Development of Conservative Front-Capturing Scheme and Applications to Multi-fluid Simulations

Abstract

This paper reports the development of a CFD code for multi-fluid simulations with a newly devised conservative and non-diffusive front-capturing scheme. In the front-capturing scheme, which is so called STAA (Surface Tracking by Artificial Anti-diffusion) method, the volume of fluid (VOF) function is firstly transported with a conservative advection scheme, such as PPM and CIP-CSLR. Then, the diffused VOF function is corrected with a well designed artificial flux to eliminate the numerical smearings. Our numerical tests show that the STAA scheme performs satisfactorily in geometrical accuracy, conservation and numerical dispersion. STAA scheme is readily applied to multi-fluid simulations when incorporated into a C-CUP based model.