SIAM Journal on Scientific and Statistical Computing
A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Simulation of cavity flow by the lattice Boltzmann method
Journal of Computational Physics
Reconstructing volume tracking
Journal of Computational Physics
The constrained interpolation profile method for multiphase analysis
Journal of Computational Physics
Journal of Computational Physics
Completely conservative and oscillationless semi-Lagrangian schemes for advection transportation
Journal of Computational Physics
Journal of Computational Physics
Efficient implementation of THINC scheme: A simple and practical smoothed VOF algorithm
Journal of Computational Physics
Animation of ice melting phenomenon based on thermodynamics with thermal radiation
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Journal of Scientific Computing
Large scale numerical simulations for multi-phase fluid dynamics with moving interfaces
International Journal of Computational Fluid Dynamics
High order multi-moment constrained finite volume method. Part I: Basic formulation
Journal of Computational Physics
Journal of Computational Physics
A multi-moment finite volume formulation for shallow water equations on unstructured mesh
Journal of Computational Physics
A conservative phase field method for solving incompressible two-phase flows
Journal of Computational Physics
Anti-diffusion method for interface steepening in two-phase incompressible flow
Journal of Computational Physics
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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.