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In this article we develop a new smoothed particle hydrodynamics (SPH) method suitable for solving the incompressible Navier-Stokes equations, even with singular forces. Singular source terms are handled in a manner similar to that in the immersed boundary (IB) method of Peskin (2002). The numerical scheme implements a second-order pressure-free pr...
A new coupled Brownian dynamics-smoothed particle hydrodynamics method for the computation of confined flows of non-dilute polymer solutions with full hydrodynamic interaction and excluded volume forces is presented. The starting point for the algorithm is the system of coupled Langevin equations for polymer and solvent (CLEPS) (see Oono and Freed...