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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Global regularity for a family of 3D models of the axi-symmetric Navier–Stokes equations [PDF]
Nonlinearity, 2018 We consider a family of 3D models for the axi-symmetric incompressible Navier-Stokes equations. The models are derived by changing the strength of the convection terms in the axisymmetric Navier-Stokes equations written using a set of transformed variables.
Hou, Thomas Y., Liu, Pengfei, Wang, Fei
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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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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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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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Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier–Stokes Equations [PDF]
Multiscale Modeling & Simulation, 2008 In this paper, we perform a systematic multiscale analysis for the three-dimensional incompressible Navier–Stokes equations with multiscale initial data. There are two main ingredients in our multiscale method. The first one is that we reparameterize the initial data in the Fourier space into a formal two-scale structure. The second one is the use of a
Hou, Thomas Y. +2 more
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Second-Order Convergence of a Projection Scheme for the Incompressible Navier–Stokes Equations with Boundaries [PDF]
SIAM Journal on Numerical Analysis, 1993 Summary: A rigorous convergence result is given for a projection scheme for the Navier-Stokes equations in the presence of boundaries. The numerical scheme is based on a finite-difference approximation, and the pressure is chosen so that the computed velocity satisfies a discrete divergence-free condition.
Hou, Thomas Y., Wetton, Brian T. R.
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