Direct numerical simulation of three-dimensional isotropic turbulence with smoothed particle hydrodynamics

This study presents an investigation of the capability smoothed particle hydrodynamics (SPH) to simulate three-dimensional isotropic turbulence. The effect error introduced by disorder is assessed comparing standard Lagrangian SPH with Eulerian adaptation. For free decay turbulence in a triple periodic box, shows very good agreement reference solution, while simulations yields incorrect prediction turbulent energy spectra. first time, on linearly forced also conducted focus how numerical dissipation affects obtained solution. It found that using Godunov-type scheme for continuity equation and employing Roe's approximate solver Riemann problem at interface each neighboring particle, stable solution obtained, which results predicted theory homogeneous efficacy shifting technique applied flows studied end. Numerical findings indicate corrective terms derived from arbitrary Lagrangian–Eulerian are essential proper estimation characteristics.