# Questions tagged [fluid-dynamics]

For questions about fluid dynamics which studies the flows of fluids and involves analysis and solution of partial differential equations like Euler equations, Navier-Stokes equations, etc. Tag with [tag:mathematical-physics] if necessary.

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### Amplitude of waves in water after a disturbance [closed]

Suppose I have a perfectly circular pool which is five meters in radius, three meters in depth, and filled with water. Say I drop a steel ball with a radius of five centimeters into the middle of the ...
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### Simplifying the Navier-Stokes equation via clever choice of the pressure field

Is there any way to simplify the Navier-Stokes equation in $3$-dimensional space by choosing a clever pressure field? I don't know much about PDES but I thought of this question.
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### Unstable behavior of Cl (lift coefficent) in fluent

Using fluent for simulate the flow around a squared cilinder with rounded corners i get this wrong behavior (exponentially) for what concern the lift coefficient. The boundary conditions are uniform. ...
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### Proving that Stokeslet form of solution actually solves Stoke's flow

Stokes problem is \begin{equation} \nabla^{2}\mathbf{u} + \nabla P = \mathbf{f} \end{equation} has solution \begin{eqnarray} \mathbf{u}(\mathbf{r}) & = & \int_{V} \mathbf{f}(\mathbf{r'})\cdot\...
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### Inclined Rankine Oval

I'm trying to plot Inclined Rankine Oval in Matlab. I use quite simple code: ...
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### For a fluid flow in converging duct find velocity component shear strain rate rotional or irrtional

Consider a viscous fluid flow by pressure drop in a converging duct. The duct’s bottom and top walls are taken to be fixed and flat. The rectangular coordinates system for duct is shown in below ...
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### What is wrong with my bilinear interpolation in Navier-Stokes model?

I'm modeling density of a fluid with a color map using numerical methods to compute the Navier-Stokes equations. This is the code which computes the advected velocity and density based on the ...
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### Numerical simulation of water layer over terrain

I'm looking for a grid-based numerical method that allows simulating water over a grid-based terrain, presumably something like shallow water equations. I have a square grid of terrain elevation ...