On the computation of the BaerNunziato model using ALE formulation with HLL- and HLLC-type solvers towards fluidstructure interactions
Computation of compressible two-phase flows with the unsteady compressible BaerNunziato model in conjunction with the moving grid approach is discussed in this paper. Both HLL- and HLLC-type Finite-Volume methods are presented and implemented in the context of Arbitrary LagrangianEulerian formulation in a multidimensional framework. The construction of suitable numerical methods is linked to proper approximations of the non-conservative terms on moving grids. The HLL discretization follows global conservation properties such as free-stream preservation and uniform pressure and velocity profiles preservation on moving grids. The HLLC solver initially proposed by Tokareva and Toro [1] for the BaerNunziato model is based on an approximate solution of local Riemann problems containing all the characteristic fields present in the exact solution. Both subsonic and supersonic configurations are considered in the construction of the present HLLC solver. In addition, an adaptive 6-wave HLLC scheme is also proposed for computational efficiency. The methods are first assessed on a variety of 1-D Riemann problems including both fixed and moving grids applications. The methods are finally tested on 2-D and 3-D applications: 2-D Riemann problems, a 2-D shockbubble interaction and finally a 3-D fluidstructure interaction problem with a good agreement with the experiments.
ale formulation fluidstructure interaction finite-volume method two-phase compressible flows baernunziato equations hll/hllc solver unstructured grids