Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows

In this paper, we investigate the numerical simulation of particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [S. Turek, D.C. Wan, L.S. Rivkind, The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with a...

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Published in:	Journal of computational physics Vol. 222; no. 1; pp. 28 - 56
Main Authors:	Wan, Decheng, Turek, Stefan
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Inc 01.03.2007 Elsevier
Subjects:	ALE Boundaries Computation Computational fluid dynamics Computational techniques Computer simulation Exact sciences and technology FEM Fictitious boundary Finite element method Fluid flow Mathematical methods in physics Mathematical models Moving mesh Multigrid Particulate flows Physics Wide area networks Moving mesh ALE Fictitious boundary Particulate flows Multigrid FEM Partial differential equations Tensor product Digital simulation Boundary conditions Moving boundary method Calculation methods Incompressible flow Operator splitting Dirichlet problem Calculation Linear differential equations Mesh method
ISSN:	0021-9991, 1090-2716
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Abstract	In this paper, we investigate the numerical simulation of particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [S. Turek, D.C. Wan, L.S. Rivkind, The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations. Challenges in Scientific Computing, Lecture Notes in Computational Science and Engineering, vol. 35, Springer, Berlin, 2003, pp. 37–68; D.C. Wan, S. Turek, L.S. Rivkind, An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies. Numerical Mathematics and Advanced Applications, ENUMATH 2003, Springer, Berlin, 2004, pp. 844–853; D.C. Wan, S. Turek, Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method, Int. J. Numer. Method Fluids 51 (2006) 531–566]. With this approach, the mesh is dynamically relocated through a (linear) partial differential equation to capture the surface of the moving particles with a relatively small number of grid points. The complete system is realized by solving the mesh movement and the partial differential equations of the flow problem alternately via an operator-splitting approach. The flow is computed by a special ALE formulation with a multigrid finite element solver, and the solid particles are allowed to move freely through the computational mesh which is adaptively aligned by the moving mesh method in every time step. One important aspect is that the data structure of the undeformed initial mesh, in many cases a tensor-product mesh or a semi-structured grid consisting of many tensor-product meshes, is preserved, while only the spacing between the grid points is adapted in each time step so that the high efficiency of structured meshes can be exploited. Numerical results demonstrate that the interaction between the fluid and the particles can be accurately and efficiently handled by the presented method. It is also shown that the presented method significantly improves the accuracy of the previous multigrid FBM to simulate particulate flows with many moving rigid particles.
AbstractList	In this paper, we investigate the numerical simulation of particulate flows using a new moving mesh method combined with the multigrid fictitious boundary method (FBM) [S. Turek, D.C. Wan, L.S. Rivkind, The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations. Challenges in Scientific Computing, Lecture Notes in Computational Science and Engineering, vol. 35, Springer, Berlin, 2003, pp. 37-68; D.C. Wan, S. Turek, L.S. Rivkind, An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies. Numerical Mathematics and Advanced Applications, ENUMATH 2003, Springer, Berlin, 2004, pp. 844-853; D.C. Wan, S. Turek, Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method, Int. J. Numer. Method Fluids 51 (2006) 531-566]. With this approach, the mesh is dynamically relocated through a (linear) partial differential equation to capture the surface of the moving particles with a relatively small number of grid points. The complete system is realized by solving the mesh movement and the partial differential equations of the flow problem alternately via an operator-splitting approach. The flow is computed by a special ALE formulation with a multigrid finite element solver, and the solid particles are allowed to move freely through the computational mesh which is adaptively aligned by the moving mesh method in every time step. One important aspect is that the data structure of the undeformed initial mesh, in many cases a tensor-product mesh or a semi- structured grid consisting of many tensor-product meshes, is preserved, while only the spacing between the grid points is adapted in each time step so that the high efficiency of structured meshes can be exploited. Numerical results demonstrate that the interaction between the fluid and the particles can be accurately and efficiently handled by the presented method. It is also shown that the presented method significantly improves the accuracy of the previous multigrid FBM to simulate particulate flows with many moving rigid particles.
