Adaptive simulation of gas-liquid impact waves

摘要

We consider the propagation of waves in tanks leading to gas pocket and flip-through impacts. The proposed high-precision numerical approach is based on an Arbitrary La-grangian Eulerian/Finite Element (ALB/FE) formulation to simulate flows with sharp interfaces between several fluids or phases. The method relies on the explicit representation of interfaces as a collection of inner mesh edges and the direct tracking of the time evolution of these interfaces. The ALE/FE formulation allows for the use of high-order time integrators within a hp-adaptive time integration procedure already developed for single phase flows. The kinematic and dynamic conditions across interfaces are enforced with the use of zero-thickness interfacial finite-element along interfaces. The simulation of very large deformation of interfaces is rendered possible by the use of an adaptive remeshing algorithm. Discretization errors are assessed through mesh and stepsize refinement studies while calculated wave shapes and pressure fields are compared to non linear bi-fluid potential flow solutions.