During my Ph.D thesis, I developed wavelet methods for solving incompressible Navier-Stokes equations with physical boundary conditions. Below are examples of simulations obtained with
my wavelet numerical code. For details see my thesis
dissertation [tel-00544373]

pdf.

### Lid driven cavity flow

The lid driven cavity flow is a benchmark problem
widly used in the work of literature. We used this benchmark to
evaluate the performance of our method. The divergence-free scaling
function coefficients (left) correspond to a flow with Re=5000 simulated
at j=8 space resolution. The vorticity (right) corresponds to a flow with
Re=50000 simulated at j=9 space resolution. The vertical velocity
profile is v=(-16x^2(1-x)^2,0).

### Vortex dipole rebound from a wall

This test allows us to evaluate the effect
homogeneous Dirichlet boundary condition. The space resolution
corresponds to j=9 and the used kinematic viscosity is nu=1/5000.

### 3D vortex tube reconnection

In this simulation we used periodic box, with 64^3
points. The first simulation (left) shows the isocontours of the vorticity
and the second (right) shows the vorticity in the reconnection plan.

### For my post-doc research simulations go to geo-fluid web page.

### Wavelet linked by differentiation /integration for the 1D Poisson equation matlab code .