Numerical simulation of dilute particle laden flows by wavelet BEM–FEM

Ravnik, Jure; Škerget, L.; Hriberšek, Matjaž; Žunič, Zoran

doi:10.1016/j.cma.2007.09.007

Cited by 23 publications

(9 citation statements)

References 34 publications

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“…As can be observed, two recirculation zones are formed downstream of the step; one located within the distance 0.0 < x 1 < 5.0 at the bottom of the channel, and the other within 4.5 < x 1 < 10.0 at the top. This result is in good agreement with the higher-order FD numerical solution presented by Erturk [30], where the downstream stagnation point of the bottom recirculation zone is estimated to be located at x 1 = 5.992, and the top recirculation zone is located within 4.823 < x 1 < 9.996, as well as with the boundary element solution reported by Ravnik et al [31].…”

Section: Backward Facing Stepsupporting

confidence: 91%

Schwarz alternating domain decomposition approach for the solution of two‐dimensional Navier–Stokes flow problems by the method of approximate particular solutions

Bustamante

Power

Florez

2014

Numerical Methods Partial

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The method of approximate particular solutions (MAPS) is used to solve the two-dimensional Navier-Stokes equations. This method uses particular solutions of a nonhomogeneous Stokes problem, with the multiquadric radial basis function as a nonhomogeneous term, to approximate the velocity and pressure fields. The continuity equation is not explicitly imposed since the used particular solutions are mass conservative. To improve the computational efficiency of the global MAPS, the domain is split into overlapped subdomains where the Schwarz Alternating Algorithm is employed using velocity or traction values from neighboring subdomains as boundary conditions. When imposing only velocity boundary conditions, an extra step is required to find a reference value for the pressure at each subdomain to guarantee continuity of pressure across subdomains. The Stokes lid-driven cavity flow problem is solved to assess the performance of the Schwarz algorithm in comparison to a finite-difference-type localized MAPS. The Kovasznay flow problem is used to validate the proposed numerical scheme. Despite the use of relative coarse nodal distributions, numerical results show excellent agreement with respect to results reported in literature when solving the lid-driven cavity (up to Re = 10,000) and the backward facing step (at Re = 800) problems.

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Section: Backward Facing Stepsupporting

confidence: 91%

Schwarz alternating domain decomposition approach for the solution of two‐dimensional Navier–Stokes flow problems by the method of approximate particular solutions

Bustamante

Power

Florez

2014

Numerical Methods Partial

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“…In order to calculate the acceleration contributions on the right hand side, the velocity of the fluid, u  , has to be calculated at the location of the particle. The solution algorithm described in detail in Ravnik et al [7] is used.…”

Section: Lagrangian Particle Trackingmentioning

confidence: 99%

“…Efficient algorithms for Lagrangian particle tracking in fluid flow are an ongoing research topic (Cohen Stuart et al [5]) simulating particles in laminar and turbulent flows (Marchioli et al [6]). In our work, as a starting point, the earlier work by Ravnik et al [7] was chosen, where a BEM-FEM algorithm for a 2D flow simulation was coupled with an explicit Lagrangian particle tracking algorithm. The algorithm was extended to a 3D geometry in Ravnik et al [8].…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Particle Movement in Cellular Flows under the Influence of Magnetic Forces

Ravnik¹,

Hriberšek²,

Vogel³

et al. 2014

Int. j. simul. model.

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A numerical model of particle motion in fluid flow under the influence of hydrodynamic and magnetic forces is presented. The Lagrangian particle tracking algorithm was developed being capable of simulating dilute suspensions of particles in viscous flows where gravity, buoyancy, drag, pressure gradient, added mass and magnetophoretic forces are taken into account. The method is used to study the behaviour of magnetite particles in a periodic cellular flow field under the influence of a magnetic field produced by electric wires placed in cell centres. For such a flow field it is known that particles in steady state merge into individual trajectories. The influence of the magnetic field on the particle trajectories is examined and an exponential model for the time evolution of the fraction of adhered particles to the electric wires is proposed. Three particle Stokes number values are considered: 0.01, 0.1 and 1. The existence of a critical magnetic pressure coefficient was found, at which all particles end up to be adhered to the wires. The critical magnetic pressure coefficient was found to be proportional to the Stokes number. For sub-critical magnetic pressure coefficient, the particle trajectories are significantly altered by the magnetic field, both in their shape and in their number. Furthermore, in the sub-critical regime, the minimal distance of particles to the cell centres is larger for particles with smaller Stokes numbers.

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“…Ž unič et al [21] proposed a combined BEM-finite element method (FEM) algorithm, replacing subdomain BEM by FEM. The algorithm was used to simulate particle laden flows by Ravnik et al [22]. Other BEM domain decomposition techniques are described in Popov et al [23].…”

Section: Introductionmentioning

confidence: 99%

BEM simulation of compressible fluid flow in an enclosure induced by thermoacoustic waves

Škerget¹,

Ravnik²

2009

Engineering Analysis with Boundary Elements

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Numerical simulation of dilute particle laden flows by wavelet BEM–FEM

Cited by 23 publications

References 34 publications

Schwarz alternating domain decomposition approach for the solution of two‐dimensional Navier–Stokes flow problems by the method of approximate particular solutions

Schwarz alternating domain decomposition approach for the solution of two‐dimensional Navier–Stokes flow problems by the method of approximate particular solutions

Numerical Simulation of Particle Movement in Cellular Flows under the Influence of Magnetic Forces

BEM simulation of compressible fluid flow in an enclosure induced by thermoacoustic waves

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