This example simulates the collapse of a mass, which is initially square shaped. The plastic rheology has been chosen.
The artificial topography is defined with a mathematical function.
initial shape final shape
Copy/paste these lines in the editor of Matlab. Save the .m-file, run VolcFlow and chose the file.
| %A simple example to simulate a collapse in 2D %basic instruction to write a VolcFlow file nrow = 100; %equations are in 2D. At least 3 lignes (or columns) should be defined, even for 1D simulation ncol = 100; %number of column of the simulation dx_horiz = 5; %space step in x (in m) dy_horiz = dx_horiz; %space step in y dt=0.05; %time step (in s) tstep_adjust = 0; %0 = the time step is fixed by the user, 1 = its varies in time using a CFL condition dtplot = 1; %time step for plot tmax = 60; %duration of the simulation g=9.81; %gravity cohesion = 5000; %cohesion or yield strength (depending of the rheology used) rho = 2000; %density (kg/m3) representation = ‘surf(x,y,z+h,h); axis equal;pause(0.1);colormap(mycol);‘; %function used for the visualisation of results (at each dtplot) f_avi = »; %avi file done with the plots. » = no movie is done f_data = »; %save various variables at each dtplot. » = no data is saved bound_cond = »; %vectors x and y – not needed by VolcFlow (for the visualisation of results only) x = [dx_horiz/2:dx_horiz:ncol*dx_horiz-dx_horiz/2]; y = [dy_horiz/2:dy_horiz:nrow*dy_horiz-dy_horiz/2]; %definition of the topography z = 50*sin(y’/100)*sin(x/50); %definition of the initial thickness h=z*0; h(70:80, 40:50)=10; %initially the mass that will flow is a square %initial velocity – 0 here u_xx = z(1:nrow, 1:ncol-1)*0; u_xy = z(1:nrow, 1:ncol-1)*0; u_yy = z(1:nrow-1, 1:ncol)*0; u_yx = z(1:nrow-1, 1:ncol)*0; mycol = jet; %used to modify the colormap mycol(1,:)=[1 1 1]; |
