Optimization of time-dependent particle tracing using tetrahedral decomposition

Kenwright, David; Lane, David A.

doi:10.1109/visual.1995.485145

Cited by 20 publications

(15 citation statements)

References 11 publications

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“…The point-locating scheme that is developed in this research is based on the tetrahedral walk method as described by Löhner et al (12), Kenwright et al (11) and Sadarjoen et al (13). This method uses the tetrahedral decomposition method that decomposes the different generic elements used in CFD grids (tetrahedra, pyramids, prisms and hexahedra) into tetrahedra.…”

Section: Point-locating Schemementioning

confidence: 99%

“…For example, in Fig.1, a particle's path intersecting a tetrahedron is shown. The particle is located outside the tetrahedron 1 The article of Kenwright et al (11) seems to contain a misprint in the calculation of and in this case two of the conditions given above are violated (η 1 < 0 and η 2 < 0). This means that the particle is located behind face ACD and to the left of face ABD.…”

Section: Point-locating Schemementioning

confidence: 99%

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An efficient and robust method for Lagrangian magnetic particle tracking in fluid flow simulations on unstructured grids

2011

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In this paper we report on a newly developed particle tracking scheme for fluid flow simulations on 3D unstructured grids, aiming to provide detailed insights in the particle behaviour in complex geometries. A possible field of applications is the Magnetic Drug Targeting (MDT) technique, on which this paper will be focused. MDT is a promising medical technique that uses locally applied magnetic fields to capture magnetic drug carriers at the desired locations in the human body, strongly increasing the efficiency of medical drugs. The new particle tracking scheme combines the advantages of existing methods and is easy for implementation in a generic numerical code.The scheme is tested and validated for simple MDT cases that include effects of a non-homogeneous magnetic field on deposition of magnetic particles in laminar flow. The first test case is a validation study of the magnetic particle trajectories released in a horizontal circular pipe flow with a current- * Corresponding author Email address: S.Kenjeres@tudelft.nl (S. Kenjereš) Preprint submitted to Computers & Fluids September 1, 2010carrying wire parallel to the flow, for which analytical solutions are reported in literature. The second test case involves particle capture efficiencies in a 90 o bent tube for different configurations of the imposed magnetic field.This configuration corresponds more closely to the conditions inside blood vessels, because of the presence of secondary motions. These results are compared with numerical studies from literature too. The obtained results demonstrate that the developed particle tracking scheme is a very robust, efficient and accurate method, which can give detailed insights in particle behaviour in complex geometries. As such it is a good candidate for future applications and optimisations of MDT technique for loco-regional cancer treatment or treatment of cardiovascular diseases.

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Section: Point-locating Schemementioning

confidence: 99%

Section: Point-locating Schemementioning

confidence: 99%

An efficient and robust method for Lagrangian magnetic particle tracking in fluid flow simulations on unstructured grids

2011

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“…For unsteady (time-varying) flow integration, the vector field is determined at arbitrary temporal points by linearly interpolating the field between its spatially interpolated values at the nearest available time values. An adaptive integration algorithm (similar to the algorithm used by Kenwright and Lane [29]) is utilized to enable the integration to proceed rapidly in regions where the vector field is nearly constant, but to achieve high accuracy when the vector field rapidly changes direction from one cell to the next. The integration is performed by successively selecting points along a curve determined by field magnitude and direction at the most recent sample point.…”

Section: Vector Field Visualization In Vapormentioning

confidence: 99%

Flow visualization and field line advection in computational fluid dynamics: application to magnetic fields and turbulent flows

et al. 2008

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“…However, PSP may incur inaccuracies related to gather-scatter operations (i.e., interpolation to and from the grid), such as spurious compressibility effects and violation of charge and current density conservation [16,18,17]. Furthermore, PSP typically requires expensive particle location-tracking techniques [23,21] to "relocate" particles in logical cells after each particle push in physical space (although algorithms have been proposed that significantly speed up the particle localization step using a tetrahedral decomposition of hexahedral cells [24]). Logical-space-pushing (LSP) [7,20,25] avoids location-tracking and gather-scatter errors, but may incur in particle orbit errors due to discrete map information and the need to account for fictitious inertial forces [25] due to changes in geometry.…”

Section: Introductionmentioning

confidence: 99%

A curvilinear, fully implicit, conservative electromagnetic PIC algorithm in multiple dimensions

Chacòn

Chen

2016

Journal of Computational Physics

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We extend a recently proposed fully implicit PIC algorithm for the Vlasov-Darwin model in multiple dimensions (Chen and Chacón (2015) [1]) to curvilinear geometry. As in the Cartesian case, the approach is based on a potential formulation (φ, A), and overcomes many difficulties of traditional semi-implicit Darwin PIC algorithms. Conservation theorems for local charge and global energy are derived in curvilinear representation, and then enforced discretely by a careful choice of the discretization of field and particle equations. Additionally, the algorithm conserves canonical-momentum in any ignorable direction, and preserves the Coulomb gauge ∇ · A = 0 exactly. An asymptotically well-posed fluid preconditioner allows efficient use of large cell sizes, which are determined by accuracy considerations, not stability, and can be orders of magnitude larger than required in a standard explicit electromagnetic PIC simulation. We demonstrate the accuracy and efficiency properties of the algorithm with numerical experiments in mapped meshes in 1D-3V and 2D-3V.

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Optimization of time-dependent particle tracing using tetrahedral decomposition

Cited by 20 publications

References 11 publications

An efficient and robust method for Lagrangian magnetic particle tracking in fluid flow simulations on unstructured grids

An efficient and robust method for Lagrangian magnetic particle tracking in fluid flow simulations on unstructured grids

Flow visualization and field line advection in computational fluid dynamics: application to magnetic fields and turbulent flows

A curvilinear, fully implicit, conservative electromagnetic PIC algorithm in multiple dimensions

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