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In many publications and Euler-Euler codes the pressure-work term in the total enthalpy is stated and implemented as -alpha*dp/dt rather than the conservative form derived from the total internal energy equation -d(alpha*p)/dt. In order for the enthalpy and internal energy equations to be consistent this error/simplification propagates to the total internal energy equation as a spurious additional term p*d(alpha)/dt which is included in the OpenFOAM Euler-Euler solvers and causes stability and conservation issues. I have now re-derived the energy equations for multiphase flow from first-principles and implemented in the reactingEulerFoam solvers the correct conservative form of pressure-work in both the internal energy and enthalpy equations. Additionally an optional limiter may be applied to the pressure-work term in either of the energy forms to avoid spurious fluctuations in the phase temperature in regions where the phase-fraction -> 0. This may specified in the "thermophysicalProperties.<phase>" file, e.g. pressureWorkAlphaLimit 1e-3; which sets the pressure work term to 0 for phase-fractions below 1e-3.
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About OpenFOAM
OpenFOAM is a free, open source computational fluid dynamics (CFD) software package released by the OpenFOAM Foundation. It has a large user base across most areas of engineering and science, from both commercial and academic organisations. OpenFOAM has an extensive range of features to solve anything from complex fluid flows involving chemical reactions, turbulence and heat transfer, to solid dynamics and electromagnetics.
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