An immersed boundary method for smoothed particle hydrodynamics of self-propelled swimmers

Hieber, Simone; Koumoutsakos, Petros

doi:10.1016/j.jcp.2008.06.017

Cited by 61 publications

(57 citation statements)

References 49 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Therefore solid boundary treatment in SPH is more difficult and numerical techniques for implementing solid wall boundary conditions are also more diversified. Since the invention of the SPH method, a lot of works have been published addressing the treatments of solid wall boundary conditions [94,97,[104][105][106][107][108][109][110][111]. The boundary particles suffer from particle insufficiency, and no contribution comes from outside since there are no particles beyond the boundary As discussed in Sect.…”

Section: Solid Boundary Treatmentmentioning

confidence: 99%

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

Liu

2010

Arch Computat Methods Eng

1,530

682

View full text Add to dashboard Cite

Smoothed particle hydrodynamics (SPH) is a meshfree particle method based on Lagrangian formulation, and has been widely applied to different areas in engineering and science. This paper presents an overview on the SPH method and its recent developments, including (1) the need for meshfree particle methods, and advantages of SPH, (2) approximation schemes of the conventional SPH method and numerical techniques for deriving SPH formulations for partial differential equations such as the Navier-Stokes (N-S) equations, (3) the role of the smoothing kernel functions and a general approach to construct smoothing kernel functions, (4) kernel and particle consistency for the SPH method, and approaches for restoring particle consistency, (5) several important numerical aspects, and (6) some recent applications of SPH. The paper ends with some concluding remarks.

show abstract

Section: Solid Boundary Treatmentmentioning

confidence: 99%

Smoothed Particle Hydrodynamics (SPH): an Overview and Recent Developments

Liu

2010

Arch Computat Methods Eng

1,530

682

View full text Add to dashboard Cite

show abstract

“…However, researches are also being in process towards the combination of IB method with other numerical methods, e.g. the finite element method [22], Lattice Boltzmann Methods (LBM) [23] and Smoothed Particle Hydrodynamics (SPH) [24]. IB methods on more complicated grid systems can also been found in the literatures, such as the semi-structured grid with local mesh refinement [25], curvilinear grid [26,27] and even unstructured grid [28,29].…”

Section: Introductionmentioning

confidence: 99%

“…The initial velocity condition at t = 0 and the velocities at the boundaries of the computational domain (jxj = 1.5; jyj = 1.5) in time are provided from the exact solution, although only the solution inside the rotated square is of concern. The computations are performed on six uniform quadrilateral meshes with different number of partitions on each side of the computational domain, i.e 24,48,. 96, 192, 384, and 768.…”

mentioning

confidence: 99%

An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows

Wang

Zhang

2011

Journal of Computational Physics

107

View full text Add to dashboard Cite

a b s t r a c tAn immersed boundary method is proposed in the framework of discrete stream function formulation for incompressible flows. In order to impose the non-slip boundary condition, the forcing term is determined implicitly by solving a linear system. The number of unknowns of the linear system is the same as that of the Lagrangian points representing the body surface. Thus the extra cost in force calculation is negligible if compared with that in the basic flow solver. In order to handle three-dimensional flows at moderate Reynolds numbers, a parallelized flow solver based on the present method is developed using the domain decomposition strategy. To verify the accuracy of the immersed-boundary method proposed in this work, flow problems of different complexity (decaying vortices, flows over stationary and oscillating cylinders and a stationary sphere, and flow over low-aspect-ratio flat-plate) are simulated and the results are in good agreement with the experimental or computational data in previously published literatures.

show abstract

“…In some cases modifications are needed to cope with a free surface accurately [10] but, in general, one of the significant advantages of most SPH (formulations (e.g., the one we use in this study) is that free surface flows can be simulated without changes to the algorithm used in the interior of the fluid. There are different SPH models for solid boundaries ( [1,10,24,7,26,12]), and there have been detailed analytical studies of some boundary conditions ( [15]) but there is no universal model that gives accurate results for all free-slip, no-slip, partial slip and free surface boundary conditions. Some methods are based on computing surface integrals when the flow quantities are computed close to the solid wall.…”

Section: Introductionmentioning

confidence: 99%