Algorithm1 Multiphase viscoelastic PLIC-RDF isoAdvector (MVP-RIA) algorithm

Require: Mesh, physical properties, boundary conditions, initial conditions Ensure: Velocity, pressure, viscoelastic stress tensor and interface geometry fields  1: Initialize fields  2: Set time step, $\Delta t$, or Courant number, $Co$  3: Start time loop and set end time for simulation  4: Set the number of outer correctors, $nOuterCorrectors$, and pressure correctors, $nCorrectors$  5: Set current iteration count $n=1$ and pressure correctors count $m=1$  6: while not converged or $n<nOuterCorrectors$ (PIMPLE corrector loop) do  7:    Compute face fluxes  8:    Update interface geometry using PLIC-RDF isoAdvector algorithm  9:    Compute viscoelastic stress tensor (Equations (4) or (5))  10:    Compute linear momentum equation (Equation (2))  11:    while $m<nCorrectors$ (PISO corrector loop) do  12:      Solve the pressure equation and momentum corrector  13:      Increment iteration count m  14:    end while  15:    Increment iteration count n  16: end while  17: Output results