# Tag Info

Accepted

### Plotting Joukowski Airfoil Streamlines using conformal maps

There is no simple method to display streamlines using the Zhukovsky function. I will show an example with a Zhukovsky profile at an angle of attack. ...
• 43.4k

### Nonlinear FEM Solver for Navier-Stokes equations in 2D

In Version 12.0 this has become much easier, as now there is a nonlinear finite element solver. Here is the code: Set up the region. ...
• 39.4k
Accepted

### 1D Euler equations (fluid dynamics) with NDSolve

Update-1: The initial conditions in the question were wrong/incomplete. (removed 1/0 errors) Update-2: The 1D Euler equations were modified to match this source. (ultimately not necessary in V10.4, ...
• 7,485
Accepted

### Stable fluids code for electromagnetic mixture application

Let's Compile. ...
• 65.4k
Accepted

### Solver for unsteady flow with the use of the Navier-Stokes and Mathematica FEM

Here is a result for your second test (update 2). Let me show how I tackled example c) 2D-3 (unsteady), page 4 from the cited paper. The reason I choose this example is that for example 2D-2 the ...
• 39.4k

### How to create a fluid animation like this?

We cannot accurately reproduce what is shown in the animation, since the initial data are unknown. We can show a similar mixing process at the boundary of two oncoming flows. We use FEM and the NSE ...
• 43.4k

### Solving Navier-Stokes equations for a steady-state compressible viscous flow in a 2D axisymmetric step

I prepared a solver for the steady axisymmetric flow of a viscous incompressible fluid for Reynolds numbers up to 1000 (but it is possible more, up to loss of stability) in geometry, which the author ...
• 43.4k
Accepted

### Reciprocating flow in a channel over a heated surface

We can solve this problem with method proposed on my page. Solution1. We use nondimensional form of equations with scale d and $t_s = d^2/(k_f/(c_p \rho))$. We ...
• 43.4k
Accepted

### I failed to solve a set of one-dimension fluid mechanics PDEs with NDSolve

With the experience gained in past 6 years, I manage to find out a more efficient solution for this problem :D . This problem turns out to be another example on which the difference scheme ...
• 65.4k

• 57.2k
Accepted

### Area/Volume of a 2D/3D object as it is filled up with water

Here is a fairly general solution that should work in any dimensions and will not allow you to overflow. ...
• 2,072
Accepted

### How to display warning message inside manipulate?

Here is a quick way to do it. Just add another small window that shows the status. In there you can add messages. ...
• 142k
Accepted

### Analytic solution to Orr-Sommerfeld-Squire equations for a special case

Dispersion relations for this question can be derived in a straightforward manner, as I described in an earlier comment above. Solve the two ODEs in turn but without boundary conditions. ...
• 61.3k

### Analytic solution to Orr-Sommerfeld-Squire equations for a special case

(1)&&(3) It is possible to construct analytical solutions for even and odd modes, using the boundary conditions at the center of the channel and on one of the walls. These solutions depend on ...
• 43.4k

### The FEMDampingElements operator failed

The issue here is that currently NDSolve with the finite element method can not handle non-constant coefficients for time derivatives. In order to work around that ...
• 39.4k
Accepted

### Non-Newtonian Momentum Eqn in a rectangular pipe

We can use the FEM solver from here Solver for unsteady flow with the use of the Navier-Stokes and Mathematica FEM or from here https://community.wolfram.com/groups/-/m/t/1433064 Let's make a small ...
• 43.4k

### Stokes' second problem

The PDE along with the initial and boundary conditions constitute the famous Stokes second problem. Here a comparison has been made among Maple, Mathematica and COMSOL solving the same model. The ...
• 11.9k