A fast moving least squares approximation with adaptive Lagrangian mesh refinement for large scale immersed boundary simulations

Vamsi Spandan, Detlef Lohse, Marco D. de Tullio, Roberto Verzicco

Research output: Contribution to journalArticleAcademicpeer-review

1 Citation (Scopus)
21 Downloads (Pure)

Abstract

In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows. First, we introduce a fast moving least squares (fast-MLS) approximation technique with which we speed up the process of building transfer functions during the simulations which leads to considerable reductions in computational time. We compare the accuracy of the fast-MLS against the exact moving least squares (MLS) for the standard problem of uniform flow over a sphere. In order to overcome the restrictions set by the resolution coupling of the Lagrangian and Eulerian meshes in this particular immersed boundary method, we present an adaptive Lagrangian mesh refinement procedure that is capable of drastically reducing the number of required nodes of the basic Lagrangian mesh when the immersed boundaries can move and deform. Finally, a coarse-grained collision detection algorithm is presented which can detect collision events between several Lagrangian markers residing on separate complex geometries with minimal computational overhead.

Original languageEnglish
Pages (from-to)228-239
Number of pages12
JournalJournal of computational physics
Volume375
Early online date28 Aug 2018
DOIs
Publication statusPublished - 15 Dec 2018

Fingerprint

Immersed Boundary
Least squares approximations
Moving Least-squares Approximation
Mesh Refinement
Moving Least Squares
approximation
Turbulent flow
Transfer functions
mesh
Simulation
simulation
Mesh
Immersed Boundary Method
uniform flow
Collision Detection
collisions
Geometry
Complex Geometry
Turbulent Flow
transfer functions

Keywords

  • Immersed boundary method
  • Moving least squares
  • Multiphase flows

Cite this

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abstract = "In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows. First, we introduce a fast moving least squares (fast-MLS) approximation technique with which we speed up the process of building transfer functions during the simulations which leads to considerable reductions in computational time. We compare the accuracy of the fast-MLS against the exact moving least squares (MLS) for the standard problem of uniform flow over a sphere. In order to overcome the restrictions set by the resolution coupling of the Lagrangian and Eulerian meshes in this particular immersed boundary method, we present an adaptive Lagrangian mesh refinement procedure that is capable of drastically reducing the number of required nodes of the basic Lagrangian mesh when the immersed boundaries can move and deform. Finally, a coarse-grained collision detection algorithm is presented which can detect collision events between several Lagrangian markers residing on separate complex geometries with minimal computational overhead.",
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A fast moving least squares approximation with adaptive Lagrangian mesh refinement for large scale immersed boundary simulations. / Spandan, Vamsi; Lohse, Detlef; de Tullio, Marco D.; Verzicco, Roberto.

In: Journal of computational physics, Vol. 375, 15.12.2018, p. 228-239.

Research output: Contribution to journalArticleAcademicpeer-review

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T1 - A fast moving least squares approximation with adaptive Lagrangian mesh refinement for large scale immersed boundary simulations

AU - Spandan, Vamsi

AU - Lohse, Detlef

AU - de Tullio, Marco D.

AU - Verzicco, Roberto

PY - 2018/12/15

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N2 - In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows. First, we introduce a fast moving least squares (fast-MLS) approximation technique with which we speed up the process of building transfer functions during the simulations which leads to considerable reductions in computational time. We compare the accuracy of the fast-MLS against the exact moving least squares (MLS) for the standard problem of uniform flow over a sphere. In order to overcome the restrictions set by the resolution coupling of the Lagrangian and Eulerian meshes in this particular immersed boundary method, we present an adaptive Lagrangian mesh refinement procedure that is capable of drastically reducing the number of required nodes of the basic Lagrangian mesh when the immersed boundaries can move and deform. Finally, a coarse-grained collision detection algorithm is presented which can detect collision events between several Lagrangian markers residing on separate complex geometries with minimal computational overhead.

AB - In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows. First, we introduce a fast moving least squares (fast-MLS) approximation technique with which we speed up the process of building transfer functions during the simulations which leads to considerable reductions in computational time. We compare the accuracy of the fast-MLS against the exact moving least squares (MLS) for the standard problem of uniform flow over a sphere. In order to overcome the restrictions set by the resolution coupling of the Lagrangian and Eulerian meshes in this particular immersed boundary method, we present an adaptive Lagrangian mesh refinement procedure that is capable of drastically reducing the number of required nodes of the basic Lagrangian mesh when the immersed boundaries can move and deform. Finally, a coarse-grained collision detection algorithm is presented which can detect collision events between several Lagrangian markers residing on separate complex geometries with minimal computational overhead.

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