Analysis of the Numerical Flux Treatment in the Species Equation and Its Impact on Solution Stability in rhoCentralRfFoam
DOI:
https://doi.org/10.70567/mc.v42.ocsid8449Keywords:
Chemically Reactive Flows, Species Transport Equations, rhoCentralRfFoamAbstract
The rhoCentralRfFoam solver, based on rhoCentralFoam (OpenFOAM), is designed to solve the Euler equations for chemically reactive compressible flows with detailed reaction models. Unlike the base solver, it includes the solution of the chemical species transport equations. By employing an explicit central-upwind formulation, the definition of the numerical flux in these equations becomes critical, as it directly influences the stability and accuracy of the solutions. This study analyzes two strategies for its computation: (i) multiplying the volumetric flux by the conserved variable (rhoY), treated as a single quantity, and (ii) multiplying the volumetric flux by the corresponding primitive variables, density (rho) and mass fraction (Y), considered separately. The objective of this work is to evaluate the impact of both formulations on the stability and physical consistency of the solutions, in order to identify the most accurate and stable approach.
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