Ideal Incompressible Fluids

2019 ◽  
pp. 81-98
Author(s):  
Michael S. Ruderman
Keyword(s):  
Incompressible Fluids

The Propagation of Shock Waves in Incompressible Fluids: The Case of Freshwater

2014 ◽  
Vol 132 (1) ◽  
pp. 427-437 ◽  
Author(s):  
Andrea Mentrelli ◽  
Tommaso Ruggeri
Keyword(s):  
Shock Waves ◽  
Incompressible Fluids

ON THE APPLICATION OF A NOVEL ALGORITHM TO HYDRODYNAMIC DIFFUSION AND VELOCITY FLUCTUATIONS IN SEDIMENTING SYSTEMS

1996 ◽  
Vol 07 (04) ◽  
pp. 543-561 ◽  
Author(s):  
WOLFGANG KALTHOFF ◽  
STEFAN SCHWARZER ◽  
GERALD RISTOW ◽  
HANS J. HERRMANN
Keyword(s):  
Numerical Simulations ◽  
Numerical Method ◽  
Incompressible Fluids ◽  
Strong Anisotropy ◽  
Velocity Fluctuations ◽  
Drag Forces ◽  
Large Numbers ◽  
Spatial Dimensions ◽  
Experimental Findings ◽  
Novel Algorithm

We present a numerical method to deal efficiently with large numbers of particles in incompressible fluids. The interactions between particles and fluid are taken into account by a physically motivated ansatz based on locally defined drag forces. We demonstrate the validity of our approach by performing numerical simulations of sedimenting non-Brownian spheres in two spatial dimensions and compare our results with experiments. Our method reproduces qualitatively important aspects of the experimental findings, in particular the strong anisotropy of the hydrodynamic bulk self-diffusivities.

scholarly journals Lagrangian controllability of inviscid incompressible fluids: a constructive approach

2017 ◽  
Vol 23 (3) ◽  
pp. 1179-1200
Author(s):  
Thierry Horsin ◽  
Otared Kavian
Keyword(s):  
Numerical Simulations ◽  
Euler Equation ◽  
Approximate Controllability ◽  
Holomorphic Functions ◽  
Rational Functions ◽  
Incompressible Fluids ◽  
Constructive Method ◽  
Constructive Approach ◽  
Density Result

We present here a constructive method of Lagrangian approximate controllability for the Euler equation. We emphasize on different options that could be used for numerical recipes: either, in the case of a bi-dimensionnal fluid, the use of formal computations in the framework of explicit Runge approximations of holomorphic functions by rational functions, or an approach based on the study of the range of an operator by showing a density result. For this last insight in view of numerical simulations in progress, we analyze through a simplified problem the observed instabilities.

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