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Atmospheric Turbulence in the Anisotropic Boundary Layer
Published in N. Blaunstein, N. Kopeika, Optical Waves and Laser Beams in the Irregular Atmosphere, 2017
Now it is possible to solve the problems of flow dynamics numerically with the aid of free specialized software called “the Gerris Flow Solver” [185,186] as a free software for solution of partial differential equations describing problems of flow dynamics. This open-source software was developed by Stéphane Popinet [185,186,189,190]. The efficiency and needed accuracy of the software [185] were tested and confirmed at a rather wide class of 100 typical test problems [186–190], the solution of which gives good results.
Three-dimensional numerical simulation on the spreading characteristics of a liquid metal droplet in a horizontal magnetic field
Published in Numerical Heat Transfer, Part A: Applications, 2018
Tian-Yang Han, Juan-Cheng Yang, Jie Zhang, Ming-Jiu Ni
The numerical computations presented in this paper are performed using the open-source code Gerris, which is an accurate adaptive solver for incompressible interfacial flows. The Navier-Stokes equations are discretized by a finite volume scheme on a collocated Cartesian grid and solved using a time-staggered approximate projection method which is second order accurate in both space and time. A quad/octree based adaptive mesh refinement (AMR) technique is employed in the spatial discretization. This approach allows the mesh to be refined or coarsened automatically according to interface position, vorticity or other user-defined criterions, which makes Gerris suitable and efficient for simulating multiphase flows. The liquid-gas interface is tracked by the volume of fluid (VOF) method with a piecewise linear interface construction (PLIC) and a geometrical flux computation. The surface tension force is calculated using the balanced-force continuum surface force (CSF) scheme which, combined with a height-function (HF) based curvature estimation, can significantly reduce the parasitic currents in the vicinity of the interface. More details of the above-mentioned numerical scheme and their validations can be found in [27,28].
Easy-to-implement multidimensional spline interpolation with application to ship design optimisation
Published in Ship Technology Research, 2018
The flow solution for the computation of the total resistance has been obtained using the free software Gerris described extensively in Popinet (2003). Gerris is a Free Software program for the solution of the partial differential equations describing fluid flow. The source code is available free of charge under the Free Software GPL licence. Among the different features, it is able to solve the time-dependent incompressible variable-density Navier–Stokes equations using an adaptive mesh refinement scheme.