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We propose a new particle‐based method for simulating incompressible Navier‐Stokes flows. It is based on a reinterpretation of the optimal transportation meshfree method within the context of Galerkin discretization. This enables us to introduce the incompressibility constraint into the formulation. Furthermore, we present convergence test and illustrate the usability of the method along several test...
In this contribution, we propose a new particle based scheme for computational hydrodynamics. In contrast to existing particle based approaches, we use a maximum entropy approximation scheme to construct corresponding shape functions. These allow first order consistency as well as an efficient realisation of essential boundary conditions. The scheme is relative simple from an algorithmic point of...
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