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Article information
2025 , Volume 30, ¹ 2, p.19-37
Reshetnikova O.V.
Assigning model empirical parameters algorithm while solving a two-dimensional problem of shear flow for incompressible viscous liquid gravity layer by the WCSPH method
The paper addresses an approximation problem of the Navier–Stokes equations for incompressible medium solved by the WCSPH method. An example of continuous medium motion is the two dimensional shear gravity flow problem. An approach proposes a precise values determination of two model parameters: sound speed and viscosity coefficient. It is based on analysis of properties changes for SPH particles during their relative displacement. Value of the modelled sound speed required to minimize solution error was derived from equality of motion equation SPH approximations for two cases a particles ordered arrangement in smoothing domain. These arrangements determine both maximum and minimum of relative compaction during a plane-parallel shift. Model sound speed and artificial dissipation coefficient determine the internal viscosity scale which arises from discretization by SPH method. Calculation of model parameters using the proposed method allows ensuring that viscosity in the solution does not exceed the physical value of this property by more than 5 %. This was confirmed by results of numerical solution for a series of problems.
[link to elibrary.ru]
Keywords: plane shear fluid flow, gravity layer, SPH method, smoothing kernel, physical property discrete approximation, artificial dissipation, model sound speed, model viscosity, internal viscosity by SPH discretization
doi: 10.25743/ICT.2025.30.2.003
Author(s):
Reshetnikova Olga Vladimirovna
PhD.
Position: Research Scientist
Office: Computer center of Far East Branch of the Russian Academy of Sciences
Address: 680000, Russia, Khabarovsk, 65, Kim U Chena street
Phone Office: (4212) 22-72-67
E-mail: ov13@yandex.ru
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Bibliography link:
Reshetnikova O.V. Assigning model empirical parameters algorithm while solving a two-dimensional problem of shear flow for incompressible viscous liquid gravity layer by the WCSPH method // Computational technologies. 2025. V. 30. ¹ 2. P. 19-37
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