A second-order accurate capturing scheme for 1D inviscid flows of gas and water with vacuum zones. (English) Zbl 0861.76055
A second-order accurate difference scheme is developed to study cavitation in unsteady, one-dimensional, inviscid, compressible flows of water with gas. As an extended version of the standard MUSCL scheme, this scheme is based on the solutions of local gas-water-vacuum initial value problems. Numerical results are presented for gas-water Riemann problems to demonstrate the performance of the scheme. The scheme is also applied to simulate the cavitation process of the flow in a water shock tube.
MSC:
76M20 | Finite difference methods applied to problems in fluid mechanics |
76T99 | Multiphase and multicomponent flows |
76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
76L05 | Shock waves and blast waves in fluid mechanics |