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The Projection on Proper elements (PoPe) is a novel method of code controldedicated to 1) checking the correct implementation of models, 2) determiningthe convergence of numerical methods and 3) characterizing the residual errorsof any given solution at very low cost. The basic idea is to establish abijection between a simulation and a set of equations that generate it.Recovering equations is direct and relies on a statistical measure of theweight of the various operators. This method can be used in any dimensions andany regime, including chaotic ones. This method also provides a procedure todesign reduced models and quantify the ratio costs to benefits. PoPe is appliedto a kinetic and a fluid code of plasma turbulence.

physics of plasmas

PoPe (Projection on Proper elements) for code control: verification,  numerical convergence and reduced models. Application to plasma turbulence  simulations