The DYCO Solver

Yves D'Angelo

DyCo also stands for Dynamiques Couplées ! (in French).

The DYCO Solvers suite

DYCO is a suite of solvers able to compute high accuracy solutions to non-linear stock/flow potentials coupled equations. It is based on a nodal approach strategy.

Imuz.png ImuzSerie.png Sfte.png

Left: Elementary Cell, Coupled potentials (1 or N coupled potentials, also in series)
Right: example in the thermo-electric context

Main features

  • Nodal description of the considered network.
  • Non linear Onsager type coupling between forces & fluxes.
  • Steady, pseudo-unsteady & unsteady computations.
  • Handle local to global scales (i.e. from coarse-grain to fine tuning).
  • Possibly complex non-homogeneous structures and topologies.
  • Possibly anisotropic, discontinuous coupling coefficients; potentials & time dependency can also be included.
  • Local flux continuity enforced
  • Allows for lighter/heavier computations and technological “optimization” !

Sample Results

We show below a short gallery of pictures obtained using the DYCO solver, in the thermo-electric context.

Sample 3D results including a non-homogeneous thermo-electric material with non-constant TE coefficients.
OUIAlpha.png OUITemperature.png
Sample 3D results including a non-homogeneous thermo-electric material with non-constant TE coefficients, continued.
OUIPotential.png OUIElectricCurrent.png
Sample 3D results for N-type junction with non-constant noisy TE coefficients.
OUIEnergyDensity3D.png OUIEntropyProduction.png

In both cases, BC are Homogeneous Neumann and/or Non-Homogeneous Dirichlet.
Each elementary cell is of the non-ideal (non-linear) type.


More specific sub-modules of DYCO shall be devoted to the numerical solution of coupled stock/flow potentials dynamics in the ecological economics and biological contexts.

The numerical solution to the coupling between 1D/3D Maxwell and heat equations is also in progress.


Yves D'Angelo, Christophe Goupil, Eric Herbert, Xanthippi Zianni