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Center for Nonlinear Studies |
We develop an approach for numerical simulation of free surface flows of Newtonian and viscoplastic incompressible fluids. The approach is based on the level set method for capturing free surface evolution and features compact finite difference approximations of fluid and level set equations on locally refined and dynamically adapted octree cartesian grids. Popular in computer graphics and fluid animation dynamic octree meshes turn out to be quite challenging if solutions to governing fluid equations should be of scholar accuracy. Thus several important choices have to be made and tools to be developed for the entire simulations to be predictive and to remain efficient. A disretization, the handling of constitutive relations, a surface reconstruction, a surface tension forces evaluation: these and other building blocks of the numerical method will be discussed in the talk. Numerical examples will demonstrate the performance of the approach for several benchmark and complex 3D Newtonian and viscoplastic fluids with free surfaces. This is a part of the joint research with Kirill Nikitin and Kirill Terehov from INM RAS and Maxim Olshanskii from Moscow State University.
Host: Mikhail Shashkov, XCP-4 Methods and Algorithms, 667-4400