sandbox/WMW/plume.c

    Buoyant plume

    Animation of free surface, vertical velocity (left), horizontal velocity (right).

    plot 'log' u 1:4 w l t ''
    Maximum height as a function of time (script)

    Maximum height as a function of time (script)

    #include "grid/multigrid.h"
    #include "axi.h"
    #include "navier-stokes/centered.h"
    
    scalar s[];
    double rho3 = 0.5;
    # define rho(f) (clamp(f,0.,1.)*(clamp(s[],0.,1.)*(rho3 - rho1) + \
    				 rho1 - rho2) + rho2)
    #include "two-phase.h"
    
    #include "tracer.h"
    #include "diffusion.h"
    scalar * tracers = {s};
    
    #include "curvature.h" // for position()
    
    #include "view.h"
    #include "navier-stokes/perfs.h"
    
    #define MAXLEVEL 7
    
    double radius = 0.1, U0 = 2., tinj = 10.;
    
    u.n[left] = dirichlet (U0*(y < radius && t < tinj));
    s[left] = dirichlet(y < radius);
    
    u.n[right] = u.n[] > 0. ? neumann(0) : dirichlet(0);
    p[right] = dirichlet(0);
    
    int main()
    {
      size (5.);
      origin (-L0/2.);
      rho2 = 0.001;
      mu1 = 0.001;
      mu2 = rho2*mu1/rho1;
      N = 1 << MAXLEVEL;
      const face vector G[] = {-1.,0.};
      a = G;
      run();
    }
    
    event tracer_diffusion (i++) {
      const face vector D[] = {0.01,0.01};
      diffusion (s, dt, D);
    }
    
    event init (i = 0) {
      foreach()
        f[] = x < 0.;
      boundary ({f});
    }
    
    event logfile (i++) {
      double ke = 0., pe = 0.;
      foreach(reduction(+:ke) reduction(+:pe)) {
        double r = rho(f[]);
        ke += r*sq(norm(u))/2.*dv();
        pe -= r*x*dv();
      }
      scalar X[];
      position (f, X, (coord){1.,0.});
      fprintf (stderr, "%g %g %g %g\n", t, ke, pe, statsf(X).max);
    }
    
    event outputs (i += 100) {
      dump();
    }
    
    event movie (t += 0.03; t <= 20.) {
      view (fov = 21.0715, quat = {0,0,-0.707,0.707},
    	tx = -0.000575189, ty = 0.0132879, bg = {1,1,1},
    	width = 1208, height = 666, samples = 4);
      box (notics = true);
      draw_vof ("f", filled = -1, fc = {1,1,1});
      squares ("u.x", linear = true);
      mirror (n = {0,1}) {
        draw_vof ("f", filled = -1, fc = {1,1,1});
        squares ("s", linear = true);
        box (notics = true);
      }
      save ("movie.mp4");
    }
    
    #if TREE
    event adapt (i++) {
      adapt_wavelet ({f,u}, (double[]){0.01,1e-2,1e-2}, MAXLEVEL);
    }
    #endif