@phdthesis{oai:oist.repo.nii.ac.jp:00000694,
 author = {Chola, Kalale},
 month = {2018-08-31, 2018-08-31},
 note = {The smoothed particle hydrodynamics (SPH) method is an efficient numerical technique for simulating complex problems such as free flows. Since such flows are characterized by high Reynolds number, turbulence modeling is a necessity. In the literature, some models from Eulerian based numerical schemes have been adopted but comprehensive analyses of their effectiveness have not been provided.
In this thesis, a version of SPH that implicitly models turbulence has been developed. First, using a convolution filter, a filtering integral transform (FIT) is proposed and applied to the underlying, disordered field fρ; p; ρug to construct a smooth field fhρhi; hphi; hρhiuehg. Using the FIT, filtered equations consistent with explicit Large Eddy Simulation (LES) are derived. Second, using a deconvolution filter, a de-filtering integral transform (DIT) is proposed as an inverse transform to the FIT. By applying the DIT to the filtered equations a high order version of SPH, to be called SPH-i is formulated. In SPH-i, unlike SPH, the disordered field is evolved dynamically. Third, unlike standard SPH two inverse filters are required; a convolution filter and a deconvolution filter. A rigorous method for constructing these filters in 2D is presented. Fourth, to address the problem of numerical oscillations in the pressure field, common in standard SPH, has been addressed by introducing a differential equation for the pressure field that includes smoothing terms.
The proposed SPH-i model was applied to a number of free surface flow problems and the results are promising.},
 school = {Okinawa Institute of Science and Technology Graduate University},
 title = {SPH法による砕波の散逸現象のシミュレーション},
 year = {},
 yomi = {チョラ, カラレ}
}