Saloxiddinov, A (2026). Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations. Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/22
GOST (OAK)Mirsaidov, M va b. Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations // Mexanika muammolari jurnali. – 2026. – T. 37, № 3.
MLAMirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, and Saloxiddinov, A. “Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations.” Mexanika muammolari jurnali, 37(3), 2026. https://www.pmjournal.uz/index/article/view/22
ChicagoMirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, and Saloxiddinov, A. “Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations.” Mexanika muammolari jurnali, 37(3) (2026). https://www.pmjournal.uz/index/article/view/22
HarvardMirsaidov, M, Savitsky, A, Salokhiddinov, A, Мирсаидов, M, Савицкий, A, Салохиддинов, A, Mirsaidov, M, Savitsky, A, and Saloxiddinov, A (2026) ‘Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations’, Mexanika muammolari jurnali, 37(3). https://www.pmjournal.uz/index/article/view/22
BibTeX
@article{mirsaidovm2026,
  title = {Solution of Hydrodynamic Problems Using a Universal Conservative Scheme for Transport of Conservative Admixtures Coupled with an Algorithm for Solving the Navier--Stokes Equations},
  author = {Mirsaidov, M and Savitsky, A and Salokhiddinov, A and Мирсаидов, M and Савицкий, A and Салохиддинов, A and Mirsaidov, M and Savitsky, A and Saloxiddinov, A},
  journal = {Mexanika muammolari jurnali},
  year = {2026},
  volume = {37},
  number = {3},
  url = {https://www.pmjournal.uz/index/article/view/22}
}

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