Author	Wan, Decheng Turek, Stefan
Author_xml	– sequence: 1 givenname: Decheng surname: Wan fullname: Wan, Decheng email: dcwan@sjtu.edu.cn organization: School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Huashan Road 1954, 200030 Shanghai, China – sequence: 2 givenname: Stefan surname: Turek fullname: Turek, Stefan organization: Institute of Applied Mathematics LS III, University of Dortmund, Vogelpothsweg 87, 44227 Dortmund, Germany
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Keywords	Moving mesh ALE Fictitious boundary Particulate flows Multigrid FEM Partial differential equations Tensor product Digital simulation Boundary conditions Moving boundary method Calculation methods Incompressible flow Operator splitting Dirichlet problem Calculation Linear differential equations Mesh method
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References	G.P. Galdi, V. Heuveline, Lift and sedimentation of particles on the flow of a viscoelastic liquid in a channel. Available from Huang (bib14) 2001; 171 Turek (bib24) 1996; 22 Turek (bib25) 1997; 143 Bochev, Liao, de la Pena (bib16) 1996; 12 S. Turek, FEATFLOW-finite element software for the incompressible Navier–Stokes equations: User Manual, Release 1.2, University of Dortmund, 1999. Dacorogna, Moser (bib21) 1990; 7 M. Schäfer, S. Turek, Benchmark computations of laminar flow around cylinder, in: E.H. Hirschel (Ed.), Flow Simulation with High-Performance Computers II. Notes on Numerical Fluid Mechanics, vol. 52, Vieweg, 1996, pp. 547–566. Diaz-Goano, Minev, Nandakumar (bib29) 2001; vol. 2179 Ceniceros, Hou (bib15) 2001; 172 Cai, Fleitas, Jiang, Liao (bib19) 2004; 48 Fortes, Joseph, Lundgren (bib27) 1987; 177 Wan, Turek (bib11) 2006; 51 D.C. Wan, S. Turek, An efficient multigrid-FEM method for the simulation of liquid–solid two phase flows, J. Comput. Appl. Math. (in press). Liu, Ji, Liao (bib18) 1998; 20 Wan, Turek, Rivkind (bib10) 2004 Liao, Semper (bib17) 1995; 11 M. Grajewski, M. Köster, S. Kilian, S. Turek, Numerical analysis and practical aspects of a robust and efficient grid deformation method in the finite element context. Ergebnisberichte des Instituts für Angewandte Mathematik, Nummer 294, FB Mathematik, Universität Dortmund, 2005. Available from Turek (bib22) 1999 Patankar, Singh, Joseph, Glowinski, Pan (bib6) 2000; 26 Berger, Collela (bib13) 1989; 82 Glowinski (bib8) 2003; vol. IX . Maury (bib4) 1999; 156 Turek, Wan, Rivkind (bib9) 2003; vol. 35 Glowinski, Pan, Hesla, Joseph (bib5) 1999; 25 Glowinski, Pan, Hesla, Joseph, Periaux (bib7) 2001; 169 Singh, Hesla, Joseph (bib28) 2003; 29 Hu, Patankar, Zhu (bib2) 2001; 169 Hu, Joseph, Crochet (bib1) 1992; 3 Glowinski (10.1016/j.jcp.2006.06.002_bib5) 1999; 25 Glowinski (10.1016/j.jcp.2006.06.002_bib7) 2001; 169 Turek (10.1016/j.jcp.2006.06.002_bib25) 1997; 143 Dacorogna (10.1016/j.jcp.2006.06.002_bib21) 1990; 7 Diaz-Goano (10.1016/j.jcp.2006.06.002_bib29) 2001; vol. 2179 Liao (10.1016/j.jcp.2006.06.002_bib17) 1995; 11 Turek (10.1016/j.jcp.2006.06.002_bib9) 2003; vol. 35 Ceniceros (10.1016/j.jcp.2006.06.002_bib15) 2001; 172 Wan (10.1016/j.jcp.2006.06.002_bib10) 2004 Turek (10.1016/j.jcp.2006.06.002_bib24) 1996; 22 Berger (10.1016/j.jcp.2006.06.002_bib13) 1989; 82 Maury (10.1016/j.jcp.2006.06.002_bib4) 1999; 156 Singh (10.1016/j.jcp.2006.06.002_bib28) 2003; 29 Glowinski (10.1016/j.jcp.2006.06.002_bib8) 2003; vol. IX Hu (10.1016/j.jcp.2006.06.002_bib1) 1992; 3 10.1016/j.jcp.2006.06.002_bib12 Fortes (10.1016/j.jcp.2006.06.002_bib27) 1987; 177 Patankar (10.1016/j.jcp.2006.06.002_bib6) 2000; 26 Wan (10.1016/j.jcp.2006.06.002_bib11) 2006; 51 Hu (10.1016/j.jcp.2006.06.002_bib2) 2001; 169 10.1016/j.jcp.2006.06.002_bib3 Huang (10.1016/j.jcp.2006.06.002_bib14) 2001; 171 Bochev (10.1016/j.jcp.2006.06.002_bib16) 1996; 12 Cai (10.1016/j.jcp.2006.06.002_bib19) 2004; 48 10.1016/j.jcp.2006.06.002_bib20 Liu (10.1016/j.jcp.2006.06.002_bib18) 1998; 20 10.1016/j.jcp.2006.06.002_bib26 Turek (10.1016/j.jcp.2006.06.002_bib22) 1999 10.1016/j.jcp.2006.06.002_bib23
