A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation

A comparative study of multimaterial Lagrangian and Eulerian methods with pressure relaxation

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)...

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Bibliographic Details
Published in:Computers & fluids Vol. 83; pp. 126 - 136
Main Authors: Francois, M.M., Shashkov, M.J., Masser, T.O., Dendy, E.D.
Format: Journal Article
Language:English
Published: Elsevier Ltd 16-08-2013
Subjects:
Algorithms
Computational fluid dynamics
Computer simulation
Discontinuity
Energy conservation
Fluid flow
Fluids
Hydrodynamics methods
Multimaterial Euler equations
Pressure relaxation
Shock tubes
Multimaterial Euler equations
Hydrodynamics methods
Pressure relaxation
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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.
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ISSN:0045-7930
1879-0747
DOI:10.1016/j.compfluid.2012.06.011