An ALE Based Hybrid Meshfree Local RBF-Cartesian FD scheme for Incompressible flow around moving boundaries

Javed, Ali; Djidjeli, K.; Xing, Jing Tang

doi:10.2514/6.2014-2312

Cited by 8 publications

(11 citation statements)

References 30 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A static Cartesian mesh is generated in the far field which surrounds and partially overlaps the meshfree nodes. A detailed discussion on treatment of meshfree and Cartesian nodes, activation / deactivation process and data transfer between the nodal zones can be envisioned in the research of Javed et al (2014) and Javed et al (2016).…”

Section: Hybrid Fluid Gridmentioning

confidence: 99%

“…In the mesh-free zone, the space derivatives are treated with lo-cal RBFs in finite difference mode (RBF-FD). De-tailed solution strategy and time marching scheme in the meshfree and Cartesian zone is discussed in the work of Javed et al (2014) and Javed et al(2016).…”

Section: Flow Equationsmentioning

confidence: 99%

“…Numerical simulations are carried out on the hybrid fluid mesh using a coupled mesh based and meshfree solution scheme as suggested by Javed et al(2014). The meshfree nodal cloud eliminates the need of re-meshing as it moves and adapts with the moving solid boundary.…”

Section: Introductionmentioning

confidence: 99%

“…2. The Hybrid scheme based on meshfree RBF and Cartesian finite difference methods was presented by Javed et al (2013), Javed et al (2014) and Javed et al (2016). The method benefits from the advantages of both meshfree and mesh based method.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Low Reynolds Number Effect on Energy Extraction Performance of Semi-Passive Flapping Foil

Javed

Djidjeli

Xing

2018

JAFM

View full text Add to dashboard Cite

In this paper, 2-D numerical solution scheme is used to study the performance of semi-passive flapping foil flow energy harvester at Reynolds numbers ranging from 5000 to 50,000. The energy harvester comprises of NACA0015 airfoil which is supported on a translational spring and damper. An external sinosoidal pitch excitation is provided to the airfoil. Energy is extracted from the flow induced vibration of airfoil in translational mode. Movement of airfoil is accommodated in fluid domain by using a hybrid meshfree-Cartesian fluid grid. A body conformal meshfree nodal cloud forms the near field domain, encompassing the airfoil. During the simulation, the solid boundary causes the motion of the meshfree nodal cloud, without necessitating re-meshing. In the far field, the static Cartesian grid encloses and partly overlaps the meshfree nodal cloud. A coupled mesh based and meshfree solution scheme is utilized to solve laminar flow, viscous, incompressible equations, in Arbitrary-Lagrangian-Eulerian (ALE) formulation, over a hybrid grid. Spatial discretization of flow equations is carried out using radial basis function in finite difference mode (RBF-FD) over meshfree nodes and conventional finite differencing over Cartesian grid. Stabilized flow momentum equations are used to avoid spurious fluctuations at high Reynolds numbers. A closely coupled, partitioned, sub iteration method is used for fluid structure interaction. The study is focused to analyse the behaviour of flow energy harvesters at various Reynolds numbers. Effects of changing the translational spring stiffness and pitch activation frequency are also investigated. Instantaneous flow structures around the airfoil have been compared at different Reynolds numbers and pitch amplitudes. It is found that net power extracted by the system increases at high Reynolds numbers. Moreover, re-attachment of leading edge separation vortex plays an important role in ther overall system performance.

show abstract

Section: Hybrid Fluid Gridmentioning

confidence: 99%

Section: Flow Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Low Reynolds Number Effect on Energy Extraction Performance of Semi-Passive Flapping Foil

Javed

Djidjeli

Xing

2018

JAFM

View full text Add to dashboard Cite

show abstract

“…The boundary conditions can therefore, directly be applied 28 to the grid points and motion of the solid is explicitly tracked by the movement of grid points. On the 29 contrary, non-boundary fitted methods employ a background mesh with solid boundary embedded on 30 it. The background mesh can either be standard Cartesian, as used by [9] and [13] for inviscid flows, or 31 unstructured grid, such as those used by [26,57] and [44] in the so-called immersed boundary methods.…”

mentioning

confidence: 99%

A coupled meshfree-mesh-based solution scheme on hybrid grid for flow-induced vibrations

