Three‐dimensional remeshed smoothed particle hydrodynamics for the simulation of isotropic turbulence

Abstract

SummaryWe present a remeshed particle-mesh method for the simulation of three-dimensional compressible turbulent flow. The method is related to the meshfree smoothed particle hydrodynamics method, but the present method introduces a mesh for efficient calculation of the pressure gradient, and laminar and turbulent diffusion. In addition, the mesh is used to remesh (reorganise uniformly) the particles to ensure a regular particle distribution and convergence of the method. The accuracy of the presented methodology is tested for a number of benchmark problems involving two-and three-dimensional Taylor-Green flow, thin double shear layer, and three-dimensional isotropic turbulence. Two models were implemented, direct numerical simulations, and Smagorinsky model. Taking advantage of the Lagrangian advection, and the finite difference efficiency, the method is capable of providing quality simulations while maintaining its robustness and versatility.

An implicit boundary approach for viscous compressible high Reynolds flows using a hybrid remeshed particle hydrodynamics method

“…Subsequently, the hrSPH method is used directly without altering the numerical scheme; it intrinsically deals 105 with the term χ η (u − u o ) (the penalisation field). For more details regarding the hrSPH method and the algorithm, the reader is referred to [44], a short summery of the hrSPH method is illustrated next.…”

“…Remeshed SPH (rSPH) is an alternative approach to overcome particle distortion as proposed by Chaniotis et al [42,43], in rSPH the particles are uniformly reinitialised (remeshed) on a regular mesh by interpolating the strengths of the particles to the mesh via interpolation function, then a new set of particles is generated and the moments of the field quantities are interpolated back. This method was later extended by Obeidat and Bordas [44] where a hybrid rSPH is proposed, taking advantage of both the Lagrangian and the Eulerian schemes, as the right hand side of the governing equations is computed on the mesh, and the change of momentum is later interpolated to the particles where the advection takes place.…”

“…We introduce an implicit boundary approach for the simulation of viscous compressible high Reynolds flows around or inside complex geometries. The method is based on the previously proposed hybrid remeshed smoothed particle hydrodynamics method (hrSPH) by Obeidat and Bordas [44]. In the current contribution a mask function is added on the grid to implicitly mark the regions where the solid geometry is located.…”

Exploring the Design Efficiency of Random Microfluidic Mixers

“…It will be interesting to use the open-source Computational Fluid Dynamics packages (e.g. OpenFOAM [26]) to investigate the fluid behavior of random microfluidic mixers as well as using custom algorithms such as Remeshed Smoothed Particle Hydrodynamics [27]- [29].…”

Prediction of multiphase flows with sharp interfaces using anisotropic mesh optimisation

“…A recent extension to SPH uses a background mesh for accurate calculation of the pressure gradient. The mesh also enables the redistribution of particles to obtain a regular particle distribution which ensures convergence of the method [23,24]. Particle methods often require many millions of particles for complex problems and Incardona et al [25] present a scalable and efficient framework, which parallelises several particle methods including SPH, demonstrating the method with a dam-break problem using 10s of millions of particles.…”