Abstract
We investigated discretization strategies of the conservation equation in volume/surface integrated average-based multi-moment method (VSIAM3) which is a numerical framework for incompressible and compressible flows based on a multi-moment concept. We investigated these strategies through the lid-driven cavity flow problem, shock tube problems, 2D explosion test and droplet splashing on a superhydrophobic substrate. We found that the use of the constrained interpolation profile-conservative semi-Lagrangian with rational function (CIP-CSLR) method as the conservation equation solver is critically important for the robustness of incompressible flow simulations using VSIAM3 and that numerical results are sensitive to discretization techniques of the divergence term in the conservation equation. Based on these results, we proposed efficient implementation techniques of VSIAM3.
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