2016

View full text Add to dashboard Cite

Abstract:In this paper, a coupled meshfree-mesh based fluid solver is employed for flow induced vibration problems. Fluid domain comprises of a hybrid grid which is formed by generating a body conformal meshfree nodal cloud around the solid object and a static Cartesian grid which surrounds the meshfree cloud in the far field. The meshfree nodal cloud provides flexibility in dealing with solid motion by moving and morphing along with the solid boundary without necessitating re-meshing, and the Cartesian grid, on the other hand, provides improved performance by allowing the use of computationally efficient mesh based method. Flow equations, in Arbitrary Lagrangian-Eulerian (ALE) formulation, are solved by local Radial Basis Function in Finite Difference mode (RBF-FD) on moving meshfree nodes. Conventional finite differencing is used over static Cartesian grid for flow equations in Eulerian formulation. The equations for solid motion are solved using classical Runge Kutta method. Closed coupling is introduced between fluid and structural solvers by using a sub-iterative prediction-correction algorithm. In order to reduce computational overhead due to sub-iterations, only near field flow (in meshfree zone) is solved during inner iterations, and the full fluid domain is solved during outer (time step) iterations only when the convergence at solid-fluid interface has already been reached. In meshfree zone, adaptive sizing of influence domain has been introduced to maintain suitable number of neighbouring particles. The use of hybrid grid has been found to be useful in improving the computational performance by faster computing over Cartesian grid as well as by reducing the number of computations in the fluid domain during fluid-solid coupling. The solution scheme was tested for problems relating to flow induced cylindrical and airfoil vibration with one and two degrees of freedom. The results are found to be in good agreement with previous work and experimental results. Powered by Editorial Manager® and ProduXion Manager® from Aries Systems CorporationThe Reference: Your email on 04 January, 2016We gratefully acknowledge the feedback about the manuscript. The comments from anonymous reviewers are found to be quite useful. Necessary amendments have been incorporated in the manuscript to account for the remarks by the reviewers. The comments from the reviewers are reproduced below, accompanied with point-by-point responses illustrating how the manuscript has been changed based on the reviews comments rovided therein.It is believed that the attached submission fulfils the journal requirements you will consider it ready for publication in Acta Mechanica. The pressure problem is set up separately in each domain (meshfree and Cartesian zones). In each time step, de-coupled momentum equations and pressure poison equation (Eqs. (5) to (7)) are first solved in meshfree zone. The governing equations are then solved in Cartesian zone. During solution of Eqs. (5) to (7) on Cartesian zone, the values of pressure and velocity at C...

show abstract

A modified multilevel meshfree algorithm for steady convection‐diffusion problems

Barik

Tatavarthi

2021

Numerical Methods in Fluids

View full text Add to dashboard Cite

In this work, a modified multilevel augmented local radial basis function (RBF-FD) meshfree algorithm is developed. The primary goal is the level-by-level calculation and then level-by-level correction from coarsest level to finest level node points. Numerical experiments are presented to verify the accuracy and efficiency of our developed algorithms with 2D convection-diffusion problem and coupled nonlinear equations. Numerical results are presented through the figures and tables to demonstrate accuracy, efficiency, and convergence of the method. The developed scheme saves 56% of the CPU time for the 2D convection-diffusion problem and at least 86% of the CPU time for coupled nonlinear equations than the usual local RBF method available in the literature. The iteration matrix of the modified multilevel RBF-FD method satisfies the necessary and sufficient condition for convergence.

show abstract

An ALE Based Hybrid Meshfree Local RBF-Cartesian FD scheme for Incompressible flow around moving boundaries

Cited by 8 publications

References 30 publications

Low Reynolds Number Effect on Energy Extraction Performance of Semi-Passive Flapping Foil

Low Reynolds Number Effect on Energy Extraction Performance of Semi-Passive Flapping Foil

A coupled meshfree-mesh-based solution scheme on hybrid grid for flow-induced vibrations

A modified multilevel meshfree algorithm for steady convection‐diffusion problems

Contact Info

Product

Resources

About