A new smoothed particle hydrodynamics method based on high-order moving-least-square targeted essentially non-oscillatory scheme for compressible flows

In this study, we establish a hybrid high-order smoothed particle hydrodynamics (SPH) framework (MLS-TENO-SPH) for compressible flows with discontinuities, which is able to achieve genuine convergence in smooth regions and also capture discontinuities well non-smooth regions. The can be either fully Lagrangian, Eulerian or realizing arbitary-Lagrangian-Eulerian (ALE) feature enforcing the isotropic distribution specific cases. proposed framework, computational domain divided into regions, these two are determined by strong scale separation strategy targeted essentially non-oscillatory (TENO) scheme. moving-least-square (MLS) approximation used evaluating derivative operator, realize construction; new TENO scheme based on Vila's several improvements will deployed high-wavenumber flow scales low numerical dissipation. present MLS-TENO-SPH method validated set of challenging cases Eulerian, Lagrangian ALE framework. Numerical results demonstrate that features lower dissipation higher efficiency than conventional method, restore accuracy Overall, serves as exploration SPH methods, potential simulations shockwaves.