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

We present a remeshed particle-mesh method for the simulation of three-dimensional compressible turbulent flow. The method is related to the mesh free smoothed particle hydrodynamic (SPH) 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 versatilit

Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics

peer reviewedWe present a consistent mesh-free numerical scheme for solving the incompressible Navier–Stokes equations. Our method is based on entropically damped artificial compressibility for imposing the incompressibility con- straint explicitly, and the Discretization-Corrected Particle Strength Exchange (DC-PSE) method to consistently discretize the differential operators on mesh-free particles. We further couple our scheme with Brinkman penalization to solve the Navier–Stokes equations in complex geometries. The method is validated using the 3D Taylor–Green vortex flow and the lid-driven cavity flow problem in 2D and 3D, where we also compare our method with hr-SPH and report better accuracy for DC-PSE. In order to validate DC-PSE Brinkman penalization, we study flow past obstacles, such as a cylinder, and report excellent agreement with previous studies.R-AGR-3952 - C20/MS/14610324-PorSol (01/02/2021 - 31/01/2024) - OBEIDAT Ana

Development of the Distributed Points Method with Application to Cavitating Flow

A mesh-less method for solving incompressible, multi-phase flow problems has been developed and is discussed along with the presentation of benchmark results showing good agreement with theoretical and experimental results. Results of a systematic, parametric study of the single phase flow around a 2D circular cylinder at Reynolds numbers up to 1000 are presented and discussed. Simulation results show good agreement with experimental results. Extension of the method to deal with multiphase flow including liquid-to-vapor phase transition along with applications to cavitating flow are discussed. Insight gleaned from numerical experiments of the cavity closure problem are discussed along with recommendations for additional research. Several conclusions regarding the use of the method are made

Development of the Distributed Points Method with Application to Cavitating Flow

A mesh-less method for solving incompressible, multi-phase flow problems has been developed and is discussed along with the presentation of benchmark results showing good agreement with theoretical and experimental results. Results of a systematic, parametric study of the single phase flow around a 2D circular cylinder at Reynolds numbers up to 1000 are presented and discussed. Simulation results show good agreement with experimental results. Extension of the method to deal with multiphase flow including liquid-to-vapor phase transition along with applications to cavitating flow are discussed. Insight gleaned from numerical experiments of the cavity closure problem are discussed along with recommendations for additional research. Several conclusions regarding the use of the method are made

Enhanced SPH modeling of free-surface flows with large deformations

The subject of the present thesis is the development of a numerical solver to study the violent interaction of marine flows with rigid structures. Among the many numerical models available, the Smoothed Particle Hydrodynamics (SPH) has been chosen as it proved appropriate in dealing with violent free-surface flows. Due to its Lagrangian and meshless character it can naturally handle breaking waves and fragmentation that generally are not easily treated by standard methods. On the other hand, some consolidated features of mesh-based methods, such as the solid boundary treatment, still remain unsolved issues in the SPH context. In the present work a great part of the research activity has been devoted to tackle some of the bottlenecks of the method. Firstly, an enhanced SPH model, called delta-SPH, has been proposed. In this model, a proper numerical diffusive term has been added in the continuity equation in order to remove the spurious numerical noise in the pressure field which typically affects the weakly-compressible SPH models. Then, particular attention has been paid to the development of suitable techniques for the enforcement of the boundary conditions. As for the free-surface, a specific algorithm has been designed to detect free-surface particles and to define a related level-set function with two main targets: to allow the imposition of peculiar conditions on the free-surface and to analyse and visualize more easily the simulation outcome (especially in 3D cases). Concerning the solid boundary treatment, much effort has been spent to devise new techniques for handling generic body geometries with an adequate accuracy in both 2D and 3D problems. Two different techniques have been described: in the first one the standard ghost fluid method has been extended in order to treat complex solid geometries. Both free-slip and no-slip boundary conditions have been implemented, the latter being a quite complex matter in the SPH context. The proposed boundary treatment proved to be robust and accurate in evaluating local and global loads, though it is not easy to extend to generic 3D surfaces. The second technique has been adopted for these cases. Such a technique has been developed in the context of Riemann-SPH methods and in the present work is reformulated in the context of the standard SPH scheme. The method proved to be robust in treating complex 3D solid surfaces though less accurate than the former. Finally, an algorithm to correctly initialize the SPH simulation in the case of generic geometries has been described. It forces a resettlement of the fluid particles to achieve a regular and uniform spacing even in complex configurations. This pre-processing procedure avoids the generation of spurious currents due to local defects in the particle distribution at the beginning of the simulation. The delta-SPH model has been validated against several problems concerning fluid-structure interactions. Firstly, the capability of the solver in dealing with water impacts has been tested by simulating a jet impinging on a flat plate and a dam-break flow against a vertical wall. In this cases, the accuracy in the prediction of local loads and of the pressure field have been the main focus. Then, the viscous flow around a cylinder, in both steady and unsteady conditions, has been simulated comparing the results with reference solutions. Finally, the generation and propagation of 2D gravity waves has been simulated. Several regimes of propagation have been tested and the results compared against a potential flow solver. The developed numerical solver has been applied to several cases of free-surface flows striking rigid structures and to the problem of the generation and evolution of ship generated waves. In the former case, the robustness of the solver has been challenged by simulating 2D and 3D water impacts against complex solid surfaces. The numerical outcome have been compared with analytical solutions, experimental data and other numerical results and the limits of the model have been discussed. As for the ship generated waves, the problem has been firstly studied within the 2D+t approximation, focusing on the occurrence and features of the breaking bow waves. Then, a dedicated 3D SPH parallel solver has been developed to tackle the simulation of the entire ship in constant forward motion. This simulation is quite demanding in terms of complexities of the boundary geometry and computational resources required. The wave pattern obtained has been compared against experimental data and results from other numerical methods, showing in both the cases a fair and promising agreement

