Two-dimensional PDF/SPH simulations of compressible turbulent flows
We describe recent progress made in the development and implementation of a two-dimensional Monte Carlo/PDF/SPH particle method. The approach, which is applicable to compressible turbulent flows, incorporates elements of smoothed particle hydrodynamics to extract mean quantities form the particles, including the mean pressure gradient. A new and efficient algorithm based on Fourier-series expansions of the SPH kernel is used to compute these means; for a simulation with \(N\) particles the computational work scales purely as \({\mathcal O}(N)\). A thorough study of numerical errors introduced by the finite series expansion is also performed, and results are presented which show that these errors scale as expected and can be made negligibly small using modest computing requirements.
scientific article; zbMATH DE number 1160732