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Local Poisson SPH For Viscous Incompressible Fluids

Computer Graphics Forum, 2012
AbstractEnforcing fluid incompressibility is one of the time‐consuming aspects in SPH. In this paper, we present a local Poisson SPH (LPSPH) method to solve incompressibility for particle based fluid simulation. Considering the pressure Poisson equation, we first convert it into an integral form, and then apply a discretization to convert the ...
Xiaowei He 0004   +4 more
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Viscous Incompressible Fluids

2019
In this chapter we study the motion of a viscous incompressible fluid. In such a fluid the stress tensor is equal to the difference between the viscosity tensor and the unit tensor times pressure. When the viscosity tensor is zero this model reduces to the model of ideal incompressible fluid.
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Flows of Incompressible Viscous Fluids

2014
As it was shown in Sect. 3.2.5, the density variations in a fluid flow decrease with the square of the Mach number (the ratio of the fluid velocity to the sound speed). Hence, for many fluid flows, and especially for those of liquids, incompressibility is an excellent approximation. Moreover, it simplifies very much the equations of motion.
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Stability of the Rest State of a viscous incompressible fluid

Archive for Rational Mechanics and Analysis, 1994
The paper discusses the existence of solutions for fluid flow equations over a spatial domain under prescribed body forces and initial velocity. For a nonlinear Reiner-Rivlin type of deviatoric stress, the paper proves the global existence of strong solutions under suitable restrictions on the body forces and initial velocity and establishes ...
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Incompressible Viscous Fluid Flow

2014
The flow of incompressible and viscous fluid is considered in this chapter. The continuity condition and the equations of motion, the Navier-Stokes equations for the Newtonian fluid, are derived. The Stokes equation for the low Reynolds number flow is discussed and its associated functional expression is presented. The governing equations are then made
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Stability and bifurcation in viscous incompressible fluids

Journal of Mathematical Sciences, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Point vortex in a viscous incompressible fluid

Journal of Applied Mechanics and Technical Physics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Cylinder in viscous incompressible fluid flow

Fluid Dynamics, 1968
We present a technique for calculating the temperature field in the vicinity of a cylinder in a viscous incompressible fluid flow under given conditions for the heat flux or the cylinder surface temperature. The Navier-Stokes equations and the energy equation for the steady heat transfer regime form the basis of the calculations.
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Stability of a Rotor Partially Filled With a Viscous Incompressible Fluid

Journal of Applied Mechanics, 1979
A hollow circular cylinder rotating with constant angular velocity and partially filled with a viscous incompressible fluid has been analyzed for stability. The analysis can be extended to apply to many different rotor geometries. The results of this analysis predict that over a range of operating speeds, the system is unstable.
Hendricks, S. L., Morton, J. B.
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Flow in Pipes of Viscous Incompressible Fluids

1988
The flow of fluids through pipes may be either laminar or turbulent as defined on page xiv. Flow in a closed pipe results from a pressure difference between inlet and outlet. The pressure is affected by fluid properties and flow rate. When the flow velocity is significant compared with the sonic velocity of the fluid medium (as in compressible flows ...
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