scholarly journals Odd viscosity in two-dimensional incompressible fluids

2017 ◽  
Vol 2 (9) ◽  
Author(s):  
Sriram Ganeshan ◽  
Alexander G. Abanov
Keyword(s):  
Incompressible Fluids ◽  
Two Dimensional

scholarly journals Simulation of compressible and incompressible flows in the presence of shocks

2019 ◽  
Vol 286 ◽  
pp. 07018
Author(s):  
H. Benakrach ◽  
M. Taha-Janan ◽  
M.Z. Es-Sadek
Keyword(s):  
Equation Of State ◽  
Finite Volume Method ◽  
Euler Equations ◽  
Finite Volume ◽  
Incompressible Flows ◽  
Generalized Equation ◽  
Incompressible Fluids ◽  
Two Dimensional ◽  
First Results ◽  
Volume Method

The purpose of the present work is to use a finite volume method for solving Euler equations in the presence of shocks and discontinuities, with a generalized equation of state. This last choice allows to treat both compressible and incompressible fluids. The first results of the work are presented. They consist in simulating two-dimensional single-specie flows in the presence of shocks. The results obtained are compared with the analytical results considered as benchmarks in the domain.

INCOMPRESSIBLE FLUIDS

2005 ◽  
Vol 20 (27) ◽  
pp. 6122-6132 ◽  
Author(s):  
S. G. RAJEEV
Keyword(s):  
Fluid Flow ◽  
Incompressible Fluid ◽  
Quantum Groups ◽  
Three Dimensional ◽  
Incompressible Fluids ◽  
Two Dimensional ◽  
Incompressible Fluid Flow ◽  
Fluid System ◽  
Random Forces ◽  
Turbulent Incompressible Fluid

We propose a model for random forces in a turbulent incompressible fluid by balancing the energy gain from fluctuations against dissipation by viscosity. This leads to a more singular covariance distribution for the random forces than is ordinarily allowed. We then propose regularization of the fluid system by matrix models. A formula for entropy of a two dimensional fluid is derived and then a vorticity profile of a hurricane that maximizes entropy. A regularization of three dimensional incompressible fluid flow using quantum groups is also proposed.

scholarly journals Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz's equation

1986 ◽  
Vol 9 (1) ◽  
pp. 175-184 ◽  
Author(s):  
B. N. Mandal ◽  
R. N. Chakrabarti
Keyword(s):  
Line Source ◽  
Horizontal Plane ◽  
Incompressible Fluids ◽  
Vertical Line ◽  
Two Dimensional ◽  
Laplace’S Equation ◽  
Fluid Medium ◽  
Laplace's Equation ◽  
Time Harmonic ◽  
Two Fluid

Velocity potentials describing the irrotational infinitesimal motion of two superposed inviscid and incompressible fluids under gravity with a horizontal plane of mean surface of separation, are derived due to a vertical line source present in either of the fluids, whose strength, besides being harmonic in time, varies sinusiodally along its length. The technique of deriving the potentials here is an extension of the technique used for the case of only time harmonic vertical line source. The present case is concerned with the two-dimensional modified Helmholtz's equation while the previous is concerned with the two-dimensional Laplace's equation.

Numerical Investigation of Single-Mode Richtmyer-Meshkov Instability

2005 ◽  
Author(s):  
Nicholas Mueschke ◽  
Wayne N. Kraft ◽  
Odion Dibua ◽  
Malcolm J. Andrews ◽  
Jeffrey W. Jacobs
Keyword(s):  
Initial Velocity ◽  
Single Mode ◽  
Incompressible Fluids ◽  
Late Time ◽  
Two Dimensional ◽  
Time Step ◽  
Incompressible Media ◽  
Velocity Impulse ◽  
Acceleration History ◽  
Flux Limiters

The Richtmyer-Meshkov (RM) instability occurs when a shock passes through a perturbed interface separating fluids of different densities. Similarly, RM instabilities may also occur when a perturbed interface between two incompressible fluids of different density is impulsively accelerated. We report work that investigates RM instabilities between incompressible media by way of numerical simulations that are matched to experiments reported by Niederhaus & Jacobs [1]. We also describe a compact, fractional time-step, two-dimensional, finite-volume numerical algorithm that solves the non-Bousinesq Euler equations explicitly on a Cartesian, co-located grid. Numerical advection of volume fractions and momentum is second-order accurate in space and unphysical oscillations are prevented by using Van Leer flux limiters [2,3]. An initial velocity impulse has been used to model the impulsive acceleration history found in the experiments [1]. We report accurate simulation of the experimentally measured early-, intermediate-, and late-time penetrations of one fluid into another.

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