The application of compact residual distribution schemes to two-phase flow problems
作者： E. Valero , J. de Vicente , G. Alonso
DOI: 10.1016/J.COMPFLUID.2009.06.002
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摘要: In this work, the application of residual distribution schemes (RDS) to two-phase flow problems is described. These have been previously applied system conservation laws. However, its implementation in not straightforward. Different numerical difficulties encountered: model hyperbolicity, non-conservative form equations, presence source terms and degenerate cases analyzed. Within context, two different models studied. Firstly, we present Cortes model, where inclusion interface pressure term makes original equations hyperbolic, but there no analytical expression eigenvalues, so linear perturbation methods are obtain approximate eigenstructure system. Secondly, Staedtke model. This has designed be expressions eigenvectors can computed. one dimensional tests computed check validity approach.
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