A parallel monolithic algorithm for the numerical simulation of large-scale fluid structure interaction problems

Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The governing incompressible Navier–Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian–Eulerian formulation‐based side‐...

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Published in:	International journal for numerical methods in fluids Vol. 80; no. 12; pp. 687 - 714
Main Authors:	Eken, Ali, Sahin, Mehmet
Format:	Journal Article
Language:	English
Published:	Bognor Regis Blackwell Publishing Ltd 30.04.2016 Wiley Subscription Services, Inc
Subjects:	Algorithms Computational fluid dynamics Computer simulation Conservation Finite element analysis finite element method Finite volume method Fluid flow fluid-structure interaction Fluids large displacement large-scale computation Mathematical analysis monolithic method Navier-Stokes equations unstructured finite volume method Viscous flow
ISSN:	0271-2091, 1097-0363
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Abstract	Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The governing incompressible Navier–Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian–Eulerian formulation‐based side‐centered unstructured finite volume method. The deformation of the solid domain is governed by the constitutive laws for the nonlinear Saint Venant–Kirchhoff material, and the classical Galerkin finite element method is used to discretize the governing equations in a Lagrangian frame. A special attention is given to construct an algorithm with exact total fluid volume conservation while obeying both the global and the local discrete geometric conservation law. The resulting large‐scale algebraic nonlinear equations are multiplied with an upper triangular right preconditioner that results in a scaled discrete Laplacian instead of a zero block in the original system. Then, a one‐level restricted additive Schwarz preconditioner with a block‐incomplete factorization within each partitioned sub‐domains is utilized for the modified system. The accuracy and performance of the proposed algorithm are verified for the several benchmark problems including a pressure pulse in a flexible circular tube, a flag interacting with an incompressible viscous flow, and so on. John Wiley & Sons, Ltd. A novel FSI algorithm is proposed for the large‐scale simulation of fluid‐structure interaction problems in a fully coupled form. A special attention is given to satisfy both the local and global discrete geometric conservation law (DGCL) in order to conserve the total fluid volume/mass in machine precision. Large‐scale numerical results are presented for several classical FSI benchmark problems.
AbstractList	A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The governing incompressible Navier–Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian–Eulerian formulation‐based side‐centered unstructured finite volume method. The deformation of the solid domain is governed by the constitutive laws for the nonlinear Saint Venant–Kirchhoff material, and the classical Galerkin finite element method is used to discretize the governing equations in a Lagrangian frame. A special attention is given to construct an algorithm with exact total fluid volume conservation while obeying both the global and the local discrete geometric conservation law. The resulting large‐scale algebraic nonlinear equations are multiplied with an upper triangular right preconditioner that results in a scaled discrete Laplacian instead of a zero block in the original system. Then, a one‐level restricted additive Schwarz preconditioner with a block‐incomplete factorization within each partitioned sub‐domains is utilized for the modified system. The accuracy and performance of the proposed algorithm are verified for the several benchmark problems including a pressure pulse in a flexible circular tube, a flag interacting with an incompressible viscous flow, and so on. John Wiley & Sons, Ltd. Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The governing incompressible Navier–Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian–Eulerian formulation‐based side‐centered unstructured finite volume method. The deformation of the solid domain is governed by the constitutive laws for the nonlinear Saint Venant–Kirchhoff material, and the classical Galerkin finite element method is used to discretize the governing equations in a Lagrangian frame. A special attention is given to construct an algorithm with exact total fluid volume conservation while obeying both the global and the local discrete geometric conservation law. The resulting large‐scale algebraic nonlinear equations are multiplied with an upper triangular right preconditioner that results in a scaled discrete Laplacian instead of a zero block in the original system. Then, a one‐level restricted additive Schwarz preconditioner with a block‐incomplete factorization within each partitioned sub‐domains is utilized for the modified system. The accuracy and performance of the proposed algorithm are verified for the several benchmark problems including a pressure pulse in a flexible circular tube, a flag interacting with an incompressible viscous flow, and so on. John Wiley & Sons, Ltd. A novel FSI algorithm is proposed for the large‐scale simulation of fluid‐structure interaction problems in a fully coupled form. A special attention is given to satisfy both the local and global discrete geometric conservation law (DGCL) in order to conserve the total fluid volume/mass in machine precision. Large‐scale numerical results are presented for several classical FSI benchmark problems. Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large-scale fluid structure interaction problems. The governing incompressible Navier-Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian-Eulerian formulation-based side-centered unstructured finite volume method. The deformation of the solid domain is governed by the constitutive laws for the nonlinear Saint Venant-Kirchhoff material, and the classical Galerkin finite element method is used to discretize the governing equations in a Lagrangian frame. A special attention is given to construct an algorithm with exact total fluid volume conservation while obeying both the global and the local discrete geometric conservation law. The resulting large-scale algebraic nonlinear equations are multiplied with an upper triangular right preconditioner that results in a scaled discrete Laplacian instead of a zero block in the original system. Then, a one-level restricted additive Schwarz preconditioner with a block-incomplete factorization within each partitioned sub-domains is utilized for the modified system. The accuracy and performance of the proposed algorithm are verified for the several benchmark problems including a pressure pulse in a flexible circular tube, a flag interacting with an incompressible viscous flow, and so on. John Wiley & Sons, Ltd. A novel parallel monolithic algorithm has been developed for the numerical simulation of large-scale fluid structure interaction problems. The governing incompressible Navier-Stokes equations for the fluid domain are discretized using the arbitrary Lagrangian-Eulerian formulation-based side-centered unstructured finite volume method. The deformation of the solid domain is governed by the constitutive laws for the nonlinear Saint Venant-Kirchhoff material, and the classical Galerkin finite element method is used to discretize the governing equations in a Lagrangian frame. A special attention is given to construct an algorithm with exact total fluid volume conservation while obeying both the global and the local discrete geometric conservation law. The resulting large-scale algebraic nonlinear equations are multiplied with an upper triangular right preconditioner that results in a scaled discrete Laplacian instead of a zero block in the original system. Then, a one-level restricted additive Schwarz preconditioner with a block-incomplete factorization within each partitioned sub-domains is utilized for the modified system. The accuracy and performance of the proposed algorithm are verified for the several benchmark problems including a pressure pulse in a flexible circular tube, a flag interacting with an incompressible viscous flow, and so on. John Wiley & Sons, Ltd. A novel FSI algorithm is proposed for the large-scale simulation of fluid-structure interaction problems in a fully coupled form. A special attention is given to satisfy both the local and global discrete geometric conservation law (DGCL) in order to conserve the total fluid volume/mass in machine precision. Large-scale numerical results are presented for several classical FSI benchmark problems.
Author	Sahin, Mehmet Eken, Ali
Author_xml	– sequence: 1 givenname: Ali surname: Eken fullname: Eken, Ali organization: Astronautical Engineering Department, Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey – sequence: 2 givenname: Mehmet surname: Sahin fullname: Sahin, Mehmet email: Correspondence to: Mehmet Sahin, Astronautical Engineering Department, Faculty of Aeronautics and Astronautics, Istanbul Technical University, Maslak, Istanbul 34469, Turkey., msahin.ae00@gtalumni.org organization: Astronautical Engineering Department, Faculty of Aeronautics and Astronautics, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
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Snippet	Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The... A novel parallel monolithic algorithm has been developed for the numerical simulation of large‐scale fluid structure interaction problems. The governing... Summary A novel parallel monolithic algorithm has been developed for the numerical simulation of large-scale fluid structure interaction problems. The... A novel parallel monolithic algorithm has been developed for the numerical simulation of large-scale fluid structure interaction problems. The governing...
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SubjectTerms	Algorithms Computational fluid dynamics Computer simulation Conservation Finite element analysis finite element method Finite volume method Fluid flow fluid-structure interaction Fluids large displacement large-scale computation Mathematical analysis monolithic method Navier-Stokes equations unstructured finite volume method Viscous flow
Title	A parallel monolithic algorithm for the numerical simulation of large-scale fluid structure interaction problems
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