References_xml	– volume: vol. 35 year: 2003 ident: bib9 article-title: The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations publication-title: Challenges in Scientific Computing – volume: 25 start-page: 755 year: 1999 end-page: 794 ident: bib5 article-title: A distributed Lagrange multiplier/fictitious domain method for particulate flows publication-title: Int. J. Multiphase Flow – volume: 26 start-page: 1509 year: 2000 end-page: 1524 ident: bib6 article-title: A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows publication-title: Int. J. Multiphase Flow – year: 1999 ident: bib22 article-title: Efficient Solvers for Incompressible Flow Problems – volume: 12 start-page: 489 year: 1996 ident: bib16 article-title: Analysis and computation of adaptive moving grids by deformation publication-title: Numer. Methods Partial Differ. Equat. – volume: 177 start-page: 483 year: 1987 end-page: 497 ident: bib27 article-title: Nonlinear mechanics of fluidization of beds of spherical particles publication-title: J. Fluid Mech. – reference: S. Turek, FEATFLOW-finite element software for the incompressible Navier–Stokes equations: User Manual, Release 1.2, University of Dortmund, 1999. – volume: vol. 2179 start-page: 409 year: 2001 end-page: 422 ident: bib29 article-title: A Lagrange multiplier/fictitious domain approach to particulate flows publication-title: Lecture Notes in Computer Science – reference: M. Grajewski, M. Köster, S. Kilian, S. Turek, Numerical analysis and practical aspects of a robust and efficient grid deformation method in the finite element context. Ergebnisberichte des Instituts für Angewandte Mathematik, Nummer 294, FB Mathematik, Universität Dortmund, 2005. Available from: – volume: 169 start-page: 363 year: 2001 end-page: 426 ident: bib7 article-title: A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow publication-title: J. Comput. Phys. – volume: 169 start-page: 427 year: 2001 end-page: 462 ident: bib2 article-title: Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian–Eulerian techniques publication-title: J. Comput. Phys. – volume: 51 start-page: 531 year: 2006 end-page: 566 ident: bib11 article-title: Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method publication-title: Int. J. Numer. Method Fluids – volume: 20 start-page: 811 year: 1998 end-page: 825 ident: bib18 article-title: An adaptive grid method and its application to steady Euler flow calculations publication-title: SIAM J. Sci. Comput. – volume: 3 start-page: 285 year: 1992 end-page: 306 ident: bib1 article-title: Direct simulation of fluid particle motions publication-title: Theor. Comput. Fluid Dyn. – volume: 82 start-page: 64 year: 1989 end-page: 84 ident: bib13 article-title: Local adaptive mesh refinement for shock hydrodynamics publication-title: J. Comput. Phys. – year: 2004 ident: bib10 article-title: An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies publication-title: Numerical Mathematics and Advanced Applications – volume: 172 start-page: 609 year: 2001 end-page: 639 ident: bib15 article-title: An efficient dynamically adaptive mesh for potentially singular solutions publication-title: J. Comput. Phys. – volume: 22 start-page: 987 year: 1996 end-page: 1011 ident: bib24 article-title: A comparative study of time stepping techniques for the incompressible Navier–Stokes equations: from fully implicit nonlinear schemes to semi-implicit projection methods publication-title: Int. J. Numer. Meth. Fluids – volume: 7 start-page: 1 year: 1990 end-page: 26 ident: bib21 article-title: On a partial differential equation involving the Jacobian determinant publication-title: Annales de le Institut Henri Poincare – volume: 11 start-page: 603 year: 1995 end-page: 615 ident: bib17 article-title: A moving grid finite-element method using grid deformation publication-title: Numer. Methods Partial Differ. Equat. – volume: 48 start-page: 1077 year: 2004 end-page: 1086 ident: bib19 article-title: Adaptive grid generation based on least-squares finite-element method publication-title: Comput. Math. Appl. – reference: