Modelling, Analysis and Simulation Riemann-problem and level-set approaches for two-fluid flow computations II. Fixes for solution errors near interfaces

Fixes are presented for the solution errors (`pressure oscillations') that may occur near twouid interfaces when applying a capturing method. The xes are analyzed and tested. For twouid ows with arbitrarily large density ratios, a variant of the ghostuid method appears to be a perfect remedy. Results are presented for compressible water-air ows. The results are promising for a further elaboration of this important application area. The paper contributes to the state-of-the-art in computing twouid ows. 2000 Mathematics Subject Classi cation: 65M12, 65M15, 65M60, 76N99, 76T10