Mild solutions of time fractional Navier-Stokes equations driven by finite delayed external forces

Mansur, Alam, Md; Dubey, Shruti

doi:10.48550/arxiv.1905.13515

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Figure 3 Schematic Diagram Of Rans Solutions Process and Cou...1

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2024

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“…The Neutral Networks led fractional RANS solution analyzes the motion form DNS with complex boundary conditions of turbulent Couette, channel, and pipe flow. In the research of hyper reduced-order modeling [20], The Neural Networks quantify the incompressible NSE solutions on the discrete finite dimensions. On the spaces explicated by finite volume method, finite element method, and spatial element methods, the Neural Networks trains the snapshots to update the NSE solutions.…”

Section: Figure 3 Schematic Diagram Of Rans Solutions Process and Cou...mentioning

confidence: 99%

Solutions of Navier Stokes equation and application on aerodynamics

Chen

2024

TNS

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The Navier-Stocks equation (NSE) was derived based on Newtons second law and Eulers equation with the viscosity effect. The continuity of mass, conservation of momentum and energy contribute to the motion of fluid. This paper discusses the hypothesis and theories of the solution of the 3D NSE corresponding to the boundary and initial conditions from previous research. Meanwhile, this paper focuses on the study of solutions and turbulence models of NSE contributed to the applications of aerodynamics. Machine Learning and Neural Networks are applied to the solution of the NSE to improve the accuracy of prediction of fluid motion. Aerodynamics applications on airfoil, turbulence model, design of propeller and ejection seats are discussed with analysis of solutions of Navier-Stocks equation. With the contribution of Machine learning, accurate and global solutions are expected to be computed for the NSE in the future.

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Section: Figure 3 Schematic Diagram Of Rans Solutions Process and Cou...mentioning

confidence: 99%

Solutions of Navier Stokes equation and application on aerodynamics

Chen

2024

TNS

View full text Add to dashboard Cite

show abstract

Mild solutions of time fractional Navier-Stokes equations driven by finite delayed external forces

Cited by 1 publication

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Solutions of Navier Stokes equation and application on aerodynamics

Solutions of Navier Stokes equation and application on aerodynamics

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