ana1Tests.simiSolTest

Similarity solution module

This module contains functions that compute the similarity solution for a gliding avalanche on a inclined plane according to similarity solution from : Hutter, K., Siegel, M., Savage, S.B. et al. Two-dimensional spreading of a granular avalanche down an inclined plane Part I. theory. Acta Mechanica 100, 37–68 (1993). https://doi.org/10.1007/BF01176861

Functions

Ffunction	Calculate right hand side of the differential equation : dx/dt = F(x,t) F is discribed in Hutter 1993.
analyzeResults	Compare analytical and com1DFA results
calcEarlySol	Compute the early solution for 0<t<t_1 to avoid singularity in the Runge-Kutta integration process
computeEarthPressCoeff	Computes the earth pressure coefficients function of sng of f and g i.e depending on if we are in the active or passive case
computeFCoeff	Compute coefficients eq 3.2 for the function F
computeH	get flow thickness from f and g solutions
computeU	get flow velocity in x direction from f and g solutions
computeV	get flow velocity in y direction from f and g solutions
computeXC	get center of mass location
defineEarthPressCoeff	Define earth pressure coefficients
getReleaseThickness	Define release thickness for the similarity solution test
getSimiSolParameters	get flow thickness, flow velocity and center location of flow mass of similarity solution for required time step
mainSimilaritySol	Compute similarity solution :Parameters: simiSolCfg (pathlib path) -- path to simiSol configuration file
odeSolver	Solve the ODE using a Runge-Kutta method
postProcessSimiSol	loop on all DFA simulations and compare then to the anlytic solution
prepareParticlesFieldscom1DFA	get fields and particles dictionaries for given time step, for com1DFA domain origin is set to 0,0 for particles - so info on domain is required