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A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation. (English) Zbl 1290.76133
Summary: We compare various Lagrangian and Eulerian hydrodynamics methods for two-material compressible flow. We investigate staggered and cell-centered Lagrangian schemes with Tipton’s mixture model for pressure relaxation. We compare direct Eulerian methods (five-equation model and a sharp Eulerian method) to a Lagrange plus remap method. We have tested our methods on classical one-dimensional shock tube problems with perfect and stiffened gas equations of state. In order to include Tipton’s mixture model in the cell-centered Lagrangian scheme, we have introduced a correction algorithm to ensure conservation of total energy. We have found that the tested algorithms compared favorably for averaged quantities. However, differences appear in multimaterial cell quantities and near the material interface discontinuity due to the localized effects of the mixture model and interface treatments.

MSC:
76N15 Gas dynamics (general theory)
76M20 Finite difference methods applied to problems in fluid mechanics
76T99 Multiphase and multicomponent flows
Software:
HE-E1GODF
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