The interior regularity of pressure associated with a weak solution to the Navier–Stokes equations with the Navier-type boundary conditions

Neustupa, Jiřı́; Baba, Hind Al

doi:10.1016/j.jmaa.2018.03.017

Cited by 4 publications

(1 citation statement)

References 33 publications

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“…By solving elliptic partial differential equations and algebraic methods, a hypercube coarse grid with 10000 grid points is generated using the above grid scheme [17]. e following requirements are considered when generating the coarse grid.…”

Section: Turbulence Model-based Simulationmentioning

confidence: 99%

Simulation of J-Solution Solving Process of Navier–Stokes Equation

Wang

Ayana

2021

Mathematical Problems in Engineering

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To avoid grid degradation, the numerical analysis of the j-solution of the Navier–Stokes equation has been studied. The Navier–Stokes equations describe the motion of viscous fluid substances. On the basis of the advantages and disadvantages of the Navier–Stokes equations, the incompressible terms and the nonlinear terms are separated, and the original boundary conditions satisfying the j-solution of the Navier–Stokes equation are analyzed. Secondly, the development of a computational grid has been introduced; the turbulence model has also been described. The fluid form and the initial value of the j-solution of the Navier–Stokes equation are combined. The original boundary conditions are solved by a computer, and the nonlinear turbulence equations are derived, which control the fluid flow. The simulation of the fine grid is comprehended to analyze the research outcome. Simulation analysis is carried out to generate multiblock-structured grids with high quality. The j-solution on the grid points is the j-solution that can be used with a fewer number of meshes under the same conditions. The proposed work is easy to implement, and it consumes lesser memory. The results obtained are able to avoid mesh degradation skillfully, and the generated mesh exhibits the characteristics of smoothness, orthogonality, and controllability, which eventually improves the calculation accuracy.

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Section: Turbulence Model-based Simulationmentioning

confidence: 99%