G.P. Galdi, V. Heuveline, Lift and sedimentation of particles on the flow of a viscoelastic liquid in a channel. Available from: – volume: 156 start-page: 325 year: 1999 end-page: 351 ident: bib4 article-title: Direct simulations of 2D fluid-particle flows in biperiodic domains publication-title: J. Comput. Phys. – volume: 143 start-page: 271 year: 1997 end-page: 288 ident: bib25 article-title: On discrete projection methods for the incompressible Navier–Stokes equations: an algorithmical approach publication-title: Comput. Methods Appl. Mech. Eng. – volume: 171 start-page: 753 year: 2001 end-page: 775 ident: bib14 article-title: Practical aspects of formulation and solution of moving mesh partial differential equations publication-title: J. Comput. Phys. – volume: vol. IX start-page: 701 year: 2003 end-page: 769 ident: bib8 article-title: Finite element methods for incompressible viscous flow publication-title: Handbook of Numerical Analysis – reference: D.C. Wan, S. Turek, An efficient multigrid-FEM method for the simulation of liquid–solid two phase flows, J. Comput. Appl. Math. (in press). – reference: M. Schäfer, S. Turek, Benchmark computations of laminar flow around cylinder, in: E.H. Hirschel (Ed.), Flow Simulation with High-Performance Computers II. Notes on Numerical Fluid Mechanics, vol. 52, Vieweg, 1996, pp. 547–566. – reference: . – volume: 29 start-page: 495 year: 2003 end-page: 509 ident: bib28 article-title: Distributed Lagrange multiplier method for particulate flows with collisions publication-title: Int. J. Multiphase Flow – year: 2004 ident: 10.1016/j.jcp.2006.06.002_bib10 article-title: An efficient multigrid FEM solution technique for incompressible flow with moving rigid bodies – volume: 156 start-page: 325 year: 1999 ident: 10.1016/j.jcp.2006.06.002_bib4 article-title: Direct simulations of 2D fluid-particle flows in biperiodic domains publication-title: J. Comput. Phys. doi: 10.1006/jcph.1999.6365 – volume: 7 start-page: 1 year: 1990 ident: 10.1016/j.jcp.2006.06.002_bib21 article-title: On a partial differential equation involving the Jacobian determinant publication-title: Annales de le Institut Henri Poincare doi: 10.1016/S0294-1449(16)30307-9 – volume: 143 start-page: 271 year: 1997 ident: 10.1016/j.jcp.2006.06.002_bib25 article-title: On discrete projection methods for the incompressible Navier–Stokes equations: an algorithmical approach publication-title: Comput. Methods Appl. Mech. Eng. doi: 10.1016/S0045-7825(96)01155-3 – volume: vol. 2179 start-page: 409 year: 2001 ident: 10.1016/j.jcp.2006.06.002_bib29 article-title: A Lagrange multiplier/fictitious domain approach to particulate flows – volume: vol. 35 year: 2003 ident: 10.1016/j.jcp.2006.06.002_bib9 article-title: The fictitious boundary method for the implicit treatment of Dirichlet boundary conditions with applications to incompressible flow simulations – volume: 3 start-page: 285 year: 1992 ident: 10.1016/j.jcp.2006.06.002_bib1 article-title: Direct simulation of fluid particle motions publication-title: Theor. Comput. Fluid Dyn. doi: 10.1007/BF00717645 – ident: 10.1016/j.jcp.2006.06.002_bib20 – volume: 26 start-page: 1509 year: 2000 ident: 10.1016/j.jcp.2006.06.002_bib6 article-title: A new formulation of the distributed Lagrange multiplier/fictitious domain method for particulate flows publication-title: Int. J. Multiphase Flow doi: 10.1016/S0301-9322(99)00100-7 – volume: 48 start-page: 1077 issue: 7–8 year: 2004 ident: 10.1016/j.jcp.2006.06.002_bib19 article-title: Adaptive grid generation based on least-squares finite-element method publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2004.10.006 – volume: 25 start-page: 755 year: 1999 ident: 10.1016/j.jcp.2006.06.002_bib5 article-title: A distributed Lagrange multiplier/fictitious domain method for particulate flows publication-title: Int. J. Multiphase Flow doi: 10.1016/S0301-9322(98)00048-2 – volume: 172 start-page: 609 year: 2001 ident: 10.1016/j.jcp.2006.06.002_bib15 article-title: An efficient dynamically adaptive mesh for potentially singular solutions