Development and validation of hybrid grid-based and grid-free computational VπLES method

A novel hybrid grid-based and grid-free computational method which is called VπLES is proposed and validated over several benchmark cases. VπLES splits the flow structures into large scale ones, resolved on the grid (Eulerian approach), and small scale ones, represented by vortex particles (Lagrangian approach). Two transport equations for grid and particle solution are derived which are dynamically coupled through the existence of coupling terms in each of them. The method resembles LES with an effort to directly reproduce the subgrid motion at least in the statistical sense

Conception et mise en oeuvre de méthodes vortex hybrides-frontières immergées pour des milieux solides-fluides-poreux. Application au contrôle passif d'écoulements.

In this work we use a hybrid vortex penalization method (HVP) to simulate incompressibleflows past bluff bodies in complex solid-fluid-porous media. In this hybrid particle approach,the advection phenomenon is modeled through a vortex method in order to benefit from thenatural description of the flow supplied by particle methods and their low numerical diffusionfeatures. A particle remeshing is performed systematically on an underlying Cartesian grid inorder to prevent distortion phenomena. On the other hand, the viscous and stretching effects aswell as the velocity calculation are discretized on the mesh through Eulerian schemes. Finally,the treatment of boundary conditions is handled with a penalization method that is well suitedfor the treatment of solid-fluid-porous media.The HVP method is applied to passive flow control. This flow control study is realized pasta 2D semi-circular cylinder and a 3D hemisphere by adding a porous layer on the surface of thebody. The presence of such porous layer modifies the characteristics of the conditions at theinterfaces and leads to a regularization of the wake and to a decrease of the aerodynamic dragof the controlled obstacle. Through parametric studies on the permeability, the thickness andthe position of the porous coating, this works aims to identify efficient control devices for flowsaround obstacles like the rear-view mirrors of a ground vehicle.Dans cette thèse nous mettons en oeuvre une méthode vortex hybride pénalisée (HVP) afin desimuler des écoulements incompressibles autour de corps non profilés dans des milieux complexessolides-fluides-poreux. Avec cette approche particulaire hybride, le phénomène de convection estmodélisé à l’aide d’une méthode vortex afin de bénéficier du caractère peu diffusif et naturel desméthodes particulaires. Un remaillage des particules est alors réalisé systématiquement sur unegrille cartésienne sous-jacente afin d’éviter les phénomènes de distorsion. D’autre part, les effetsdiffusifs et d’étirement ainsi que le calcul de la vitesse sont traités sur la grille cartésienne, àl’aide de schémas eulériens. Le traitement des conditions de bords aux parois de l’obstacle esteffectué à l’aide d’une technique de pénalisation, particulièrement bien adaptée au traitementde milieux solides-fluides-poreux.Cette méthode HVP est appliquée au contrôle passif d’écoulement. Cette étude de contrôleest effectuée respectivement en 2D et en 3D autour d’un demi-cylindre et d’un hémisphère parl’ajout d’un revêtement poreux à la surface de l’obstacle. La présence de cette couche poreusemodifiant la nature des conditions aux interfaces, permet de régulariser l’écoulement global etde diminuer la traînée aérodynamique de l’obstacle contrôlé. A travers des études paramétriquessur la perméabilité, l’épaisseur et la position du revêtement poreux, ce travail vise à identifier desdispositifs de contrôles efficaces pour des écoulements autour d’obstacles comme des rétroviseursautomobiles