Numerical simulations of free-interface fluids by a multi-integrated moment method

This paper presents a work on constructing numerical model for multi-fluid dynamics by utilizing the integrated moments of the dependent variables. The presented method, namely VSIAM3 (Volume/Surface Integrated Average based Multi-Moment Method), employs two integrated moments which are called volume integrated average (VIA) and SIA (Surface Integrated Average), and results in a new finite volume formulation for solving general fluid dynamical problems. Using both VIA and SIA as the model variables, VSIAM3 has compact mesh stencil and larger flexibility in designing the computational algorithm of the solution procedure, thus is suited for dealing with complicated flows. Numerical aspects which are under the framework of VSIAM3 to accommodate the obstacle computation and the interface capturing will be discussed with numerical examples.