An adaptive ALE method for underwater explosion simulations including cavitation

Nonlinear preconditioning for efficient and accurate interface capturing in simulation of multicomponent compressible flows

“…In this section we consider a model underwater explosion problem [9,12,14,62,63,69,77,88,100] that involves interaction of a 0.24 m diameter cylindrical air cavity at a high initial pressure (10 9 Pa) and density (1250 kg/m 3 ) with a water-air Fig. 10 illustrates the computed solution as a function of time for calculations on a 1200 × 1200 grid using the preconditioned interface sharpening technique.…”

“…Next we consider a one-dimensional test case concerned with growth and oscillations of a spherical gas bubble in a quiescent liquid medium [61][62][63]87]. The initial condition is given by…”

“…We consider an Eulerian description of the flow field and the material interface as opposed to a Lagrangian interface tracking approach in the Arbitrary Lagrangian Eulerian [61][62][63][64] and the free Lagrange methods [65][66][67] which do not suffer from artificial numerical smearing of the material interface. However, ALE methods require frequent computationally expensive remeshing and are challenged by large topological changes.…”

A CWENO ghost fluid method for compressible multimaterial flow

“…The left and right initial conditions are set to the following [10,37]: The left and right initial conditions are set to the following [10,37]:…”

“…In the third gas-water Riemann problem, the water phase is assumed to behave as a baratropic fluid and the Tait EOS is used to model it. The left and right initial conditions are set to the following [10,37]:…”