Numerical Solution of the Navier-Stokes Equations [PDF]
, 1968 A finite-difference method for solving the time-dependent Navier- Stokes equations for an incompressible fluid is introduced. This method uses the primitive variables, i.e. the velocities and the pressure, and is equally applicable to problems in two and
Alexandre J. Chorin
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Generalizations of incompressible and compressible Navier–Stokes equations to fractional time and multi-fractional space [PDF]
Scientific Reports, 2022 This study develops the governing equations of unsteady multi-dimensional incompressible and compressible flow in fractional time and multi-fractional space. When their fractional powers in time and in multi-fractional space are specified to unit integer
M. Levent Kavvas, Ali Ercan
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A Source Term Approach for Generation of One-way Acoustic Waves in the Euler and Navier-Stokes equations. [PDF]
Wave Motion, 2017 We derive a volumetric source term for the Euler and Navier-Stokes equations that mimics the generation of unidirectional acoustic waves from an arbitrary smooth surface in three-dimensional space. The model is constructed as a linear combination of monopole and dipole sources in the mass, momentum, and energy equations.
Maeda K, Colonius T.
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Uniform Finite Element Error Estimates with Power-Type Asymptotic Constants for Unsteady Navier–Stokes Equations [PDF]
Entropy, 2022 Uniform error estimates with power-type asymptotic constants of the finite element method for the unsteady Navier–Stokes equations are deduced in this paper.
Cong Xie, Kun Wang
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Energy equality in the isentropic compressible Navier-Stokes-Maxwell equations
Electronic Research Archive, 2023 This paper concerns energy conservation for weak solutions of compressible Navier-Stokes-Maxwell equations. For the energy equality to hold, we provide sufficient conditions on the regularity of weak solutions, even for solutions that may include exist ...
Jie Zhang , Gaoli Huang, Fan Wu
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Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2022 In this paper, we prove the global existence and uniqueness of the weak solutions to the inviscid velocity-vorticity model of the g-Navier-Stokes equations.
Meryem Kaya, Özge Kazar
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Analytical Solution to 1D Compressible Navier-Stokes Equations
Journal of Function Spaces, 2021 There exist complex behavior of the solution to the 1D compressible Navier-Stokes equations in half space. We find an interesting phenomenon on the solution to 1D compressible isentropic Navier-Stokes equations with constant viscosity coefficient on x,t ...
Changsheng Dou, Zishu Zhao
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Non-uniqueness of Leray solutions of the forced Navier-Stokes equations [PDF]
Annals of Mathematics, 2021 In the seminal work [39], Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. We exhibit two distinct Leray solutions with zero initial velocity and identical body force.
D. Albritton, Elia Bru'e, Maria Colombo
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An efficient semi-implicit immersed boundary method for the Navier–Stokes equations [PDF]
Journal of Computational Physics, 2008 The immersed boundary method is one of the most useful computational methods in studying fluid structure interaction. On the other hand, the Immersed Boundary method is also known to require small time steps to maintain stability when solved with an explicit method. Many implicit or approximately implicit methods have been proposed in the literature to
Hou, T. Y., Shi, Z.
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Physics-informed neural networks for solving Reynolds-averaged Navier-Stokes equations [PDF]
The Physics of Fluids, 2021 Physics-informed neural networks (PINNs) are successful machine-learning methods for the solution and identification of partial differential equations (PDEs).
Hamidreza Eivazi +3 more
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