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

作者：Francois M M^*; Shashkov M J; Masser T O; Dendy E D

来源：Computers & Fluids, 2013, 83: 126-136.

DOI：10.1016/j.compfluid.2012.06.011

• Multimaterial Euler equations
• Hydrodynamics methods
• 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) 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.

• 出版日期2013-8-16
• 单位Los Alamos