Simulating free surface flows with SPH
Journal of Computational Physics
SPH without a tensile instability
Journal of Computational Physics
Smoothed particle hydrodynamics using interparticle contact algorithms
Journal of Computational Physics
Numerical simulation of interfacial flows by smoothed particle hydrodynamics
Journal of Computational Physics
On the problem of penetration in particle methods
Journal of Computational Physics
von Neumann stability analysis of smoothed particle hydrodynamics-suggestions for optimal algorithms
Journal of Computational Physics
Smoothed Particle Hydrodynamics for coastal engineering problems
Computers and Structures
Journal of Parallel and Distributed Computing
Numerical modelling of armour block sea breakwater with smoothed particle hydrodynamics
Computers and Structures
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A free-surface fluid solver called SPHysics is presented. Part 1 provides a description of the governing equations based on Smoothed Particle Hydrodynamics (SPH) theory. The paper describes the formulations implemented in the code including the classical SPH formulation along with enhancements like density filtering, arbitrary Lagrange-Euler (ALE) schemes and the incorporation of Riemann solvers for particle-particle interactions. Second-order time stepping schemes are presented along with the boundary conditions employed which can handle floating objects to study fluid-structure interaction. In addition, the model implementation is briefly described. This information will be used in Part 2, where the efficiency of the code is discussed, along with several study cases.