publication-title: J. Comput. Phys. doi: 10.1006/jcph.2001.6844 – volume: 12 start-page: 489 year: 1996 ident: 10.1016/j.jcp.2006.06.002_bib16 article-title: Analysis and computation of adaptive moving grids by deformation publication-title: Numer. Methods Partial Differ. Equat. doi: 10.1002/(SICI)1098-2426(199607)12:4<489::AID-NUM5>3.0.CO;2-I – volume: 169 start-page: 427 year: 2001 ident: 10.1016/j.jcp.2006.06.002_bib2 article-title: Direct numerical simulations of fluid-solid systems using the arbitrary Lagrangian–Eulerian techniques publication-title: J. Comput. Phys. doi: 10.1006/jcph.2000.6592 – volume: 29 start-page: 495 year: 2003 ident: 10.1016/j.jcp.2006.06.002_bib28 article-title: Distributed Lagrange multiplier method for particulate flows with collisions publication-title: Int. J. Multiphase Flow doi: 10.1016/S0301-9322(02)00164-7 – volume: 20 start-page: 811 issue: 3 year: 1998 ident: 10.1016/j.jcp.2006.06.002_bib18 article-title: An adaptive grid method and its application to steady Euler flow calculations publication-title: SIAM J. Sci. Comput. doi: 10.1137/S1064827596305738 – volume: 82 start-page: 64 year: 1989 ident: 10.1016/j.jcp.2006.06.002_bib13 article-title: Local adaptive mesh refinement for shock hydrodynamics publication-title: J. Comput. Phys. doi: 10.1016/0021-9991(89)90035-1 – volume: 177 start-page: 483 year: 1987 ident: 10.1016/j.jcp.2006.06.002_bib27 article-title: Nonlinear mechanics of fluidization of beds of spherical particles publication-title: J. Fluid Mech. doi: 10.1017/S0022112087001046 – ident: 10.1016/j.jcp.2006.06.002_bib12 – year: 1999 ident: 10.1016/j.jcp.2006.06.002_bib22 – volume: 51 start-page: 531 year: 2006 ident: 10.1016/j.jcp.2006.06.002_bib11 article-title: Direct numerical simulation of particulate flow via multigrid FEM techniques and the fictitious boundary method publication-title: Int. J. Numer. Method Fluids doi: 10.1002/fld.1129 – volume: 171 start-page: 753 year: 2001 ident: 10.1016/j.jcp.2006.06.002_bib14 article-title: Practical aspects of formulation and solution of moving mesh partial differential equations publication-title: J. Comput. Phys. doi: 10.1006/jcph.2001.6809 – volume: 11 start-page: 603 year: 1995 ident: 10.1016/j.jcp.2006.06.002_bib17 article-title: A moving grid finite-element method using grid deformation publication-title: Numer. Methods Partial Differ. Equat. doi: 10.1002/num.1690110606 – volume: 169 start-page: 363 year: 2001 ident: 10.1016/j.jcp.2006.06.002_bib7 article-title: A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow publication-title: J. Comput. Phys. doi: 10.1006/jcph.2000.6542 – ident: 10.1016/j.jcp.2006.06.002_bib26 doi: 10.1007/978-3-322-89849-4_39 – ident: 10.1016/j.jcp.2006.06.002_bib23 – volume: vol. IX start-page: 701 year: 2003 ident: 10.1016/j.jcp.2006.06.002_bib8 article-title: Finite element methods for incompressible viscous flow – volume: 22 start-page: 987 year: 1996 ident: 10.1016/j.jcp.2006.06.002_bib24 article-title: A comparative study of time stepping techniques for the incompressible Navier–Stokes equations: from fully implicit nonlinear schemes to semi-implicit projection methods publication-title: Int. J. Numer. Meth. Fluids doi: 10.1002/(SICI)1097-0363(19960530)22:10<987::AID-FLD394>3.0.CO;2-7 – ident: 10.1016/j.jcp.2006.06.002_bib3
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Snippet	In this paper, we investigate the numerical simulation of particulate flows using a new moving mesh method combined with the multigrid fictitious boundary...
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SubjectTerms	ALE Boundaries Computation Computational fluid dynamics Computational techniques Computer simulation Exact sciences and technology FEM Fictitious boundary Finite element method Fluid flow Mathematical methods in physics Mathematical models Moving mesh Multigrid Particulate flows Physics Wide area networks
Title	Fictitious boundary and moving mesh methods for the numerical simulation of rigid particulate flows
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