Godunov-Type Scheme with Applications in Hydrodynamics. Modelling, Analysis and211 Simulation

摘要

In spite of the absence of shock waves in most hydrodynamic applications,211u001esufficient reason remains to employ Godunov-type schemes in this field. In the 211u001einstance of two-phase flow, the shock capturing ability of these schemes may 211u001eserve to maintain robustness and accuracy at the interface. Moreover, approximate 211u001eRiemann solvers have greatly relieved the initial drawback of computational 211u001eexpensiveness of Godunov-type schemes. In the present work the authors develop an 211u001eOsher-type flux-difference splitting approximate Riemann solver and they examine 211u001eits application in hydrodynamics. Actual computations are left to future 211u001eresearch.