Application of the reactor system code RELAP-7 to single-and two-phase flow water-hammer problems
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The primary basis of the RELAP-7 [1] governing theory includes the single-phase Euler equations and the 7-equation two-phase flow models. It is well established that these hyperbolic conservation laws can develop shocks and discontinuities and thus, require a stabilization numerical method. The all-Mach flow Entropy Viscosity Method is now employed in RELAP-7 as a stabilization numerical method for both above flow models. The entropy viscosity technique is a viscous regularization technique: adequate dissipation terms (viscous fluxes) are added to the governing laws while ensuring the entropy minimum principle still holds. Viscosity coefficients modulates the magnitude of the added dissipation such that it is large in shock regions and vanishingly small elsewhere. The stabilization capabilities of the Entropy Viscosity Method are demonstrated in the system code RELAP-7 by simulating a 1-D single and two-phase water-hammers.
